Index

A

a (pygeoinf.symmetric_space.line.Lebesgue property) (pygeoinf.symmetric_space.line.Sobolev property) AbstractSymmetricLebesgueSpace (class in pygeoinf.symmetric_space) (class in pygeoinf.symmetric_space.symmetric_space) add() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method) add_cut() (pygeoinf.convex_optimisation.Bundle method) add_observation() (pygeoinf.data_assimilation.AssimilationEngine method) (pygeoinf.data_assimilation.core.AssimilationEngine method) adjoint (pygeoinf.linear_operators.LinearOperator property) (pygeoinf.LinearOperator property) affine_mapping() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) (pygeoinf.symmetric_space.InvariantGaussianMeasure method) (pygeoinf.symmetric_space.symmetric_space.InvariantGaussianMeasure method) AffineOperator (class in pygeoinf) (class in pygeoinf.affine_operators) AffineOperatorAxiomChecks (class in pygeoinf.checks.affine_operators) AffineSubspace (class in pygeoinf) (class in pygeoinf.subspaces) ambient_ball() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) angle_to_point() (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.line.Sobolev method) (pygeoinf.symmetric_space.plane.Lebesgue method) angle_to_point_x() (pygeoinf.symmetric_space.plane.Lebesgue method) angle_to_point_y() (pygeoinf.symmetric_space.plane.Lebesgue method) angles() (pygeoinf.symmetric_space.circle.Sobolev method) animate_advection() (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.visualisation) animate_combined() (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.visualisation) animate_ensemble_phase_space() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.visualisation)

animate_linear_comparison() (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.visualisation) animate_pendulum() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.visualisation) (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.visualisation) animate_phase_portrait() (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.visualisation) apply_function() (pygeoinf.DiagonalSparseMatrixLinearOperator method) (pygeoinf.linear_operators.DiagonalSparseMatrixLinearOperator method) (pygeoinf.low_rank.LowRankEig method) (pygeoinf.LowRankEig method) apply_operator_function() (in module pygeoinf.functional_calculus) as_linear_operator (pygeoinf.linear_forms.LinearForm property) (pygeoinf.LinearForm property) as_multivariate_normal() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) assert_data_error_measure() (pygeoinf.inversion.Inversion method) assert_inverse_data_covariance() (pygeoinf.inversion.Inversion method) AssimilationEngine (class in pygeoinf.data_assimilation) (class in pygeoinf.data_assimilation.core) AutonomousDynamicalSystem (class in pygeoinf.dynamical_system) AutonomousLinearSystem (class in pygeoinf.dynamical_system) ax() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) axpy() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method)

B

b (pygeoinf.symmetric_space.line.Lebesgue property) (pygeoinf.symmetric_space.line.Sobolev property) BackusInference (class in pygeoinf.backus_gilbert) Ball (class in pygeoinf) (class in pygeoinf.subsets) BallSupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) BandedPreconditioningMethod (class in pygeoinf) (class in pygeoinf.preconditioners) base_operator (pygeoinf.functional_calculus.LanczosOperatorFunction property) (pygeoinf.LanczosOperatorFunction property) basis_vector() (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) bayes_update() (pygeoinf.data_assimilation.core.ProbabilityGrid method) (pygeoinf.data_assimilation.ProbabilityGrid method) BayesianAssimilationProblem (class in pygeoinf.data_assimilation) (class in pygeoinf.data_assimilation.core) best_available_qp_solver() (in module pygeoinf.convex_optimisation) best_point() (pygeoinf.convex_optimisation.Bundle method) BICGMatrixSolver() (in module pygeoinf) (in module pygeoinf.linear_solvers) BICGStabMatrixSolver() (in module pygeoinf) (in module pygeoinf.linear_solvers) BICGStabSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) block() (pygeoinf.BlockDiagonalLinearOperator method) (pygeoinf.BlockLinearOperator method) (pygeoinf.BlockStructure method) (pygeoinf.ColumnLinearOperator method) (pygeoinf.direct_sum.BlockDiagonalLinearOperator method) (pygeoinf.direct_sum.BlockLinearOperator method) (pygeoinf.direct_sum.BlockStructure method) (pygeoinf.direct_sum.ColumnLinearOperator method) (pygeoinf.direct_sum.RowLinearOperator method) (pygeoinf.RowLinearOperator method) BlockDiagonalLinearOperator (class in pygeoinf) (class in pygeoinf.direct_sum)

BlockLinearOperator (class in pygeoinf) (class in pygeoinf.direct_sum) BlockStructure (class in pygeoinf) (class in pygeoinf.direct_sum) boundary (pygeoinf.AffineSubspace property) (pygeoinf.Ball property) (pygeoinf.Complement property) (pygeoinf.Ellipsoid property) (pygeoinf.EllipsoidSurface property) (pygeoinf.EmptySet property) (pygeoinf.Intersection property) (pygeoinf.LevelSet property) (pygeoinf.SublevelSet property) (pygeoinf.Subset property) (pygeoinf.subsets.Ball property) (pygeoinf.subsets.Complement property) (pygeoinf.subsets.Ellipsoid property) (pygeoinf.subsets.EllipsoidSurface property) (pygeoinf.subsets.EmptySet property) (pygeoinf.subsets.HalfSpace property) (pygeoinf.subsets.HyperPlane property) (pygeoinf.subsets.Intersection property) (pygeoinf.subsets.LevelSet property) (pygeoinf.subsets.PolyhedralSet property) (pygeoinf.subsets.SublevelSet property) (pygeoinf.subsets.Subset property) (pygeoinf.subsets.Union property) (pygeoinf.subsets.UniversalSet property) (pygeoinf.subspaces.AffineSubspace property) (pygeoinf.Union property) (pygeoinf.UniversalSet property) bounds_x (pygeoinf.symmetric_space.plane.Lebesgue property) (pygeoinf.symmetric_space.plane.Sobolev property) bounds_y (pygeoinf.symmetric_space.plane.Lebesgue property) (pygeoinf.symmetric_space.plane.Sobolev property) Bundle (class in pygeoinf.convex_optimisation) BundleResult (class in pygeoinf.convex_optimisation)

C

c (pygeoinf.symmetric_space.line.Lebesgue property) (pygeoinf.symmetric_space.line.Sobolev property) callable() (pygeoinf.convex_analysis.SupportFunction class method) (pygeoinf.SupportFunction class method) CallableSupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) canonical_dual_inverse_isomorphism() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.HilbertSpaceDirectSum method) canonical_dual_isomorphism() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.HilbertSpaceDirectSum method) CGMatrixSolver() (in module pygeoinf) (in module pygeoinf.linear_solvers) CGSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) ChambollePockResult (class in pygeoinf.convex_optimisation) ChambollePockSolver (class in pygeoinf.convex_optimisation) check() (pygeoinf.checks.affine_operators.AffineOperatorAxiomChecks method) (pygeoinf.checks.hilbert_space.HilbertSpaceAxiomChecks method) (pygeoinf.checks.linear_operators.LinearOperatorAxiomChecks method) (pygeoinf.checks.nonlinear_operators.NonLinearOperatorAxiomChecks method) (pygeoinf.ConvexSubset method) (pygeoinf.subsets.ConvexSubset method) chi_squared() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.LinearForwardProblem method) chi_squared_from_residual() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.LinearForwardProblem method) chi_squared_test() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.LinearForwardProblem method) CholeskySolver (class in pygeoinf) (class in pygeoinf.linear_solvers) circle_space (pygeoinf.symmetric_space.line.Lebesgue property) (pygeoinf.symmetric_space.line.Sobolev property) ClarabelQPSolver (class in pygeoinf.convex_optimisation) closure() (pygeoinf.ConvexSubset method) (pygeoinf.subsets.ConvexSubset method) cluster_points() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) codomain (pygeoinf.nonlinear_operators.NonLinearOperator property) (pygeoinf.NonLinearOperator property) coefficients() (pygeoinf.spectral_operator.SpectralFractionalOperator method) col_dim (pygeoinf.BlockStructure property) (pygeoinf.direct_sum.BlockStructure property) ColumnLinearOperator (class in pygeoinf) (class in pygeoinf.direct_sum) ColumnThresholdedPreconditioningMethod (class in pygeoinf) (class in pygeoinf.preconditioners) Complement (class in pygeoinf) (class in pygeoinf.subsets) complement (pygeoinf.Complement property) (pygeoinf.EmptySet property) (pygeoinf.Intersection property) (pygeoinf.LinearSubspace property) (pygeoinf.OrthogonalProjector property) (pygeoinf.Subset property) (pygeoinf.subsets.Complement property) (pygeoinf.subsets.EmptySet property) (pygeoinf.subsets.Intersection property) (pygeoinf.subsets.Subset property) (pygeoinf.subsets.Union property) (pygeoinf.subsets.UniversalSet property) (pygeoinf.subspaces.LinearSubspace property) (pygeoinf.subspaces.OrthogonalProjector property) (pygeoinf.Union property) (pygeoinf.UniversalSet property)

components (pygeoinf.linear_forms.LinearForm property) (pygeoinf.LinearForm property) compress() (pygeoinf.convex_optimisation.Bundle method) condition_gaussian_measure() (pygeoinf.AffineSubspace method) (pygeoinf.subspaces.AffineSubspace method) configure_threading() (in module pygeoinf) (in module pygeoinf.utils) ConstrainedLinearLeastSquaresInversion (class in pygeoinf) (class in pygeoinf.linear_optimisation) ConstrainedLinearMinimumNormInversion (class in pygeoinf) (class in pygeoinf.linear_optimisation) constraint_operator (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) constraint_value (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) constraint_value_mapping() (pygeoinf.ConstrainedLinearMinimumNormInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearMinimumNormInversion method) converged (pygeoinf.convex_optimisation.BundleResult attribute), [1] (pygeoinf.convex_optimisation.ChambollePockResult attribute), [1] (pygeoinf.convex_optimisation.KKTResult attribute), [1] (pygeoinf.convex_optimisation.SubgradientResult attribute), [1] (pygeoinf.KKTResult attribute), [1] ConvexIntersection (class in pygeoinf.subsets) ConvexSubset (class in pygeoinf) (class in pygeoinf.subsets) coordinate_inclusion (pygeoinf.hilbert_space.HilbertSpace property) (pygeoinf.HilbertSpace property) coordinate_projection (pygeoinf.hilbert_space.HilbertSpace property) (pygeoinf.HilbertSpace property) copy() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.linear_forms.LinearForm method) (pygeoinf.LinearForm method) (pygeoinf.MassWeightedHilbertSpace method) covariance (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) covariance_factor (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) covariance_factor_set (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) create_map_figure() (in module pygeoinf.symmetric_space.sphere) credible_set() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) critical_chi_squared (pygeoinf.backus_gilbert.BackusInference property) critical_chi_squared() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.LinearForwardProblem method) csphase (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.sphere.Sobolev property) Cut (class in pygeoinf.convex_optimisation)

