Index

_ | A | B | C | D | E | G | H | I | K | L | M | N | O | P | Q | R | S | T | U | V | X

_

__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)
__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)
_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)
estimate_time() (krypy.deflation._DeflationMixin method)
eval_step() (krypy.utils.BoundCG method)
(krypy.utils.BoundMinres method)
evaluate() (krypy.recycling.evaluators.RitzApproxKrylov method)
(krypy.recycling.evaluators.RitzApriori method)

G

gap() (in module krypy.utils)
generate() (krypy.recycling.generators.RitzExtremal method)
(krypy.recycling.generators.RitzSmall method)
get() (krypy.deflation.Arnoldifyer method)
(krypy.recycling.factories.RitzFactory method)
(krypy.recycling.factories.RitzFactorySimple method)
(krypy.recycling.factories.UnionFactory 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)
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)
MAU (krypy.deflation.ObliqueProjection attribute)
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)
RitzApproxKrylov (class in krypy.recycling.evaluators)
RitzApriori (class in krypy.recycling.evaluators)
RitzExtremal (class in krypy.recycling.generators)
RitzFactory (class in krypy.recycling.factories)
RitzFactorySimple (class in krypy.recycling.factories)
RitzSmall (class in krypy.recycling.generators)
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)
RuntimeError

S

shape_vec() (in module krypy.utils)
shape_vecs() (in module krypy.utils)
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)
timings (krypy.recycling.linsys._RecyclingSolver attribute)

U

U (krypy.deflation.ObliqueProjection attribute)
UnionFactory (class in krypy.recycling.factories)

V

values (krypy.deflation.Ritz attribute)

X

xk (krypy.linsys._KrylovSolver attribute)