Index

A

apply() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank.LowRankLinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method) (resolvent4py.linear_operators.product.ProductLinearOperator method) (resolvent4py.linear_operators.projection.ProjectionLinearOperator method) apply_hermitian_transpose() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank.LowRankLinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method) (resolvent4py.linear_operators.product.ProductLinearOperator method) (resolvent4py.linear_operators.projection.ProjectionLinearOperator method) apply_hermitian_transpose_mat() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank.LowRankLinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method) (resolvent4py.linear_operators.product.ProductLinearOperator method) (resolvent4py.linear_operators.projection.ProjectionLinearOperator method)

apply_mat() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank.LowRankLinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method) (resolvent4py.linear_operators.product.ProductLinearOperator method) (resolvent4py.linear_operators.projection.ProjectionLinearOperator method) arnoldi_iteration() (in module resolvent4py.linalg.eigendecomposition) assemble_harmonic_resolvent_generator() (in module resolvent4py.utils.matrix) assemble_reduced_order_tensors() (in module resolvent4py.model_reduction.balanced_truncation)

B

bv_add() (in module resolvent4py.utils.bv) bv_conj() (in module resolvent4py.utils.bv)

bv_imag() (in module resolvent4py.utils.bv) bv_real() (in module resolvent4py.utils.bv)

C

check_complex_conjugacy() (in module resolvent4py.utils.vector) check_eig_convergence() (in module resolvent4py.linalg.eigendecomposition) check_gmres_bjacobi_solver() (in module resolvent4py.utils.ksp) check_if_complex_conjugate_structure() (resolvent4py.linear_operators.linear_operator.LinearOperator method) check_if_real_valued() (resolvent4py.linear_operators.linear_operator.LinearOperator method) check_lu_factorization() (in module resolvent4py.utils.ksp) check_randomized_svd_convergence() (in module resolvent4py.linalg.randomized_svd) compute_balanced_projection() (in module resolvent4py.model_reduction.balanced_truncation) compute_gramian_factors() (in module resolvent4py.model_reduction.balanced_truncation) compute_local_size() (in module resolvent4py.utils.comms) compute_woodbury_operator() (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) convert_coo_to_csr() (in module resolvent4py.utils.matrix)

create_AIJ_identity() (in module resolvent4py.utils.matrix) create_dense_matrix() (in module resolvent4py.utils.matrix) create_gmres_bjacobi_solver() (in module resolvent4py.utils.ksp) create_intermediate_bv() (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) create_intermediate_bv_hermitian_transpose() (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) create_intermediate_bvs() (resolvent4py.linear_operators.product.ProductLinearOperator method) create_intermediate_bvs_hermitian_transpose() (resolvent4py.linear_operators.product.ProductLinearOperator method) create_left_bv() (resolvent4py.linear_operators.linear_operator.LinearOperator method) create_left_vector() (resolvent4py.linear_operators.linear_operator.LinearOperator method) create_mumps_solver() (in module resolvent4py.utils.ksp) create_right_bv() (resolvent4py.linear_operators.linear_operator.LinearOperator method) create_right_vector() (resolvent4py.linear_operators.linear_operator.LinearOperator method)

D

destroy() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank.LowRankLinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method) (resolvent4py.linear_operators.product.ProductLinearOperator method) (resolvent4py.linear_operators.projection.ProjectionLinearOperator method)

distributed_to_sequential_matrix() (in module resolvent4py.utils.comms) distributed_to_sequential_vector() (in module resolvent4py.utils.comms)

E

eig() (in module resolvent4py.linalg.eigendecomposition)

enforce_complex_conjugacy() (in module resolvent4py.utils.vector)

G

generate_random_petsc_sparse_matrix() (in module resolvent4py.utils.random) generate_random_petsc_vector() (in module resolvent4py.utils.random) get_block_cc_flag() (resolvent4py.linear_operators.linear_operator.LinearOperator method) get_comm() (resolvent4py.linear_operators.linear_operator.LinearOperator method) get_dimensions() (resolvent4py.linear_operators.linear_operator.LinearOperator method)

get_memory_usage() (in module resolvent4py.utils.miscellaneous) get_mpi_type() (in module resolvent4py.utils.miscellaneous) get_name() (resolvent4py.linear_operators.linear_operator.LinearOperator method) get_nblocks() (resolvent4py.linear_operators.linear_operator.LinearOperator method) get_real_flag() (resolvent4py.linear_operators.linear_operator.LinearOperator method)

