Index

_

__add__() (krypy.utils.LinearOperator method) __call__() (krypy.utils.NormalizedRootsPolynomial method) __enter__() (krypy.utils.Timer method) __exit__() (krypy.utils.Timer method) __mul__() (krypy.utils.LinearOperator method) __neg__() (krypy.utils.LinearOperator method) __new__() (krypy.utils.BoundMinres static method) __pow__() (krypy.utils.LinearOperator method) __repr__() (krypy.utils.LinearOperator method) (krypy.utils.MatrixLinearOperator method) (krypy.utils.Timer method) __rmul__() (krypy.utils.LinearOperator method) __sub__() (krypy.utils.LinearOperator method)

_apply_projection() (krypy.deflation._DeflationMixin method) (krypy.deflation.DeflatedCg method) _DeflationMixin (class in krypy.deflation) _DeflationVectorFactory (class in krypy.recycling.factories) _get_initial_residual() (krypy.deflation._DeflationMixin method) _get_xk() (krypy.deflation._DeflationMixin method) _KrylovSolver (class in krypy.linsys) _Projection (class in krypy.deflation) _RecyclingSolver (class in krypy.recycling.linsys) _RitzCandidateGenerator (class in krypy.recycling.generators) _solve() (krypy.deflation._DeflationMixin method)

A

adj (krypy.utils.LinearOperator attribute) advance() (krypy.utils.Arnoldi method) angles() (in module krypy.utils) apply() (krypy.utils.Givens method) (krypy.utils.House method) (krypy.utils.Projection method) apply_adj() (krypy.utils.Projection method) apply_complement() (krypy.utils.Projection method) apply_complement_adj() (krypy.utils.Projection method) ArgumentError

Arnoldi (class in krypy.utils) arnoldi() (in module krypy.utils) arnoldi_projected() (in module krypy.utils) arnoldi_res() (in module krypy.utils) Arnoldifyer (class in krypy.deflation) assert_arnoldi() (in module krypy.tests.test_utils) AssumptionError AU (krypy.deflation.ObliqueProjection attribute)

B

B_ (krypy.deflation._DeflationMixin attribute) bound_perturbed_gmres() (in module krypy.utils) bound_pseudo() (in module krypy.deflation)

BoundCG (class in krypy.utils) BoundMinres (class in krypy.utils)

C

C (krypy.deflation._DeflationMixin attribute) Cg (class in krypy.linsys) check_solver() (in module krypy.tests.test_linsys)

coeffs (krypy.deflation.Ritz attribute) ConvergenceError, [1] correct() (krypy.deflation.ObliqueProjection method)

D

DeflatedCg (class in krypy.deflation) DeflatedGmres (class in krypy.deflation) DeflatedMinres (class in krypy.deflation) dictpick() (in module krypy.tests.test_linsys)

dictproduct() (in module krypy.tests.test_linsys) dot() (krypy.utils.LinearOperator method) dot_adj() (krypy.utils.LinearOperator method)

E

E (krypy.deflation._DeflationMixin attribute) errnorms (krypy.linsys._KrylovSolver attribute)

eval_step() (krypy.utils.BoundCG method) (krypy.utils.BoundMinres method) evaluate() (krypy.recycling.evaluators.RitzEvaluator method)

G

gap() (in module krypy.utils) generate() (krypy.recycling.generators.SmallRitz method) get() (krypy.deflation.Arnoldifyer method) (krypy.recycling.factories.RitzFactory method) (krypy.recycling.factories.RitzFactorySimple method) (krypy.recycling.factories._DeflationVectorFactory method) (krypy.utils.Arnoldi method) get_explicit_residual() (krypy.deflation.Ritz method) get_explicit_resnorms() (krypy.deflation.Ritz method) get_ip_Bs() (in module krypy.tests.test_utils) get_ip_Minv_B() (krypy.linsys.LinearSystem method) get_last() (krypy.utils.Arnoldi method) get_linearoperator() (in module krypy.utils) get_matrices() (in module krypy.tests.test_utils) get_matrix_comp_nonsymm() (in module krypy.tests.test_utils) get_matrix_herm_indef() (in module krypy.tests.test_utils)

get_matrix_hpd() (in module krypy.tests.test_utils) get_matrix_nonsymm() (in module krypy.tests.test_utils) get_matrix_spd() (in module krypy.tests.test_utils) get_matrix_symm_indef() (in module krypy.tests.test_utils) get_operators() (in module krypy.tests.test_utils) get_residual() (krypy.linsys.LinearSystem method) get_step() (krypy.utils.BoundCG method) (krypy.utils.BoundMinres method) get_vecs() (in module krypy.tests.test_utils) get_vectors() (krypy.deflation.Ritz method) Givens (class in krypy.utils) Gmres (class in krypy.linsys)

