Index

A

AdaptiveLineSearcher (class in pymanopt.optimizers.line_search)

autograd() (in module pymanopt.function)

B

backend_decorator_factory() (in module pymanopt.autodiff)

BackTrackingLineSearcher (class in pymanopt.optimizers.line_search)

C

check_directional_derivative() (in module pymanopt.tools.diagnostics) check_gradient() (in module pymanopt.tools.diagnostics) check_hessian() (in module pymanopt.tools.diagnostics) check_retraction() (in module pymanopt.tools.diagnostics) ComplexCircle (class in pymanopt.manifolds.complex_circle) ComplexEuclidean (class in pymanopt.manifolds.euclidean)

ComplexGrassmann (class in pymanopt.manifolds.grassmann) compute_centroid() (in module pymanopt.optimizers.nelder_mead) conformal_factor() (pymanopt.manifolds.hyperbolic.PoincareBall method) ConjugateGradient (class in pymanopt.optimizers.conjugate_gradient) cost (pymanopt.core.problem.Problem property) (pymanopt.optimizers.optimizer.OptimizerResult attribute) cost_evaluations (pymanopt.optimizers.optimizer.OptimizerResult attribute)

D

dim (pymanopt.manifolds.complex_circle.ComplexCircle property) (pymanopt.manifolds.euclidean.ComplexEuclidean property) (pymanopt.manifolds.euclidean.Euclidean property) (pymanopt.manifolds.euclidean.SkewSymmetric property) (pymanopt.manifolds.euclidean.Symmetric property) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded property) (pymanopt.manifolds.grassmann.ComplexGrassmann property) (pymanopt.manifolds.grassmann.Grassmann property) (pymanopt.manifolds.group.SpecialOrthogonalGroup property) (pymanopt.manifolds.group.UnitaryGroup property) (pymanopt.manifolds.hyperbolic.PoincareBall property) (pymanopt.manifolds.manifold.Manifold property) (pymanopt.manifolds.manifold.RiemannianSubmanifold property) (pymanopt.manifolds.oblique.Oblique property) (pymanopt.manifolds.positive.Positive property) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite property) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite property) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite property) (pymanopt.manifolds.product.Product property) (pymanopt.manifolds.psd.Elliptope property) (pymanopt.manifolds.psd.PSDFixedRank property) (pymanopt.manifolds.psd.PSDFixedRankComplex property) (pymanopt.manifolds.sphere.Sphere property) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection property) (pymanopt.manifolds.sphere.SphereSubspaceIntersection property) (pymanopt.manifolds.stiefel.Stiefel property)

dist() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

E

Elliptope (class in pymanopt.manifolds.psd) embedding() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method) Euclidean (class in pymanopt.manifolds.euclidean) euclidean_gradient (pymanopt.core.problem.Problem property) euclidean_hessian (pymanopt.core.problem.Problem property) euclidean_to_riemannian_gradient() (in module pymanopt.tools.testing) (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

euclidean_to_riemannian_hessian() (in module pymanopt.tools.testing) (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method) EXCEEDED_TR (pymanopt.optimizers.trust_regions.TrustRegions attribute) exp() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RetrAsExpMixin method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

F

FixedRankEmbedded (class in pymanopt.manifolds.fixed_rank)

Function (class in pymanopt.autodiff)

G

get_gradient_operator() (pymanopt.autodiff.Function method) get_hessian_operator() (pymanopt.autodiff.Function method)

gradient_norm (pymanopt.optimizers.optimizer.OptimizerResult attribute) Grassmann (class in pymanopt.manifolds.grassmann)

H

HermitianPositiveDefinite (class in pymanopt.manifolds.positive_definite)

I

identify_linear_piece() (in module pymanopt.tools.diagnostics) inner_product() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

iterations (pymanopt.optimizers.optimizer.OptimizerResult attribute)

J

jax() (in module pymanopt.function)

L

log (pymanopt.optimizers.optimizer.OptimizerResult attribute) log() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