D

d_factor (pygeoinf.low_rank.LowRankEig property) (pygeoinf.LowRankEig property) data_error_measure (pygeoinf.forward_problem.ForwardProblem property) (pygeoinf.ForwardProblem property) data_error_measure_set (pygeoinf.forward_problem.ForwardProblem property) (pygeoinf.ForwardProblem property) data_measure_from_model() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.inversion.LinearInversion method) (pygeoinf.LinearForwardProblem method) data_measure_from_model_measure() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.inversion.LinearInversion method) (pygeoinf.LinearForwardProblem method) data_prior_measure (pygeoinf.linear_bayesian.LinearBayesianInversion property) (pygeoinf.LinearBayesianInversion property) data_reduced_inversion() (pygeoinf.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.ConstrainedLinearMinimumNormInversion method) (pygeoinf.inversion.LinearInversion method) (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearMinimumNormInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearBayesianInversion method) (pygeoinf.LinearLeastSquaresInversion method) data_reduced_problem() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.LinearForwardProblem method) data_space (pygeoinf.forward_problem.ForwardProblem property) (pygeoinf.ForwardProblem property) (pygeoinf.inversion.Inversion property) deflated_diagonal() (in module pygeoinf.low_rank) deflated_pointwise_std() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) deflated_pointwise_variance() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) degree (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.SymmetricHilbertSpace property) degree_multiplicity() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) degree_transfer_operator() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) DenseMatrixLinearOperator (class in pygeoinf) (class in pygeoinf.linear_operators) derivative() (pygeoinf.nonlinear_forms.NonLinearForm method) (pygeoinf.nonlinear_operators.NonLinearOperator method) (pygeoinf.NonLinearForm method) (pygeoinf.NonLinearOperator method) derivative_operator (pygeoinf.symmetric_space.circle.Sobolev property) (pygeoinf.symmetric_space.line.Sobolev property) diagonal_normal_preconditioner() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) diagonal_operator (pygeoinf.spectral_operator.SpectralFractionalOperator property) DiagonalSparseMatrixLinearOperator (class in pygeoinf) (class in pygeoinf.linear_operators) dim (pygeoinf.direct_sum.HilbertSpaceDirectSum property) (pygeoinf.DualHilbertSpace property) (pygeoinf.EuclideanSpace property) (pygeoinf.hilbert_space.DualHilbertSpace property) (pygeoinf.hilbert_space.EuclideanSpace property) (pygeoinf.hilbert_space.HilbertSpace property) (pygeoinf.hilbert_space.MassWeightedHilbertSpace property) (pygeoinf.HilbertSpace property) (pygeoinf.HilbertSpaceDirectSum property) (pygeoinf.MassWeightedHilbertSpace property) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.SymmetricHilbertSpace property)

dimension() (pygeoinf.subsets.HyperPlane method) dirac() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) dirac_representation() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) direction (pygeoinf.backus_gilbert.DualMasterCostFunction property) (pygeoinf.DualMasterCostFunction property) directional_bound() (pygeoinf.Ball method) (pygeoinf.ConvexSubset method) (pygeoinf.Ellipsoid method) (pygeoinf.subsets.Ball method) (pygeoinf.subsets.ConvexIntersection method) (pygeoinf.subsets.ConvexSubset method) (pygeoinf.subsets.Ellipsoid method) directional_covariance() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) directional_statistics() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) directional_variance() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) DirectLinearSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) display_animation_html() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) distance_localized_preconditioner() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) distance_to() (pygeoinf.subsets.HalfSpace method) (pygeoinf.subsets.HyperPlane method) domain (pygeoinf.convex_optimisation.SubgradientDescent property) (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) (pygeoinf.linear_forms.LinearForm property) (pygeoinf.LinearForm property) (pygeoinf.nonlinear_forms.NonLinearForm property) (pygeoinf.nonlinear_operators.NonLinearOperator property) (pygeoinf.NonLinearForm property) (pygeoinf.NonLinearOperator property) (pygeoinf.SubgradientDescent property) (pygeoinf.Subset property) (pygeoinf.subsets.Subset property) domain_mask() (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) download_gsn_stations() (in module pygeoinf) (in module pygeoinf.datasets) download_usgs_earthquakes() (in module pygeoinf) (in module pygeoinf.datasets) dual (pygeoinf.DualHilbertSpace property) (pygeoinf.hilbert_space.DualHilbertSpace property) (pygeoinf.hilbert_space.HilbertSpace property) (pygeoinf.HilbertSpace property) (pygeoinf.linear_operators.LinearOperator property) (pygeoinf.LinearOperator property) DualHilbertSpace (class in pygeoinf) (class in pygeoinf.hilbert_space) duality_product() (pygeoinf.DualHilbertSpace method) (pygeoinf.hilbert_space.DualHilbertSpace method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) DualMasterCostFunction (class in pygeoinf) (class in pygeoinf.backus_gilbert) dynamical_rule() (pygeoinf.dynamical_system.AutonomousDynamicalSystem method) (pygeoinf.dynamical_system.AutonomousLinearSystem method) (pygeoinf.dynamical_system.DynamicalSystem method) (pygeoinf.dynamical_system.LinearDynamicalSystem method) DynamicalSystem (class in pygeoinf.dynamical_system)

E

EigenSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) eigenvalues (pygeoinf.low_rank.LowRankEig property) (pygeoinf.LowRankEig property) (pygeoinf.symmetric_space.InvariantLinearAutomorphism property) (pygeoinf.symmetric_space.symmetric_space.InvariantLinearAutomorphism property) Ellipsoid (class in pygeoinf) (class in pygeoinf.subsets) EllipsoidSupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) EllipsoidSurface (class in pygeoinf) (class in pygeoinf.subsets) embed_point() (pygeoinf.plot.SubspaceSlicePlotter method) (pygeoinf.SubspaceSlicePlotter method) empirical_data_error_measure() (in module pygeoinf.auxiliary) EmptySet (class in pygeoinf) (class in pygeoinf.subsets) EnsembleKalmanFilter (class in pygeoinf.data_assimilation) (class in pygeoinf.data_assimilation.core) eom() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.physics) (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.physics) eom_linear() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.physics) (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.physics) eom_tangent_linear() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.physics) (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.physics) estimate_log_determinant() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method)

estimate_truncation_degree() (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.plane.Sobolev method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) EuclideanSpace (class in pygeoinf) (class in pygeoinf.hilbert_space) evaluate() (pygeoinf.data_assimilation.core.GaussianLikelihood method) (pygeoinf.data_assimilation.core.LinearGaussianLikelihood method) (pygeoinf.data_assimilation.GaussianLikelihood method) (pygeoinf.data_assimilation.LinearGaussianLikelihood method) ExactBlockPreconditioningMethod (class in pygeoinf) (class in pygeoinf.preconditioners) expectation (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) extend (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.sphere.Sobolev property) extract_diagonal() (pygeoinf.linear_operators.LinearOperator method) (pygeoinf.linear_operators.MatrixLinearOperator method) (pygeoinf.linear_operators.SparseMatrixLinearOperator method) (pygeoinf.LinearOperator method) (pygeoinf.MatrixLinearOperator method) (pygeoinf.SparseMatrixLinearOperator method) extract_diagonals() (pygeoinf.DiagonalSparseMatrixLinearOperator method) (pygeoinf.linear_operators.DiagonalSparseMatrixLinearOperator method) (pygeoinf.linear_operators.LinearOperator method) (pygeoinf.linear_operators.MatrixLinearOperator method) (pygeoinf.linear_operators.SparseMatrixLinearOperator method) (pygeoinf.LinearOperator method) (pygeoinf.MatrixLinearOperator method) (pygeoinf.SparseMatrixLinearOperator method)