H

hermitian_transpose() (in module resolvent4py.utils.matrix)

L

LinearOperator (class in resolvent4py.linear_operators.linear_operator)

LowRankLinearOperator (class in resolvent4py.linear_operators.low_rank) LowRankUpdatedLinearOperator (class in resolvent4py.linear_operators.low_rank_updated)

M

mat_solve_hermitian_transpose() (in module resolvent4py.utils.matrix) match_right_and_left_eigenvectors() (in module resolvent4py.linalg.eigendecomposition) MatrixLinearOperator (class in resolvent4py.linear_operators.matrix) module resolvent4py.linalg.eigendecomposition resolvent4py.linalg.randomized_svd resolvent4py.linalg.resolvent_analysis_time_stepping resolvent4py.linear_operators.linear_operator resolvent4py.linear_operators.low_rank resolvent4py.linear_operators.low_rank_updated resolvent4py.linear_operators.matrix resolvent4py.linear_operators.product resolvent4py.linear_operators.projection resolvent4py.model_reduction.balanced_truncation resolvent4py.utils.bv resolvent4py.utils.comms resolvent4py.utils.io resolvent4py.utils.ksp resolvent4py.utils.matrix resolvent4py.utils.miscellaneous resolvent4py.utils.random resolvent4py.utils.vector

P

petscprint() (in module resolvent4py.utils.miscellaneous)

ProductLinearOperator (class in resolvent4py.linear_operators.product) ProjectionLinearOperator (class in resolvent4py.linear_operators.projection)

R

randomized_svd() (in module resolvent4py.linalg.randomized_svd) read_bv() (in module resolvent4py.utils.io) read_coo_matrix() (in module resolvent4py.utils.io) read_dense_matrix() (in module resolvent4py.utils.io) read_harmonic_balanced_bv() (in module resolvent4py.utils.io) read_harmonic_balanced_matrix() (in module resolvent4py.utils.io) read_harmonic_balanced_vector() (in module resolvent4py.utils.io) read_vector() (in module resolvent4py.utils.io) resolvent4py.linalg.eigendecomposition module resolvent4py.linalg.randomized_svd module resolvent4py.linalg.resolvent_analysis_time_stepping module resolvent4py.linear_operators.linear_operator module resolvent4py.linear_operators.low_rank module resolvent4py.linear_operators.low_rank_updated module resolvent4py.linear_operators.matrix module

resolvent4py.linear_operators.product module resolvent4py.linear_operators.projection module resolvent4py.model_reduction.balanced_truncation module resolvent4py.utils.bv module resolvent4py.utils.comms module resolvent4py.utils.io module resolvent4py.utils.ksp module resolvent4py.utils.matrix module resolvent4py.utils.miscellaneous module resolvent4py.utils.random module resolvent4py.utils.vector module resolvent_analysis_rsvd_dt() (in module resolvent4py.linalg.resolvent_analysis_time_stepping)

S

scatter_array_from_root_to_all() (in module resolvent4py.utils.comms) sequential_to_distributed_matrix() (in module resolvent4py.utils.comms) sequential_to_distributed_vector() (in module resolvent4py.utils.comms) solve() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method) solve_hermitian_transpose() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method)

solve_hermitian_transpose_mat() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method) solve_mat() (resolvent4py.linear_operators.linear_operator.LinearOperator method) (resolvent4py.linear_operators.low_rank_updated.LowRankUpdatedLinearOperator method) (resolvent4py.linear_operators.matrix.MatrixLinearOperator method)

V

vec_imag() (in module resolvent4py.utils.vector)

vec_real() (in module resolvent4py.utils.vector)

W

write_to_file() (in module resolvent4py.utils.io)