M

Manifold (class in pymanopt.manifolds.manifold) MAX_INNER_ITER (pymanopt.optimizers.trust_regions.TrustRegions attribute) mobius_addition() (pymanopt.manifolds.hyperbolic.PoincareBall method) MODEL_INCREASED (pymanopt.optimizers.trust_regions.TrustRegions attribute) module pymanopt.autodiff pymanopt.core.problem pymanopt.function pymanopt.manifolds.complex_circle pymanopt.manifolds.euclidean pymanopt.manifolds.fixed_rank pymanopt.manifolds.grassmann pymanopt.manifolds.group pymanopt.manifolds.hyperbolic pymanopt.manifolds.manifold pymanopt.manifolds.oblique pymanopt.manifolds.positive pymanopt.manifolds.positive_definite pymanopt.manifolds.product pymanopt.manifolds.psd pymanopt.manifolds.sphere pymanopt.manifolds.stiefel pymanopt.optimizers.conjugate_gradient pymanopt.optimizers.line_search pymanopt.optimizers.nelder_mead pymanopt.optimizers.optimizer pymanopt.optimizers.particle_swarm pymanopt.optimizers.steepest_descent pymanopt.optimizers.trust_regions pymanopt.tools.diagnostics pymanopt.tools.multi pymanopt.tools.testing

multiexpm() (in module pymanopt.tools.multi) multieye() (in module pymanopt.tools.multi) multihconj() (in module pymanopt.tools.multi) multiherm() (in module pymanopt.tools.multi) multilogm() (in module pymanopt.tools.multi) multiqr() (in module pymanopt.tools.multi) multiskew() (in module pymanopt.tools.multi) multiskewh() (in module pymanopt.tools.multi) multisym() (in module pymanopt.tools.multi) multitransp() (in module pymanopt.tools.multi)

N

NEGATIVE_CURVATURE (pymanopt.optimizers.trust_regions.TrustRegions attribute) NelderMead (class in pymanopt.optimizers.nelder_mead) norm() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

num_values (pymanopt.manifolds.complex_circle.ComplexCircle property) (pymanopt.manifolds.euclidean.ComplexEuclidean property) (pymanopt.manifolds.euclidean.Euclidean property) (pymanopt.manifolds.euclidean.SkewSymmetric property) (pymanopt.manifolds.euclidean.Symmetric property) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded property) (pymanopt.manifolds.grassmann.ComplexGrassmann property) (pymanopt.manifolds.grassmann.Grassmann property) (pymanopt.manifolds.group.SpecialOrthogonalGroup property) (pymanopt.manifolds.group.UnitaryGroup property) (pymanopt.manifolds.hyperbolic.PoincareBall property) (pymanopt.manifolds.manifold.Manifold property) (pymanopt.manifolds.manifold.RiemannianSubmanifold property) (pymanopt.manifolds.oblique.Oblique property) (pymanopt.manifolds.positive.Positive property) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite property) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite property) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite property) (pymanopt.manifolds.product.Product property) (pymanopt.manifolds.psd.Elliptope property) (pymanopt.manifolds.psd.PSDFixedRank property) (pymanopt.manifolds.psd.PSDFixedRankComplex property) (pymanopt.manifolds.sphere.Sphere property) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection property) (pymanopt.manifolds.sphere.SphereSubspaceIntersection property) (pymanopt.manifolds.stiefel.Stiefel property) numpy() (in module pymanopt.function)

O

Oblique (class in pymanopt.manifolds.oblique)

Optimizer (class in pymanopt.optimizers.optimizer) OptimizerResult (class in pymanopt.optimizers.optimizer)