F

f (pygeoinf.convex_optimisation.Cut attribute), [1] f_best (pygeoinf.convex_optimisation.BundleResult attribute), [1] (pygeoinf.convex_optimisation.SubgradientResult attribute), [1] f_final (pygeoinf.convex_optimisation.SubgradientResult attribute), [1] f_low (pygeoinf.convex_optimisation.BundleResult attribute), [1] FCGSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) feasible_lower_bound() (pygeoinf.subsets.ConvexIntersection method) fft_factor (pygeoinf.symmetric_space.circle.Lebesgue property) (pygeoinf.symmetric_space.circle.Sobolev property) (pygeoinf.symmetric_space.torus.Lebesgue property) (pygeoinf.symmetric_space.torus.Sobolev property) finalize() (pygeoinf.linear_solvers.ProgressCallback method) (pygeoinf.ProgressCallback method) flexural_operator() (pygeoinf.symmetric_space.AbstractSymmetricLebesgueSpace method) (pygeoinf.symmetric_space.symmetric_space.AbstractSymmetricLebesgueSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) form (pygeoinf.LevelSet property) (pygeoinf.SublevelSet property) (pygeoinf.subsets.LevelSet property) (pygeoinf.subsets.SublevelSet property) formalism (pygeoinf.inversion.LinearInversion property) forward_operator (pygeoinf.forward_problem.ForwardProblem property) (pygeoinf.ForwardProblem property) forward_problem (pygeoinf.inversion.Inversion property) ForwardProblem (class in pygeoinf) (class in pygeoinf.forward_problem) fractional_operators_from_eig() (in module pygeoinf.spectral_operator) from_basis() (pygeoinf.LinearSubspace class method) (pygeoinf.OrthogonalProjector class method) (pygeoinf.subspaces.LinearSubspace class method) (pygeoinf.subspaces.OrthogonalProjector class method) from_bounds() (pygeoinf.data_assimilation.core.ProbabilityGrid class method) (pygeoinf.data_assimilation.ProbabilityGrid class method) from_callable() (pygeoinf.spectral_operator.SpectralFractionalOperator class method) from_coefficient_operator() (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.plane.Sobolev method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) from_coefficients() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.circle.Sobolev method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.line.Sobolev method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) from_complement_basis() (pygeoinf.AffineSubspace class method) (pygeoinf.LinearSubspace class method) (pygeoinf.subspaces.AffineSubspace class method) (pygeoinf.subspaces.LinearSubspace class method) from_components() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.DualHilbertSpace method) (pygeoinf.EuclideanSpace method) (pygeoinf.hilbert_space.DualHilbertSpace method) (pygeoinf.hilbert_space.EuclideanSpace method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method) (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) from_covariance() (pygeoinf.symmetric_space.circle.Lebesgue class method) (pygeoinf.symmetric_space.circle.Sobolev class method) (pygeoinf.symmetric_space.line.Lebesgue class method) (pygeoinf.symmetric_space.line.Sobolev class method) (pygeoinf.symmetric_space.plane.Lebesgue class method) (pygeoinf.symmetric_space.plane.Sobolev class method) (pygeoinf.symmetric_space.sphere.Lebesgue class method) (pygeoinf.symmetric_space.sphere.Sobolev class method) (pygeoinf.symmetric_space.torus.Lebesgue class method) (pygeoinf.symmetric_space.torus.Sobolev class method) from_covariance_matrix() (pygeoinf.gaussian_measure.GaussianMeasure static method) (pygeoinf.GaussianMeasure static method) from_diagonal_values() (pygeoinf.DiagonalSparseMatrixLinearOperator class method) (pygeoinf.linear_operators.DiagonalSparseMatrixLinearOperator class method) from_direct_sum() (pygeoinf.forward_problem.LinearForwardProblem static method) (pygeoinf.gaussian_measure.GaussianMeasure static method) (pygeoinf.GaussianMeasure static method) (pygeoinf.LinearForwardProblem static method)

from_dual() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.DualHilbertSpace method) (pygeoinf.EuclideanSpace method) (pygeoinf.hilbert_space.DualHilbertSpace method) (pygeoinf.hilbert_space.EuclideanSpace method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) from_formal_adjoint() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) from_formally_self_adjoint() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) from_function() (pygeoinf.symmetric_space.InvariantGaussianMeasure static method) (pygeoinf.symmetric_space.InvariantLinearAutomorphism static method) (pygeoinf.symmetric_space.symmetric_space.InvariantGaussianMeasure static method) (pygeoinf.symmetric_space.symmetric_space.InvariantLinearAutomorphism static method) from_heat_kernel_prior() (pygeoinf.symmetric_space.circle.Lebesgue class method) (pygeoinf.symmetric_space.circle.Sobolev class method) (pygeoinf.symmetric_space.line.Lebesgue class method) (pygeoinf.symmetric_space.line.Sobolev class method) (pygeoinf.symmetric_space.plane.Lebesgue class method) (pygeoinf.symmetric_space.plane.Sobolev class method) (pygeoinf.symmetric_space.sphere.Lebesgue class method) (pygeoinf.symmetric_space.sphere.Sobolev class method) (pygeoinf.symmetric_space.torus.Lebesgue class method) (pygeoinf.symmetric_space.torus.Sobolev class method) from_hyperplanes() (pygeoinf.AffineSubspace class method) (pygeoinf.subspaces.AffineSubspace class method) from_index_function() (pygeoinf.symmetric_space.InvariantGaussianMeasure static method) (pygeoinf.symmetric_space.InvariantLinearAutomorphism static method) (pygeoinf.symmetric_space.symmetric_space.InvariantGaussianMeasure static method) (pygeoinf.symmetric_space.symmetric_space.InvariantLinearAutomorphism static method) from_kernel() (pygeoinf.LinearSubspace class method) (pygeoinf.subspaces.LinearSubspace class method) from_linear_equation() (pygeoinf.AffineSubspace class method) (pygeoinf.subspaces.AffineSubspace class method) from_linear_form() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) from_linear_forms() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) from_linear_operator() (pygeoinf.DenseMatrixLinearOperator static method) (pygeoinf.linear_forms.LinearForm static method) (pygeoinf.linear_operators.DenseMatrixLinearOperator static method) (pygeoinf.LinearForm static method) from_low_rank_eig() (pygeoinf.spectral_operator.SpectralFractionalOperator class method) from_matrix() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) from_operator() (pygeoinf.DiagonalSparseMatrixLinearOperator class method) (pygeoinf.linear_operators.DiagonalSparseMatrixLinearOperator class method) from_randomized() (pygeoinf.low_rank.LowRankCholesky class method) (pygeoinf.low_rank.LowRankEig class method) (pygeoinf.low_rank.LowRankSVD class method) (pygeoinf.LowRankCholesky class method) (pygeoinf.LowRankEig class method) (pygeoinf.LowRankSVD class method) from_samples() (pygeoinf.gaussian_measure.GaussianMeasure static method) (pygeoinf.GaussianMeasure static method) from_sobolev_kernel_prior() (pygeoinf.symmetric_space.circle.Lebesgue class method) (pygeoinf.symmetric_space.circle.Sobolev class method) (pygeoinf.symmetric_space.line.Lebesgue class method) (pygeoinf.symmetric_space.line.Sobolev class method) (pygeoinf.symmetric_space.plane.Lebesgue class method) (pygeoinf.symmetric_space.plane.Sobolev class method) (pygeoinf.symmetric_space.sphere.Lebesgue class method) (pygeoinf.symmetric_space.sphere.Sobolev class method) (pygeoinf.symmetric_space.torus.Lebesgue class method) (pygeoinf.symmetric_space.torus.Sobolev class method) from_sobolev_parameters() (pygeoinf.symmetric_space.circle.Sobolev static method) (pygeoinf.symmetric_space.line.Sobolev static method) (pygeoinf.symmetric_space.plane.Sobolev static method) (pygeoinf.symmetric_space.sphere.Sobolev static method) (pygeoinf.symmetric_space.torus.Sobolev static method) from_standard_deviation() (pygeoinf.gaussian_measure.GaussianMeasure static method) (pygeoinf.GaussianMeasure static method) from_standard_deviations() (pygeoinf.gaussian_measure.GaussianMeasure static method) (pygeoinf.GaussianMeasure static method) from_tangent_basis() (pygeoinf.AffineSubspace class method) (pygeoinf.subspaces.AffineSubspace class method) from_tensor_product() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) from_vector() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) from_vectors() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) function_values (pygeoinf.convex_optimisation.BundleResult attribute), [1] (pygeoinf.convex_optimisation.SubgradientResult attribute), [1]

G

g (pygeoinf.convex_optimisation.Cut attribute), [1] gap (pygeoinf.convex_optimisation.BundleResult attribute), [1] gaussian_curvature (pygeoinf.symmetric_space.circle.Lebesgue property) (pygeoinf.symmetric_space.line.Lebesgue property) (pygeoinf.symmetric_space.plane.Lebesgue property) (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace property) (pygeoinf.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.SymmetricSobolevSpace property) (pygeoinf.symmetric_space.torus.Lebesgue property) GaussianLikelihood (class in pygeoinf.data_assimilation) (class in pygeoinf.data_assimilation.core) GaussianMeasure (class in pygeoinf) (class in pygeoinf.gaussian_measure) generate_synthetic_data() (pygeoinf.data_assimilation.BayesianAssimilationProblem method) (pygeoinf.data_assimilation.core.BayesianAssimilationProblem method) geodesic_ball_average() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) geodesic_ball_integral() (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) geodesic_ball_quadrature() (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) geodesic_distance() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) geodesic_integral() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) geodesic_integral_representation() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) geodesic_quadrature() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method)

get_coords() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.physics) (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.physics) get_gaussian_pdf() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) get_independent_gaussian_pdf() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) get_jacobian() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.physics) (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.physics) get_linear_matrix() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.physics) get_linear_propagator() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.physics) (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.physics) get_normal_equations_rhs() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) get_tangent_basis() (pygeoinf.AffineSubspace method) (pygeoinf.subspaces.AffineSubspace method) GMRESMatrixSolver() (in module pygeoinf) (in module pygeoinf.linear_solvers) gradient() (pygeoinf.convex_optimisation.SmoothedDualMaster method) (pygeoinf.nonlinear_forms.NonLinearForm method) (pygeoinf.NonLinearForm method) gradient_dot_product() (pygeoinf.symmetric_space.AbstractSymmetricLebesgueSpace method) (pygeoinf.symmetric_space.symmetric_space.AbstractSymmetricLebesgueSpace method) gram_schmidt() (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) grid (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.sphere.Sobolev property) grid_type (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.sphere.Sobolev property)