H

hegedus() (in module krypy.utils)

House (class in krypy.utils)

I

IdentityLinearOperator (class in krypy.utils) inner() (in module krypy.utils) InnerProductError

ip_euclid() (in module krypy.utils) iter (krypy.linsys._KrylovSolver attribute)

K

krypy.deflation (module) krypy.linsys (module) krypy.recycling (module) krypy.recycling.evaluators (module) krypy.recycling.factories (module)

krypy.recycling.generators (module) krypy.tests.test_linsys (module) krypy.tests.test_utils (module) krypy.utils (module)

L

last_solver (krypy.recycling.linsys._RecyclingSolver attribute) last_timings (krypy.recycling.linsys._RecyclingSolver attribute) linear_systems_generator() (in module krypy.tests.test_linsys)

LinearOperator (class in krypy.utils) LinearOperatorError LinearSystem (class in krypy.linsys)

M

matrix() (krypy.utils.House method) (krypy.utils.Projection method) MatrixLinearOperator (class in krypy.utils) minmax_candidates() (krypy.utils.NormalizedRootsPolynomial method)

Minres (class in krypy.linsys) MMlb_norm (krypy.linsys.LinearSystem attribute)

N

N (krypy.linsys.LinearSystem attribute) norm() (in module krypy.utils) norm_MMlr() (in module krypy.utils)

norm_squared() (in module krypy.utils) NormalizedRootsPolynomial (class in krypy.utils)

O

ObliqueProjection (class in krypy.deflation) operations() (krypy.linsys._KrylovSolver static method) (krypy.linsys.Cg static method) (krypy.linsys.Gmres static method) (krypy.linsys.Minres static method) operator() (krypy.utils.Projection method)

operator_complement() (krypy.utils.Projection method) orthonormality() (in module krypy.utils)

P

Projection (class in krypy.utils)

projection (krypy.deflation._DeflationMixin attribute)

Q

qr() (in module krypy.utils)

R

RecyclingCg (class in krypy.recycling) RecyclingGmres (class in krypy.recycling) RecyclingMinres (class in krypy.recycling) resnorms (krypy.deflation.Ritz attribute) (krypy.linsys._KrylovSolver attribute) Ritz (class in krypy.deflation) ritz() (in module krypy.utils) RitzEvaluator (class in krypy.recycling.evaluators) RitzFactory (class in krypy.recycling.factories) RitzFactorySimple (class in krypy.recycling.factories) run_angles() (in module krypy.tests.test_utils)

run_arnoldi() (in module krypy.tests.test_utils) run_givens() (in module krypy.tests.test_utils) run_hegedus() (in module krypy.tests.test_utils) run_house() (in module krypy.tests.test_utils) run_NormalizedRootsPolynomial() (in module krypy.tests.test_utils) run_projection() (in module krypy.tests.test_utils) run_qr() (in module krypy.tests.test_utils) run_ritz() (in module krypy.tests.test_utils) run_solver() (in module krypy.tests.test_linsys)

S

shape_vec() (in module krypy.utils) shape_vecs() (in module krypy.utils) SmallRitz (class in krypy.recycling.generators)

solve() (krypy.recycling.linsys._RecyclingSolver method) solver_params_generator() (in module krypy.tests.test_linsys) strakos() (in module krypy.utils)

T

test_angles() (in module krypy.tests.test_utils) test_arnoldi() (in module krypy.tests.test_utils) test_BoundCG() (in module krypy.tests.test_utils) test_BoundMinres() (in module krypy.tests.test_utils) test_gap() (in module krypy.tests.test_utils) test_givens() (in module krypy.tests.test_utils) test_hegedus() (in module krypy.tests.test_utils) test_house() (in module krypy.tests.test_utils)

test_Interval() (in module krypy.tests.test_utils) test_LinearSystem() (in module krypy.tests.test_linsys) test_NormalizedRootsPolynomial() (in module krypy.tests.test_utils) test_projection() (in module krypy.tests.test_utils) test_qr() (in module krypy.tests.test_utils) test_ritz() (in module krypy.tests.test_utils) test_solver() (in module krypy.tests.test_linsys) Timer (class in krypy.utils)

U

U (krypy.deflation.ObliqueProjection attribute)

V

values (krypy.deflation.Ritz attribute)

X

xk (krypy.linsys._KrylovSolver attribute)