P

pair_mean() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method) ParticleSwarm (class in pymanopt.optimizers.particle_swarm) PoincareBall (class in pymanopt.manifolds.hyperbolic) point (pymanopt.optimizers.optimizer.OptimizerResult attribute) point_layout (pymanopt.manifolds.complex_circle.ComplexCircle property) (pymanopt.manifolds.euclidean.ComplexEuclidean property) (pymanopt.manifolds.euclidean.Euclidean property) (pymanopt.manifolds.euclidean.SkewSymmetric property) (pymanopt.manifolds.euclidean.Symmetric property) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded property) (pymanopt.manifolds.grassmann.ComplexGrassmann property) (pymanopt.manifolds.grassmann.Grassmann property) (pymanopt.manifolds.group.SpecialOrthogonalGroup property) (pymanopt.manifolds.group.UnitaryGroup property) (pymanopt.manifolds.hyperbolic.PoincareBall property) (pymanopt.manifolds.manifold.Manifold property) (pymanopt.manifolds.manifold.RiemannianSubmanifold property) (pymanopt.manifolds.oblique.Oblique property) (pymanopt.manifolds.positive.Positive property) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite property) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite property) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite property) (pymanopt.manifolds.product.Product property) (pymanopt.manifolds.psd.Elliptope property) (pymanopt.manifolds.psd.PSDFixedRank property) (pymanopt.manifolds.psd.PSDFixedRankComplex property) (pymanopt.manifolds.sphere.Sphere property) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection property) (pymanopt.manifolds.sphere.SphereSubspaceIntersection property) (pymanopt.manifolds.stiefel.Stiefel property) Positive (class in pymanopt.manifolds.positive) Problem (class in pymanopt.core.problem) Product (class in pymanopt.manifolds.product) projection() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

PSDFixedRank (class in pymanopt.manifolds.psd) PSDFixedRankComplex (class in pymanopt.manifolds.psd) pymanopt.autodiff module pymanopt.core.problem module pymanopt.function module pymanopt.manifolds.complex_circle module pymanopt.manifolds.euclidean module pymanopt.manifolds.fixed_rank module pymanopt.manifolds.grassmann module pymanopt.manifolds.group module pymanopt.manifolds.hyperbolic module pymanopt.manifolds.manifold module pymanopt.manifolds.oblique module pymanopt.manifolds.positive module pymanopt.manifolds.positive_definite module pymanopt.manifolds.product module pymanopt.manifolds.psd module pymanopt.manifolds.sphere module pymanopt.manifolds.stiefel module pymanopt.optimizers.conjugate_gradient module pymanopt.optimizers.line_search module pymanopt.optimizers.nelder_mead module pymanopt.optimizers.optimizer module pymanopt.optimizers.particle_swarm module pymanopt.optimizers.steepest_descent module pymanopt.optimizers.trust_regions module pymanopt.tools.diagnostics module pymanopt.tools.multi module pymanopt.tools.testing module pytorch() (in module pymanopt.function)

R

raise_not_implemented_error() (in module pymanopt.manifolds.manifold) random_point() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method) random_tangent_vector() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

REACHED_TARGET_LINEAR (pymanopt.optimizers.trust_regions.TrustRegions attribute) REACHED_TARGET_SUPERLINEAR (pymanopt.optimizers.trust_regions.TrustRegions attribute) retraction() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method) RetrAsExpMixin (class in pymanopt.manifolds.manifold) riemannian_gradient (pymanopt.core.problem.Problem property) riemannian_gradient() (in module pymanopt.tools.testing) riemannian_hessian (pymanopt.core.problem.Problem property) RiemannianSubmanifold (class in pymanopt.manifolds.manifold) run() (pymanopt.optimizers.conjugate_gradient.ConjugateGradient method) (pymanopt.optimizers.nelder_mead.NelderMead method) (pymanopt.optimizers.optimizer.Optimizer method) (pymanopt.optimizers.particle_swarm.ParticleSwarm method) (pymanopt.optimizers.steepest_descent.SteepestDescent method) (pymanopt.optimizers.trust_regions.TrustRegions method)

S

search() (pymanopt.optimizers.line_search.AdaptiveLineSearcher method) (pymanopt.optimizers.line_search.BackTrackingLineSearcher method) SkewSymmetric (class in pymanopt.manifolds.euclidean) SpecialHermitianPositiveDefinite (class in pymanopt.manifolds.positive_definite) SpecialOrthogonalGroup (class in pymanopt.manifolds.group) Sphere (class in pymanopt.manifolds.sphere) SphereSubspaceComplementIntersection (class in pymanopt.manifolds.sphere)