H

half_spaces (pygeoinf.subsets.PolyhedralSet property) HalfSpace (class in pygeoinf.subsets) HalfSpaceSupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) has_derivative (pygeoinf.nonlinear_operators.NonLinearOperator property) (pygeoinf.NonLinearOperator property) has_explicit_equation (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) has_gradient (pygeoinf.nonlinear_forms.NonLinearForm property) (pygeoinf.NonLinearForm property) has_hessian (pygeoinf.nonlinear_forms.NonLinearForm property) (pygeoinf.NonLinearForm property) has_subgradient (pygeoinf.nonlinear_forms.NonLinearForm property) (pygeoinf.NonLinearForm property) has_zero_expectation (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property)

heat_kernel() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace static method) (pygeoinf.symmetric_space.SymmetricHilbertSpace static method) heat_kernel_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) hessian() (pygeoinf.nonlinear_forms.NonLinearForm method) (pygeoinf.NonLinearForm method) HilbertModule (class in pygeoinf) (class in pygeoinf.hilbert_space) HilbertSpace (class in pygeoinf) (class in pygeoinf.hilbert_space) HilbertSpaceAxiomChecks (class in pygeoinf.checks.hilbert_space) HilbertSpaceDirectSum (class in pygeoinf) (class in pygeoinf.direct_sum) HyperPlane (class in pygeoinf.subsets)

I

identity_operator() (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) IdentityPreconditioningMethod (class in pygeoinf) (class in pygeoinf.preconditioners) image() (pygeoinf.convex_analysis.SupportFunction method) (pygeoinf.SupportFunction method) index_to_integer() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) indices (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.SymmetricHilbertSpace property) inequality_type (pygeoinf.convex_analysis.HalfSpaceSupportFunction property) (pygeoinf.HalfSpaceSupportFunction property) (pygeoinf.subsets.HalfSpace property) Inference (class in pygeoinf.inversion) inner_product() (pygeoinf.EuclideanSpace method) (pygeoinf.hilbert_space.EuclideanSpace method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.MassWeightedHilbertSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) integer_to_index() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) intersect() (pygeoinf.Subset method) (pygeoinf.subsets.Subset method) Intersection (class in pygeoinf) (class in pygeoinf.subsets) invariant_automorphism() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) invariant_covariance_function() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) invariant_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) InvariantGaussianMeasure (class in pygeoinf.symmetric_space) (class in pygeoinf.symmetric_space.symmetric_space) InvariantLinearAutomorphism (class in pygeoinf.symmetric_space) (class in pygeoinf.symmetric_space.symmetric_space) inverse (pygeoinf.DiagonalSparseMatrixLinearOperator property) (pygeoinf.linear_operators.DiagonalSparseMatrixLinearOperator property) (pygeoinf.symmetric_space.InvariantLinearAutomorphism property) (pygeoinf.symmetric_space.symmetric_space.InvariantLinearAutomorphism property) inverse_covariance (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) inverse_covariance_factor (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) inverse_covariance_factor_set (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) inverse_covariance_set (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) inverse_fft_factor (pygeoinf.symmetric_space.circle.Lebesgue property) (pygeoinf.symmetric_space.circle.Sobolev property) (pygeoinf.symmetric_space.torus.Lebesgue property) (pygeoinf.symmetric_space.torus.Sobolev property) inverse_flexural_operator() (pygeoinf.symmetric_space.AbstractSymmetricLebesgueSpace method) (pygeoinf.symmetric_space.symmetric_space.AbstractSymmetricLebesgueSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) inverse_mass_operator (pygeoinf.hilbert_space.MassWeightedHilbertSpace property) (pygeoinf.MassWeightedHilbertSpace property)

inverse_riesz (pygeoinf.hilbert_space.HilbertSpace property) (pygeoinf.HilbertSpace property) Inversion (class in pygeoinf.inversion) iris_stations() (pygeoinf.symmetric_space.sphere.Lebesgue static method) (pygeoinf.symmetric_space.sphere.Sobolev static method) is_automorphism (pygeoinf.nonlinear_operators.NonLinearOperator property) (pygeoinf.NonLinearOperator property) is_autonomous (pygeoinf.dynamical_system.AutonomousDynamicalSystem property) (pygeoinf.dynamical_system.AutonomousLinearSystem property) (pygeoinf.dynamical_system.DynamicalSystem property) is_bounded() (pygeoinf.subsets.HalfSpace method) (pygeoinf.subsets.PolyhedralSet method) is_closed (pygeoinf.ConvexSubset property) (pygeoinf.subsets.ConvexSubset property) is_dense (pygeoinf.linear_operators.MatrixLinearOperator property) (pygeoinf.MatrixLinearOperator property) is_element() (pygeoinf.AffineSubspace method) (pygeoinf.Ball method) (pygeoinf.Complement method) (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.DualHilbertSpace method) (pygeoinf.EmptySet method) (pygeoinf.EuclideanSpace method) (pygeoinf.hilbert_space.DualHilbertSpace method) (pygeoinf.hilbert_space.EuclideanSpace method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.Intersection method) (pygeoinf.LevelSet method) (pygeoinf.MassWeightedHilbertSpace method) (pygeoinf.Sphere method) (pygeoinf.SublevelSet method) (pygeoinf.Subset method) (pygeoinf.subsets.Ball method) (pygeoinf.subsets.Complement method) (pygeoinf.subsets.EmptySet method) (pygeoinf.subsets.HalfSpace method) (pygeoinf.subsets.HyperPlane method) (pygeoinf.subsets.Intersection method) (pygeoinf.subsets.LevelSet method) (pygeoinf.subsets.PolyhedralSet method) (pygeoinf.subsets.Sphere method) (pygeoinf.subsets.SublevelSet method) (pygeoinf.subsets.Subset method) (pygeoinf.subsets.Union method) (pygeoinf.subsets.UniversalSet method) (pygeoinf.subspaces.AffineSubspace method) (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) (pygeoinf.Union method) (pygeoinf.UniversalSet method) is_empty (pygeoinf.EmptySet property) (pygeoinf.Subset property) (pygeoinf.subsets.EmptySet property) (pygeoinf.subsets.HalfSpace property) (pygeoinf.subsets.PolyhedralSet property) (pygeoinf.subsets.Subset property) is_galerkin (pygeoinf.linear_operators.MatrixLinearOperator property) (pygeoinf.MatrixLinearOperator property) is_open (pygeoinf.SublevelSet property) (pygeoinf.subsets.SublevelSet property) is_square (pygeoinf.nonlinear_operators.NonLinearOperator property) (pygeoinf.NonLinearOperator property) is_strictly_diagonal (pygeoinf.DiagonalSparseMatrixLinearOperator property) (pygeoinf.linear_operators.DiagonalSparseMatrixLinearOperator property) iter_lanczos_tridiagonalize() (in module pygeoinf.functional_calculus) iterates (pygeoinf.convex_optimisation.BundleResult attribute), [1] (pygeoinf.convex_optimisation.SubgradientResult attribute), [1] iteration (pygeoinf.convex_optimisation.Cut attribute), [1] iterations (pygeoinf.IterativeLinearSolver property) (pygeoinf.linear_solvers.IterativeLinearSolver property) IterativeLinearSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) IterativePreconditioningMethod (class in pygeoinf) (class in pygeoinf.preconditioners)

J

JacobiPreconditioningMethod (class in pygeoinf) (class in pygeoinf.preconditioners) joint_measure() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.inversion.LinearInversion method) (pygeoinf.LinearForwardProblem method)

joint_prior_measure (pygeoinf.linear_bayesian.LinearBayesianInversion property) (pygeoinf.LinearBayesianInversion property)

K

kalman_operator() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) KKTResult (class in pygeoinf) (class in pygeoinf.convex_optimisation) kl_divergence() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) (pygeoinf.symmetric_space.InvariantGaussianMeasure method) (pygeoinf.symmetric_space.symmetric_space.InvariantGaussianMeasure method)

kmax (pygeoinf.symmetric_space.circle.Lebesgue property) (pygeoinf.symmetric_space.circle.Sobolev property) (pygeoinf.symmetric_space.line.Lebesgue property) (pygeoinf.symmetric_space.line.Sobolev property) (pygeoinf.symmetric_space.plane.Lebesgue property) (pygeoinf.symmetric_space.plane.Sobolev property) (pygeoinf.symmetric_space.torus.Lebesgue property) (pygeoinf.symmetric_space.torus.Sobolev property)

L

l2_products_operator() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) l_factor (pygeoinf.low_rank.LowRankCholesky property) (pygeoinf.LowRankCholesky property) lanczos_tridiagonalize() (in module pygeoinf.functional_calculus) LanczosOperatorFunction (class in pygeoinf) (class in pygeoinf.functional_calculus) laplacian (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.SymmetricHilbertSpace property) laplacian_eigenvalue() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) laplacian_eigenvector_squared_norm() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) laplacian_eigenvectors_at_point() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) least_squares_operator() (pygeoinf.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearLeastSquaresInversion method) Lebesgue (class in pygeoinf.symmetric_space.circle) (class in pygeoinf.symmetric_space.line) (class in pygeoinf.symmetric_space.plane) (class in pygeoinf.symmetric_space.sphere) (class in pygeoinf.symmetric_space.torus) level (pygeoinf.LevelSet property) (pygeoinf.SublevelSet property) (pygeoinf.subsets.LevelSet property) (pygeoinf.subsets.SublevelSet property) LevelBundleMethod (class in pygeoinf.convex_optimisation) LevelSet (class in pygeoinf) (class in pygeoinf.subsets)

line_search() (in module pygeoinf.nonlinear_optimisation) linear (pygeoinf.linear_operators.LinearOperator property) (pygeoinf.LinearOperator property) linear_part (pygeoinf.affine_operators.AffineOperator property) (pygeoinf.AffineOperator property) LinearBayesianInversion (class in pygeoinf) (class in pygeoinf.linear_bayesian) LinearDynamicalSystem (class in pygeoinf.dynamical_system) LinearForm (class in pygeoinf) (class in pygeoinf.linear_forms) LinearForwardProblem (class in pygeoinf) (class in pygeoinf.forward_problem) LinearGaussianLikelihood (class in pygeoinf.data_assimilation) (class in pygeoinf.data_assimilation.core) LinearImageSupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) LinearInference (class in pygeoinf.inversion) LinearInversion (class in pygeoinf.inversion) linearization_matrix() (pygeoinf.convex_optimisation.Bundle method) LinearKalmanFilter (class in pygeoinf.data_assimilation) (class in pygeoinf.data_assimilation.core) LinearLeastSquaresInversion (class in pygeoinf) (class in pygeoinf.linear_optimisation) LinearMinimumNormInversion (class in pygeoinf) (class in pygeoinf.linear_optimisation) LinearOperator (class in pygeoinf) (class in pygeoinf.linear_operators) LinearOperatorAxiomChecks (class in pygeoinf.checks.linear_operators) LinearSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) LinearSubspace (class in pygeoinf) (class in pygeoinf.subspaces) lmax (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.sphere.Sobolev property) load_gsn_stations() (in module pygeoinf) (in module pygeoinf.datasets) log_evidence() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) low_rank_approximation() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) low_rank_surrogate() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) lower_bound() (pygeoinf.convex_optimisation.Bundle method) LowRankCholesky (class in pygeoinf) (class in pygeoinf.low_rank) LowRankEig (class in pygeoinf) (class in pygeoinf.low_rank) LowRankSVD (class in pygeoinf) (class in pygeoinf.low_rank) LSQRSolver (class in pygeoinf.linear_solvers) LUSolver (class in pygeoinf) (class in pygeoinf.linear_solvers)

M

m (pygeoinf.convex_optimisation.ChambollePockResult attribute), [1] (pygeoinf.convex_optimisation.KKTResult attribute), [1] (pygeoinf.KKTResult attribute), [1] mahalanobis_evidence_term() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) marginalise() (pygeoinf.data_assimilation.core.ProbabilityGrid method) (pygeoinf.data_assimilation.ProbabilityGrid method) mass_operator (pygeoinf.hilbert_space.MassWeightedHilbertSpace property) (pygeoinf.MassWeightedHilbertSpace property) MassWeightedHilbertModule (class in pygeoinf) (class in pygeoinf.hilbert_space) MassWeightedHilbertSpace (class in pygeoinf) (class in pygeoinf.hilbert_space) matrix() (pygeoinf.linear_operators.LinearOperator method) (pygeoinf.LinearOperator method) MatrixLinearOperator (class in pygeoinf) (class in pygeoinf.linear_operators) mean (pygeoinf.data_assimilation.core.ProbabilityGrid property) (pygeoinf.data_assimilation.ProbabilityGrid property) minimize() (pygeoinf.nonlinear_optimisation.ScipyUnconstrainedOptimiser method) (pygeoinf.ScipyUnconstrainedOptimiser method) minimum_norm_operator() (pygeoinf.ConstrainedLinearMinimumNormInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearMinimumNormInversion method) (pygeoinf.linear_optimisation.LinearMinimumNormInversion method) (pygeoinf.LinearMinimumNormInversion method) MinkowskiSumSupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) MinResSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) model_posterior_measure() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) model_prior_measure (pygeoinf.linear_bayesian.LinearBayesianInversion property) (pygeoinf.LinearBayesianInversion property) model_space (pygeoinf.forward_problem.ForwardProblem property) (pygeoinf.ForwardProblem property) (pygeoinf.inversion.Inversion property) module pygeoinf pygeoinf.affine_operators pygeoinf.auxiliary pygeoinf.backus_gilbert pygeoinf.checks pygeoinf.checks.affine_operators pygeoinf.checks.hilbert_space pygeoinf.checks.linear_operators pygeoinf.checks.nonlinear_operators pygeoinf.config pygeoinf.convex_analysis pygeoinf.convex_optimisation pygeoinf.data_assimilation pygeoinf.data_assimilation.core pygeoinf.data_assimilation.pendulum pygeoinf.data_assimilation.pendulum.double pygeoinf.data_assimilation.pendulum.double.physics pygeoinf.data_assimilation.pendulum.double.visualisation pygeoinf.data_assimilation.pendulum.single pygeoinf.data_assimilation.pendulum.single.physics pygeoinf.data_assimilation.pendulum.single.visualisation pygeoinf.datasets pygeoinf.direct_sum pygeoinf.dynamical_system pygeoinf.forward_problem pygeoinf.functional_calculus pygeoinf.gaussian_measure pygeoinf.hilbert_space pygeoinf.inversion pygeoinf.linear_bayesian pygeoinf.linear_forms pygeoinf.linear_operators pygeoinf.linear_optimisation pygeoinf.linear_solvers pygeoinf.low_rank pygeoinf.nonlinear_forms pygeoinf.nonlinear_operators pygeoinf.nonlinear_optimisation pygeoinf.parallel pygeoinf.plot pygeoinf.preconditioners pygeoinf.quadratic_form_quantile pygeoinf.spectral_operator pygeoinf.subsets pygeoinf.subspaces pygeoinf.symmetric_space pygeoinf.symmetric_space.circle pygeoinf.symmetric_space.line pygeoinf.symmetric_space.plane pygeoinf.symmetric_space.sphere pygeoinf.symmetric_space.symmetric_space pygeoinf.symmetric_space.torus pygeoinf.utils

mu (pygeoinf.convex_optimisation.ChambollePockResult attribute), [1] multipliers (pygeoinf.convex_optimisation.KKTResult attribute), [1] (pygeoinf.KKTResult attribute), [1] multiply() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method)

N

negative() (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.MassWeightedHilbertSpace method) NonLinearForm (class in pygeoinf) (class in pygeoinf.nonlinear_forms) NonLinearOperator (class in pygeoinf) (class in pygeoinf.nonlinear_operators) NonLinearOperatorAxiomChecks (class in pygeoinf.checks.nonlinear_operators) norm() (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) norm_scaled_heat_kernel_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) norm_scaled_invariant_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) norm_scaled_sobolev_kernel_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) normal_norm (pygeoinf.subsets.HalfSpace property) (pygeoinf.subsets.HyperPlane property) normal_operator (pygeoinf.linear_bayesian.LinearBayesianInversion property) (pygeoinf.LinearBayesianInversion property) normal_operator() (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearLeastSquaresInversion method) normal_residual_callback() (pygeoinf.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearBayesianInversion method) (pygeoinf.LinearLeastSquaresInversion method)

normal_rhs() (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearLeastSquaresInversion method) normal_vector (pygeoinf.convex_analysis.HalfSpaceSupportFunction property) (pygeoinf.HalfSpaceSupportFunction property) (pygeoinf.subsets.HalfSpace property) (pygeoinf.subsets.HyperPlane property) normalise() (pygeoinf.data_assimilation.core.ProbabilityGrid method) (pygeoinf.data_assimilation.ProbabilityGrid method) NormalisedEllipsoid (class in pygeoinf) (class in pygeoinf.subsets) normalization (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.sphere.Sobolev property) normalized (pygeoinf.Ellipsoid property) (pygeoinf.EllipsoidSurface property) (pygeoinf.subsets.Ellipsoid property) (pygeoinf.subsets.EllipsoidSurface property) num_iterations (pygeoinf.convex_optimisation.BundleResult attribute), [1] (pygeoinf.convex_optimisation.ChambollePockResult attribute), [1] (pygeoinf.convex_optimisation.KKTResult attribute), [1] (pygeoinf.convex_optimisation.SubgradientResult attribute), [1] (pygeoinf.KKTResult attribute), [1] num_serious_steps (pygeoinf.convex_optimisation.BundleResult attribute), [1] number_of_subspaces (pygeoinf.direct_sum.HilbertSpaceDirectSum property) (pygeoinf.HilbertSpaceDirectSum property)