SphereSubspaceIntersection (class in pymanopt.manifolds.sphere) SteepestDescent (class in pymanopt.optimizers.steepest_descent) step_size (pymanopt.optimizers.optimizer.OptimizerResult attribute) Stiefel (class in pymanopt.manifolds.stiefel) stopping_criterion (pymanopt.optimizers.optimizer.OptimizerResult attribute) Symmetric (class in pymanopt.manifolds.euclidean) SymmetricPositiveDefinite (class in pymanopt.manifolds.positive_definite)

T

TCG_STOP_REASONS (pymanopt.optimizers.trust_regions.TrustRegions attribute) tensorflow() (in module pymanopt.function) time (pymanopt.optimizers.optimizer.OptimizerResult attribute) to_tangent_space() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method) transport() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

TrustRegions (class in pymanopt.optimizers.trust_regions) typical_dist (pymanopt.manifolds.complex_circle.ComplexCircle property) (pymanopt.manifolds.euclidean.ComplexEuclidean property) (pymanopt.manifolds.euclidean.Euclidean property) (pymanopt.manifolds.euclidean.SkewSymmetric property) (pymanopt.manifolds.euclidean.Symmetric property) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded property) (pymanopt.manifolds.grassmann.ComplexGrassmann property) (pymanopt.manifolds.grassmann.Grassmann property) (pymanopt.manifolds.group.SpecialOrthogonalGroup property) (pymanopt.manifolds.group.UnitaryGroup property) (pymanopt.manifolds.hyperbolic.PoincareBall property) (pymanopt.manifolds.manifold.Manifold property) (pymanopt.manifolds.manifold.RiemannianSubmanifold property) (pymanopt.manifolds.oblique.Oblique property) (pymanopt.manifolds.positive.Positive property) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite property) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite property) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite property) (pymanopt.manifolds.product.Product property) (pymanopt.manifolds.psd.Elliptope property) (pymanopt.manifolds.psd.PSDFixedRank property) (pymanopt.manifolds.psd.PSDFixedRankComplex property) (pymanopt.manifolds.sphere.Sphere property) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection property) (pymanopt.manifolds.sphere.SphereSubspaceIntersection property) (pymanopt.manifolds.stiefel.Stiefel property)

U

UnitaryGroup (class in pymanopt.manifolds.group)

W

weingarten() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)

Z

zero_vector() (pymanopt.manifolds.complex_circle.ComplexCircle method) (pymanopt.manifolds.euclidean.ComplexEuclidean method) (pymanopt.manifolds.euclidean.Euclidean method) (pymanopt.manifolds.euclidean.SkewSymmetric method) (pymanopt.manifolds.euclidean.Symmetric method) (pymanopt.manifolds.fixed_rank.FixedRankEmbedded method) (pymanopt.manifolds.grassmann.ComplexGrassmann method) (pymanopt.manifolds.grassmann.Grassmann method) (pymanopt.manifolds.group.SpecialOrthogonalGroup method) (pymanopt.manifolds.group.UnitaryGroup method) (pymanopt.manifolds.hyperbolic.PoincareBall method) (pymanopt.manifolds.manifold.Manifold method) (pymanopt.manifolds.manifold.RiemannianSubmanifold method) (pymanopt.manifolds.oblique.Oblique method) (pymanopt.manifolds.positive.Positive method) (pymanopt.manifolds.positive_definite.HermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SpecialHermitianPositiveDefinite method) (pymanopt.manifolds.positive_definite.SymmetricPositiveDefinite method) (pymanopt.manifolds.product.Product method) (pymanopt.manifolds.psd.Elliptope method) (pymanopt.manifolds.psd.PSDFixedRank method) (pymanopt.manifolds.psd.PSDFixedRankComplex method) (pymanopt.manifolds.sphere.Sphere method) (pymanopt.manifolds.sphere.SphereSubspaceComplementIntersection method) (pymanopt.manifolds.sphere.SphereSubspaceIntersection method) (pymanopt.manifolds.stiefel.Stiefel method)