O

obj (pygeoinf.convex_optimisation.QPResult attribute), [1] observed_data (pygeoinf.backus_gilbert.DualMasterCostFunction property) (pygeoinf.DualMasterCostFunction property) offset (pygeoinf.convex_analysis.HalfSpaceSupportFunction property) (pygeoinf.HalfSpaceSupportFunction property) (pygeoinf.subsets.HalfSpace property) (pygeoinf.subsets.HyperPlane property) offsets (pygeoinf.DiagonalSparseMatrixLinearOperator property) (pygeoinf.linear_operators.DiagonalSparseMatrixLinearOperator property) operator_function_quadratic_form() (in module pygeoinf.functional_calculus)

oracle (pygeoinf.convex_optimisation.SubgradientDescent property) (pygeoinf.SubgradientDescent property) order (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace property) (pygeoinf.symmetric_space.SymmetricSobolevSpace property) order_inclusion_operator() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) OrthogonalProjector (class in pygeoinf) (class in pygeoinf.subspaces) orthonormal (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.SymmetricHilbertSpace property) OSQPQPSolver (class in pygeoinf.convex_optimisation)

P

pairs_within_distance() (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) parallel_compute_dense_matrix_from_scipy_op() (in module pygeoinf.parallel) parallel_mat_mat() (in module pygeoinf.parallel) parameterized_inversion() (pygeoinf.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.ConstrainedLinearMinimumNormInversion method) (pygeoinf.inversion.LinearInversion method) (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearMinimumNormInversion method) (pygeoinf.LinearBayesianInversion method) parameterized_problem() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.LinearForwardProblem method) parse_bounds() (pygeoinf.plot.SubspaceSlicePlotter method) (pygeoinf.SubspaceSlicePlotter method) path_average_operator() (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) plot() (in module pygeoinf.symmetric_space.circle) (in module pygeoinf.symmetric_space.line) (in module pygeoinf.symmetric_space.plane) (in module pygeoinf.symmetric_space.sphere) (in module pygeoinf.symmetric_space.torus) (pygeoinf.plot.SubspaceSlicePlotter method) (pygeoinf.Subset method) (pygeoinf.subsets.Subset method) (pygeoinf.SubspaceSlicePlotter method) plot_1d_distributions() (in module pygeoinf) (in module pygeoinf.plot) plot_1d_slice() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) plot_bayesian_analysis() (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.visualisation) plot_corner_distributions() (in module pygeoinf) (in module pygeoinf.plot) plot_ensemble_phase_space() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.visualisation) plot_ensemble_scatter() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) plot_error_bounds() (in module pygeoinf.symmetric_space.circle) (in module pygeoinf.symmetric_space.line) plot_gaussian_ellipsoid() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) plot_geodesic() (in module pygeoinf.symmetric_space.plane) (in module pygeoinf.symmetric_space.sphere) (in module pygeoinf.symmetric_space.torus) plot_geodesic_network() (in module pygeoinf.symmetric_space.plane) (in module pygeoinf.symmetric_space.sphere) (in module pygeoinf.symmetric_space.torus) plot_grid_marginal() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) plot_kf_step() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) plot_phase_portrait() (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.visualisation) plot_points() (in module pygeoinf.symmetric_space.plane) (in module pygeoinf.symmetric_space.sphere) (in module pygeoinf.symmetric_space.torus) plot_sensitivity_divergence() (in module pygeoinf.data_assimilation.pendulum.double) (in module pygeoinf.data_assimilation.pendulum.double.visualisation) plot_slice() (in module pygeoinf) (in module pygeoinf.plot) plot_tracker_1d() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) plot_trajectory_from_initial_condition() (in module pygeoinf.data_assimilation.pendulum.single) (in module pygeoinf.data_assimilation.pendulum.single.visualisation) point() (pygeoinf.convex_analysis.SupportFunction class method) (pygeoinf.SupportFunction class method) point_evaluation_operator() (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) point_spacing (pygeoinf.symmetric_space.circle.Lebesgue property) (pygeoinf.symmetric_space.circle.Sobolev property) point_to_angle() (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.line.Sobolev method) (pygeoinf.symmetric_space.plane.Lebesgue method) point_value_scaled_heat_kernel_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) point_value_scaled_invariant_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) point_value_scaled_sobolev_kernel_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) points() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.circle.Sobolev method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.line.Sobolev method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.plane.Sobolev method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) PointSupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) PolyhedralSet (class in pygeoinf.subsets) posterior_expectation_operator() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) preconditioner (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) primal_domain (pygeoinf.convex_analysis.SupportFunction property) (pygeoinf.SupportFunction property) primal_dual_gap (pygeoinf.convex_optimisation.ChambollePockResult attribute), [1] PrimalKKTSolver (class in pygeoinf) (class in pygeoinf.convex_optimisation) prior_norm_bound (pygeoinf.backus_gilbert.BackusInference property) ProbabilityGrid (class in pygeoinf.data_assimilation) (class in pygeoinf.data_assimilation.core) ProgressCallback (class in pygeoinf) (class in pygeoinf.linear_solvers) project() (pygeoinf.AffineSubspace method) (pygeoinf.subsets.HalfSpace method) (pygeoinf.subsets.HyperPlane method) (pygeoinf.subspaces.AffineSubspace method) project_function() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.circle.Sobolev method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.line.Sobolev method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.plane.Sobolev method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method)

projection_operator (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) projector (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) property_operator (pygeoinf.inversion.Inference property) property_space (pygeoinf.inversion.Inference property) ProximalBundleMethod (class in pygeoinf) (class in pygeoinf.convex_optimisation) pseudo_inverse (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) push_forward() (pygeoinf.data_assimilation.core.ProbabilityGrid method) (pygeoinf.data_assimilation.ProbabilityGrid method) pygeoinf module pygeoinf.affine_operators module pygeoinf.auxiliary module pygeoinf.backus_gilbert module pygeoinf.checks module pygeoinf.checks.affine_operators module pygeoinf.checks.hilbert_space module pygeoinf.checks.linear_operators module pygeoinf.checks.nonlinear_operators module pygeoinf.config module pygeoinf.convex_analysis module pygeoinf.convex_optimisation module pygeoinf.data_assimilation module pygeoinf.data_assimilation.core module pygeoinf.data_assimilation.pendulum module pygeoinf.data_assimilation.pendulum.double module pygeoinf.data_assimilation.pendulum.double.physics module pygeoinf.data_assimilation.pendulum.double.visualisation module pygeoinf.data_assimilation.pendulum.single module pygeoinf.data_assimilation.pendulum.single.physics module pygeoinf.data_assimilation.pendulum.single.visualisation module pygeoinf.datasets module pygeoinf.direct_sum module pygeoinf.dynamical_system module pygeoinf.forward_problem module pygeoinf.functional_calculus module pygeoinf.gaussian_measure module pygeoinf.hilbert_space module pygeoinf.inversion module pygeoinf.linear_bayesian module pygeoinf.linear_forms module pygeoinf.linear_operators module pygeoinf.linear_optimisation module pygeoinf.linear_solvers module pygeoinf.low_rank module pygeoinf.nonlinear_forms module pygeoinf.nonlinear_operators module pygeoinf.nonlinear_optimisation module pygeoinf.parallel module pygeoinf.plot module pygeoinf.preconditioners module pygeoinf.quadratic_form_quantile module pygeoinf.spectral_operator module pygeoinf.subsets module pygeoinf.subspaces module pygeoinf.symmetric_space module pygeoinf.symmetric_space.circle module pygeoinf.symmetric_space.line module pygeoinf.symmetric_space.plane module pygeoinf.symmetric_space.sphere module pygeoinf.symmetric_space.symmetric_space module pygeoinf.symmetric_space.torus module pygeoinf.utils module

Q

QPResult (class in pygeoinf.convex_optimisation)

QPSolver (class in pygeoinf.convex_optimisation) quadratic_form_squared() (pygeoinf.spectral_operator.SpectralFractionalOperator method)

R

radius (pygeoinf.symmetric_space.circle.Lebesgue property) (pygeoinf.symmetric_space.circle.Sobolev property) (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.sphere.Sobolev property) radius_x (pygeoinf.symmetric_space.torus.Lebesgue property) (pygeoinf.symmetric_space.torus.Sobolev property) radius_y (pygeoinf.symmetric_space.torus.Lebesgue property) (pygeoinf.symmetric_space.torus.Sobolev property) random() (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) random_diagonal() (in module pygeoinf.low_rank) random_domain_points() (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) random_earthquakes() (pygeoinf.symmetric_space.sphere.Lebesgue static method) (pygeoinf.symmetric_space.sphere.Sobolev static method) random_point() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) random_points() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) random_range() (in module pygeoinf.low_rank) random_source_receiver_paths() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) rank (pygeoinf.low_rank.LowRankCholesky property) (pygeoinf.low_rank.LowRankEig property) (pygeoinf.low_rank.LowRankSVD property) (pygeoinf.LowRankCholesky property) (pygeoinf.LowRankEig property) (pygeoinf.LowRankSVD property) (pygeoinf.spectral_operator.SpectralFractionalOperator property) raw_eigenvalues (pygeoinf.spectral_operator.SpectralFractionalOperator property) reanalyse_initial_condition() (pygeoinf.data_assimilation.AssimilationEngine method) (pygeoinf.data_assimilation.BayesianAssimilationProblem method) (pygeoinf.data_assimilation.core.AssimilationEngine method) (pygeoinf.data_assimilation.core.BayesianAssimilationProblem method) (pygeoinf.data_assimilation.core.EnsembleKalmanFilter method) (pygeoinf.data_assimilation.core.LinearKalmanFilter method) (pygeoinf.data_assimilation.EnsembleKalmanFilter method) (pygeoinf.data_assimilation.LinearKalmanFilter method)

representative_index() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) rescale_directional_variance() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) rescale_norm_variance() (pygeoinf.symmetric_space.InvariantGaussianMeasure method) (pygeoinf.symmetric_space.symmetric_space.InvariantGaussianMeasure method) reset() (pygeoinf.linear_solvers.ProgressCallback method) (pygeoinf.ProgressCallback method) ResidualTrackingCallback (class in pygeoinf) (class in pygeoinf.linear_solvers) riesz (pygeoinf.hilbert_space.HilbertSpace property) (pygeoinf.HilbertSpace property) row_dim (pygeoinf.BlockStructure property) (pygeoinf.direct_sum.BlockStructure property) RowLinearOperator (class in pygeoinf) (class in pygeoinf.direct_sum) run() (pygeoinf.data_assimilation.AssimilationEngine method) (pygeoinf.data_assimilation.BayesianAssimilationProblem method) (pygeoinf.data_assimilation.core.AssimilationEngine method) (pygeoinf.data_assimilation.core.BayesianAssimilationProblem method) (pygeoinf.data_assimilation.core.EnsembleKalmanFilter method) (pygeoinf.data_assimilation.core.LinearKalmanFilter method) (pygeoinf.data_assimilation.EnsembleKalmanFilter method) (pygeoinf.data_assimilation.LinearKalmanFilter method)

S

safe (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace property) (pygeoinf.symmetric_space.SymmetricSobolevSpace property) sample() (pygeoinf.data_assimilation.core.GaussianLikelihood method) (pygeoinf.data_assimilation.core.ProbabilityGrid method) (pygeoinf.data_assimilation.GaussianLikelihood method) (pygeoinf.data_assimilation.ProbabilityGrid method) (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) sample_earthquakes() (in module pygeoinf) (in module pygeoinf.datasets) sample_expectation() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) sample_membership() (pygeoinf.plot.SubspaceSlicePlotter method) (pygeoinf.SubspaceSlicePlotter method) sample_pointwise_std() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) sample_pointwise_variance() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) sample_power_measure() (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) sample_set (pygeoinf.gaussian_measure.GaussianMeasure property) (pygeoinf.GaussianMeasure property) samples() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) sampling (pygeoinf.symmetric_space.sphere.Lebesgue property) (pygeoinf.symmetric_space.sphere.Sobolev property) scale (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace property) (pygeoinf.symmetric_space.SymmetricSobolevSpace property) scale() (pygeoinf.convex_analysis.SupportFunction method) (pygeoinf.SupportFunction method) ScaledSupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) ScipyIterativeSolver (class in pygeoinf) (class in pygeoinf.linear_solvers) SciPyQPSolver (class in pygeoinf.convex_optimisation) ScipyUnconstrainedOptimiser (class in pygeoinf) (class in pygeoinf.nonlinear_optimisation) self_adjoint() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) self_adjoint_from_matrix() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) self_adjoint_from_tensor_product() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) self_dual() (pygeoinf.linear_operators.LinearOperator static method) (pygeoinf.LinearOperator static method) set_direction() (pygeoinf.backus_gilbert.DualMasterCostFunction method) (pygeoinf.DualMasterCostFunction method) sigma_factor (pygeoinf.low_rank.LowRankSVD property) (pygeoinf.LowRankSVD property) significance_level (pygeoinf.backus_gilbert.BackusInference property) singular_values (pygeoinf.low_rank.LowRankSVD property) (pygeoinf.LowRankSVD property) SmoothedDualMaster (class in pygeoinf.convex_optimisation) SmoothedLBFGSSolver (class in pygeoinf.convex_optimisation) Sobolev (class in pygeoinf.symmetric_space.circle) (class in pygeoinf.symmetric_space.line) (class in pygeoinf.symmetric_space.plane) (class in pygeoinf.symmetric_space.sphere) (class in pygeoinf.symmetric_space.torus) sobolev_function() (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) sobolev_kernel() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace static method) (pygeoinf.symmetric_space.SymmetricHilbertSpace static method) sobolev_kernel_gaussian_measure() (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) SolutionTrackingCallback (class in pygeoinf) (class in pygeoinf.linear_solvers) solve() (pygeoinf.convex_optimisation.ChambollePockSolver method) (pygeoinf.convex_optimisation.ClarabelQPSolver method) (pygeoinf.convex_optimisation.LevelBundleMethod method) (pygeoinf.convex_optimisation.OSQPQPSolver method) (pygeoinf.convex_optimisation.PrimalKKTSolver method) (pygeoinf.convex_optimisation.ProximalBundleMethod method) (pygeoinf.convex_optimisation.QPSolver method) (pygeoinf.convex_optimisation.SciPyQPSolver method) (pygeoinf.convex_optimisation.SmoothedLBFGSSolver method) (pygeoinf.convex_optimisation.SubgradientDescent method) (pygeoinf.PrimalKKTSolver method) (pygeoinf.ProximalBundleMethod method) (pygeoinf.SubgradientDescent method) solve_adjoint_linear_system() (pygeoinf.IterativeLinearSolver method) (pygeoinf.linear_solvers.IterativeLinearSolver method) solve_ensemble() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) solve_linear_system() (pygeoinf.BICGStabSolver method) (pygeoinf.CGSolver method) (pygeoinf.FCGSolver method) (pygeoinf.IterativeLinearSolver method) (pygeoinf.linear_solvers.BICGStabSolver method) (pygeoinf.linear_solvers.CGSolver method) (pygeoinf.linear_solvers.FCGSolver method) (pygeoinf.linear_solvers.IterativeLinearSolver method) (pygeoinf.linear_solvers.LSQRSolver method) (pygeoinf.linear_solvers.MinResSolver method) (pygeoinf.linear_solvers.ScipyIterativeSolver method) (pygeoinf.MinResSolver method) (pygeoinf.ScipyIterativeSolver method) solve_primal_feasibility() (in module pygeoinf.convex_optimisation) solve_support_values() (in module pygeoinf.convex_optimisation) solve_trajectory() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core) solver (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) sparse_array (pygeoinf.linear_operators.SparseMatrixLinearOperator property) (pygeoinf.SparseMatrixLinearOperator property) sparse_localized_preconditioner() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) SparseMatrixLinearOperator (class in pygeoinf) (class in pygeoinf.linear_operators)

spatial_dimension (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.SymmetricHilbertSpace property) spectral_projection_operator() (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.plane.Sobolev method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) spectral_variances (pygeoinf.symmetric_space.InvariantGaussianMeasure property) (pygeoinf.symmetric_space.symmetric_space.InvariantGaussianMeasure property) SpectralFractionalOperator (class in pygeoinf.spectral_operator) SpectralPreconditioningMethod (class in pygeoinf) (class in pygeoinf.preconditioners) Sphere (class in pygeoinf) (class in pygeoinf.subsets) spherical_cap_average() (pygeoinf.symmetric_space.sphere.Lebesgue method) spherical_cap_integral() (pygeoinf.symmetric_space.sphere.Lebesgue method) sqrt (pygeoinf.DiagonalSparseMatrixLinearOperator property) (pygeoinf.linear_operators.DiagonalSparseMatrixLinearOperator property) squared_norm() (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) squared_norms (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace property) (pygeoinf.symmetric_space.SymmetricHilbertSpace property) status (pygeoinf.convex_optimisation.QPResult attribute), [1] subgradient() (pygeoinf.convex_analysis.SupportFunction method) (pygeoinf.nonlinear_forms.NonLinearForm method) (pygeoinf.NonLinearForm method) (pygeoinf.SupportFunction method) SubgradientDescent (class in pygeoinf) (class in pygeoinf.convex_optimisation) SubgradientResult (class in pygeoinf.convex_optimisation) SublevelSet (class in pygeoinf) (class in pygeoinf.subsets) Subset (class in pygeoinf) (class in pygeoinf.subsets) subsets (pygeoinf.Intersection property) (pygeoinf.subsets.ConvexIntersection property) (pygeoinf.subsets.Intersection property) (pygeoinf.subsets.Union property) (pygeoinf.Union property) subspace() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.HilbertSpaceDirectSum method) subspace_inclusion() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.HilbertSpaceDirectSum method) subspace_projection() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.EuclideanSpace method) (pygeoinf.hilbert_space.EuclideanSpace method) (pygeoinf.HilbertSpaceDirectSum method) subspaces (pygeoinf.direct_sum.HilbertSpaceDirectSum property) (pygeoinf.HilbertSpaceDirectSum property) SubspaceSlicePlotter (class in pygeoinf) (class in pygeoinf.plot) subtract() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method) support_fn (pygeoinf.ConvexSubset property) (pygeoinf.subsets.ConvexSubset property) support_function (pygeoinf.Ball property) (pygeoinf.ConvexSubset property) (pygeoinf.Ellipsoid property) (pygeoinf.subsets.Ball property) (pygeoinf.subsets.ConvexIntersection property) (pygeoinf.subsets.ConvexSubset property) (pygeoinf.subsets.Ellipsoid property) (pygeoinf.subsets.HalfSpace property) (pygeoinf.subsets.PolyhedralSet property) support_point() (pygeoinf.BallSupportFunction method) (pygeoinf.CallableSupportFunction method) (pygeoinf.convex_analysis.BallSupportFunction method) (pygeoinf.convex_analysis.CallableSupportFunction method) (pygeoinf.convex_analysis.EllipsoidSupportFunction method) (pygeoinf.convex_analysis.HalfSpaceSupportFunction method) (pygeoinf.convex_analysis.LinearImageSupportFunction method) (pygeoinf.convex_analysis.MinkowskiSumSupportFunction method) (pygeoinf.convex_analysis.PointSupportFunction method) (pygeoinf.convex_analysis.ScaledSupportFunction method) (pygeoinf.convex_analysis.SupportFunction method) (pygeoinf.EllipsoidSupportFunction method) (pygeoinf.HalfSpaceSupportFunction method) (pygeoinf.LinearImageSupportFunction method) (pygeoinf.MinkowskiSumSupportFunction method) (pygeoinf.PointSupportFunction method) (pygeoinf.ScaledSupportFunction method) (pygeoinf.SupportFunction method) support_upper_bound() (pygeoinf.subsets.ConvexIntersection method) SupportFunction (class in pygeoinf) (class in pygeoinf.convex_analysis) surrogate_inversion() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearBayesianInversion method) (pygeoinf.LinearLeastSquaresInversion method) surrogate_normal_preconditioner() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.LinearBayesianInversion method) surrogate_woodbury_data_preconditioner() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearBayesianInversion method) (pygeoinf.LinearLeastSquaresInversion method) surrogate_woodbury_model_preconditioner() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearBayesianInversion method) (pygeoinf.LinearLeastSquaresInversion method) SymmetricHilbertSpace (class in pygeoinf.symmetric_space) (class in pygeoinf.symmetric_space.symmetric_space) SymmetricSobolevSpace (class in pygeoinf.symmetric_space) (class in pygeoinf.symmetric_space.symmetric_space) synthetic_data() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.LinearForwardProblem method) synthetic_model_and_data() (pygeoinf.forward_problem.LinearForwardProblem method) (pygeoinf.LinearForwardProblem method)

T

tangent_space (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) test_data_compatibility() (pygeoinf.backus_gilbert.BackusInference method) to_coefficient_operator() (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.plane.Sobolev method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) to_coefficients() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.circle.Sobolev method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.line.Sobolev method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) to_components() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.DualHilbertSpace method) (pygeoinf.EuclideanSpace method) (pygeoinf.hilbert_space.DualHilbertSpace method) (pygeoinf.hilbert_space.EuclideanSpace method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method) (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method)

to_dual() (pygeoinf.direct_sum.HilbertSpaceDirectSum method) (pygeoinf.DualHilbertSpace method) (pygeoinf.EuclideanSpace method) (pygeoinf.hilbert_space.DualHilbertSpace method) (pygeoinf.hilbert_space.EuclideanSpace method) (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.hilbert_space.MassWeightedHilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.HilbertSpaceDirectSum method) (pygeoinf.MassWeightedHilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) to_hyperplanes() (pygeoinf.AffineSubspace method) (pygeoinf.subspaces.AffineSubspace method) to_interpolator() (pygeoinf.data_assimilation.core.ProbabilityGrid method) (pygeoinf.data_assimilation.ProbabilityGrid method) torus_space (pygeoinf.symmetric_space.plane.Lebesgue property) (pygeoinf.symmetric_space.plane.Sobolev property) total_mass (pygeoinf.data_assimilation.core.ProbabilityGrid property) (pygeoinf.data_assimilation.ProbabilityGrid property) trace (pygeoinf.symmetric_space.InvariantLinearAutomorphism property) (pygeoinf.symmetric_space.symmetric_space.InvariantLinearAutomorphism property) transformed_eigenvalues (pygeoinf.spectral_operator.SpectralFractionalOperator property) translate() (pygeoinf.convex_analysis.SupportFunction method) (pygeoinf.SupportFunction method) translation (pygeoinf.AffineSubspace property) (pygeoinf.subspaces.AffineSubspace property) translation_part (pygeoinf.affine_operators.AffineOperator property) (pygeoinf.AffineOperator property) two_point_covariance() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method)

U

u_factor (pygeoinf.low_rank.LowRankEig property) (pygeoinf.low_rank.LowRankSVD property) (pygeoinf.LowRankEig property) (pygeoinf.LowRankSVD property) (pygeoinf.spectral_operator.SpectralFractionalOperator property) underlying_space (pygeoinf.DualHilbertSpace property) (pygeoinf.hilbert_space.DualHilbertSpace property) (pygeoinf.hilbert_space.MassWeightedHilbertSpace property) (pygeoinf.MassWeightedHilbertSpace property)

Union (class in pygeoinf) (class in pygeoinf.subsets) union() (pygeoinf.Subset method) (pygeoinf.subsets.Subset method) UniversalSet (class in pygeoinf) (class in pygeoinf.subsets) upper_bound() (pygeoinf.convex_optimisation.Bundle method)

V

v (pygeoinf.convex_optimisation.ChambollePockResult attribute), [1] v_factor (pygeoinf.low_rank.LowRankSVD property) (pygeoinf.LowRankSVD property) value_and_subgradient() (pygeoinf.backus_gilbert.DualMasterCostFunction method) (pygeoinf.DualMasterCostFunction method) value_and_support_point() (pygeoinf.BallSupportFunction method) (pygeoinf.convex_analysis.BallSupportFunction method) (pygeoinf.convex_analysis.EllipsoidSupportFunction method) (pygeoinf.convex_analysis.SupportFunction method) (pygeoinf.EllipsoidSupportFunction method) (pygeoinf.SupportFunction method) vector_multiply() (pygeoinf.hilbert_space.HilbertModule method) (pygeoinf.hilbert_space.MassWeightedHilbertModule method) (pygeoinf.HilbertModule method) (pygeoinf.MassWeightedHilbertModule method) (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.torus.Lebesgue method)

vector_sqrt() (pygeoinf.hilbert_space.HilbertModule method) (pygeoinf.hilbert_space.MassWeightedHilbertModule method) (pygeoinf.HilbertModule method) (pygeoinf.MassWeightedHilbertModule method) (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.torus.Lebesgue method)

W

wavevector_indices() (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) weakened_ellipsoid() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) weighted_chi2_cdf() (in module pygeoinf.quadratic_form_quantile) weighted_chi2_quantile() (in module pygeoinf.quadratic_form_quantile) white_noise_measure() (in module pygeoinf) (in module pygeoinf.low_rank) with_constraint_value() (pygeoinf.AffineSubspace method) (pygeoinf.subspaces.AffineSubspace method) with_degree() (pygeoinf.symmetric_space.circle.Lebesgue method) (pygeoinf.symmetric_space.circle.Sobolev method) (pygeoinf.symmetric_space.line.Lebesgue method) (pygeoinf.symmetric_space.line.Sobolev method) (pygeoinf.symmetric_space.plane.Lebesgue method) (pygeoinf.symmetric_space.plane.Sobolev method) (pygeoinf.symmetric_space.sphere.Lebesgue method) (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.torus.Lebesgue method) (pygeoinf.symmetric_space.torus.Sobolev method) with_dense_covariance() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) with_dense_matrix() (pygeoinf.linear_operators.LinearOperator method) (pygeoinf.LinearOperator method) with_formalism() (pygeoinf.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.ConstrainedLinearMinimumNormInversion method) (pygeoinf.inversion.LinearInversion method) (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearLeastSquaresInversion method) (pygeoinf.linear_optimisation.ConstrainedLinearMinimumNormInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.linear_optimisation.LinearMinimumNormInversion method) (pygeoinf.LinearBayesianInversion method) (pygeoinf.LinearLeastSquaresInversion method) (pygeoinf.LinearMinimumNormInversion method)

with_order() (pygeoinf.symmetric_space.circle.Sobolev method) (pygeoinf.symmetric_space.line.Sobolev method) (pygeoinf.symmetric_space.plane.Sobolev method) (pygeoinf.symmetric_space.sphere.Sobolev method) (pygeoinf.symmetric_space.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.SymmetricSobolevSpace method) (pygeoinf.symmetric_space.torus.Sobolev method) with_regularized_inverse() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) with_sparse_approximation() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) with_translation() (pygeoinf.AffineSubspace method) (pygeoinf.subspaces.AffineSubspace method) woodbury_data_preconditioner() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearBayesianInversion method) (pygeoinf.LinearLeastSquaresInversion method) woodbury_model_preconditioner() (pygeoinf.linear_bayesian.LinearBayesianInversion method) (pygeoinf.linear_optimisation.LinearLeastSquaresInversion method) (pygeoinf.LinearBayesianInversion method) (pygeoinf.LinearLeastSquaresInversion method) wrap_angle() (in module pygeoinf.data_assimilation) (in module pygeoinf.data_assimilation.core)

X

x (pygeoinf.convex_optimisation.Cut attribute), [1] (pygeoinf.convex_optimisation.QPResult attribute), [1]

x_best (pygeoinf.convex_optimisation.BundleResult attribute), [1] (pygeoinf.convex_optimisation.SubgradientResult attribute), [1] x_final (pygeoinf.convex_optimisation.SubgradientResult attribute), [1]

Z

zero (pygeoinf.direct_sum.HilbertSpaceDirectSum property) (pygeoinf.hilbert_space.HilbertSpace property) (pygeoinf.hilbert_space.MassWeightedHilbertSpace property) (pygeoinf.HilbertSpace property) (pygeoinf.HilbertSpaceDirectSum property) (pygeoinf.MassWeightedHilbertSpace property) (pygeoinf.symmetric_space.torus.Lebesgue property)

zero_expectation() (pygeoinf.gaussian_measure.GaussianMeasure method) (pygeoinf.GaussianMeasure method) (pygeoinf.symmetric_space.InvariantGaussianMeasure method) (pygeoinf.symmetric_space.symmetric_space.InvariantGaussianMeasure method) zero_operator() (pygeoinf.hilbert_space.HilbertSpace method) (pygeoinf.HilbertSpace method) (pygeoinf.symmetric_space.symmetric_space.SymmetricHilbertSpace method) (pygeoinf.symmetric_space.SymmetricHilbertSpace method)