Index

_

__call__() (trainsum.gmres.GMRES method) (trainsum.lanczos.Lanczos method) (trainsum.localeigsolver.LocalEigSolver method) (trainsum.locallinsolver.LocalLinSolver method) (trainsum.matrixeigenvaluedecomposition.MatrixEigenvalueDecomposition method) (trainsum.matrixleastsquares.MatrixLeastSquares method) (trainsum.trainsum.EigSolver method) (trainsum.trainsum.EinsumExpression method) (trainsum.trainsum.EvaluateExpression method) (trainsum.trainsum.LinSolver method)

A

add() (trainsum.trainsum.TrainSum method) array (trainsum.gmres.GMRESResult attribute) (trainsum.lanczos.LanczosResult attribute) (trainsum.localeigsolver.LocalEigSolverResult attribute) (trainsum.locallinsolver.LocalLinSolverResult attribute)

B

base (trainsum.digit.Digit attribute)

binary_train() (trainsum.trainsum.TrainSum method)

C

chunk_size (trainsum.options.EvaluationOptions attribute) conj() (trainsum.tensortrain.TensorTrain method) cores (trainsum.tensortrain.TensorTrain property)

cos() (trainsum.trainsum.TrainSum method) cross() (trainsum.trainsum.TrainSum method) CrossOptions (class in trainsum.options)

D

decomposition (trainsum.options.DecompositionOptions attribute) (trainsum.options.VariationalOptions attribute) (trainsum.trainsum.EigSolver property) (trainsum.trainsum.LinSolver property) decomposition() (trainsum.trainsum.TrainSum method) DecompositionOptions (class in trainsum.options) device (trainsum.tensortrain.TensorTrain property) Digit (class in trainsum.digit)

digits (trainsum.trainshape.TrainShape property) Dimension (class in trainsum.dimension) dimension() (trainsum.trainsum.TrainSum method) dims (trainsum.trainshape.TrainShape property) direction (trainsum.options.DecompositionOptions attribute) Domain (class in trainsum.domain) domain() (trainsum.trainsum.TrainSum method) dtype (trainsum.tensortrain.TensorTrain property) dwt() (trainsum.trainsum.TrainSum method)

E

EigSolver (class in trainsum.trainsum) eigsolver() (trainsum.trainsum.TrainSum method) einsum() (trainsum.trainsum.TrainSum method) einsum_expression() (trainsum.trainsum.TrainSum method) EinsumExpression (class in trainsum.trainsum) eps (trainsum.gmres.GMRES attribute) (trainsum.lanczos.Lanczos attribute) (trainsum.lanczos.LanczosResult attribute) (trainsum.options.CrossOptions attribute) (trainsum.trainsum.EigSolver property) (trainsum.trainsum.LinSolver property)

evaluate() (trainsum.trainsum.TrainSum method) evaluate_expression() (trainsum.trainsum.TrainSum method) EvaluateExpression (class in trainsum.trainsum) evaluation() (trainsum.trainsum.TrainSum method) EvaluationOptions (class in trainsum.options) exact() (trainsum.trainsum.TrainSum method) ExactOptions (class in trainsum.options) exp() (trainsum.trainsum.TrainSum method) extend() (trainsum.tensortrain.TensorTrain method)

F

factor (trainsum.digit.Digit attribute) factorize() (trainsum.linearintegerequation.LinearIntegerEquation method) (trainsum.moduleintegerequation.ModuloIntegerEquation method) (trainsum.rangeintegerequation.RangeIntegerEquation method)

full() (trainsum.trainsum.TrainSum method)

G

get_options() (trainsum.trainsum.TrainSum method) GMRES (class in trainsum.gmres)

gmres() (trainsum.trainsum.TrainSum method) GMRESResult (class in trainsum.gmres)

H

has_solution() (trainsum.linearintegerequation.LinearIntegerEquation method) (trainsum.moduleintegerequation.ModuloIntegerEquation method) (trainsum.rangeintegerequation.RangeIntegerEquation method)

I

idf (trainsum.digit.Digit attribute) (trainsum.dimension.Dimension attribute) idwt() (trainsum.trainsum.TrainSum method) idx (trainsum.digit.Digit attribute) index_type (trainsum.trainsum.TrainSum attribute)

inner() (trainsum.linearintegerequation.LinearIntegerEquation method) (trainsum.moduleintegerequation.ModuloIntegerEquation method) (trainsum.rangeintegerequation.RangeIntegerEquation method) iqft() (trainsum.trainsum.TrainSum method) iqftshift() (trainsum.trainsum.TrainSum method)

L

Lanczos (class in trainsum.lanczos) lanczos() (trainsum.trainsum.TrainSum method) LanczosResult (class in trainsum.lanczos) left (trainsum.matrixdecomposition.MatrixDecompositionResult attribute) (trainsum.svdecomposition.SVDecompositionResult attribute) left() (trainsum.qrdecomposition.QRDecomposition method) (trainsum.randomsvdecomposition.RandomSVDecomposition method) (trainsum.svdecomposition.SVDecomposition method) left_rank() (trainsum.trainshape.TrainShape method) left_shape() (trainsum.qrdecomposition.QRDecomposition method) (trainsum.randomsvdecomposition.RandomSVDecomposition method) (trainsum.svdecomposition.SVDecomposition method)

left_sweep() (trainsum.sweepingstrategy.SweepingStrategy method) linear_integer_equation() (trainsum.trainsum.TrainSum method) LinearIntegerEquation (class in trainsum.linearintegerequation) LinearMap (class in trainsum.trainsum) LinSolver (class in trainsum.trainsum) linsolver() (trainsum.trainsum.TrainSum method) LocalEigSolver (class in trainsum.localeigsolver) LocalEigSolverResult (class in trainsum.localeigsolver) LocalLinSolver (class in trainsum.locallinsolver) LocalLinSolverResult (class in trainsum.locallinsolver)

M

MatrixDecomposition (class in trainsum.matrixdecomposition) MatrixDecompositionResult (class in trainsum.matrixdecomposition) MatrixEigenvalueDecomposition (class in trainsum.matrixeigenvaluedecomposition) MatrixLeastSquares (class in trainsum.matrixleastsquares) max_idxs (trainsum.min_max.MinMaxResult attribute) max_val (trainsum.min_max.MinMaxResult attribute) middle() (trainsum.trainshape.TrainShape method)

min_idxs (trainsum.min_max.MinMaxResult attribute) min_max() (trainsum.trainsum.TrainSum method) min_val (trainsum.min_max.MinMaxResult attribute) MinMaxResult (class in trainsum.min_max) mode (trainsum.sweepingstrategy.SweepingStrategy attribute) modulo_integer_equation() (trainsum.trainsum.TrainSum method) ModuloIntegerEquation (class in trainsum.moduleintegerequation)

N

namespace (trainsum.trainsum.TrainSum attribute) ncores (trainsum.sweepingstrategy.SweepingStrategy attribute) normalize() (trainsum.tensortrain.TensorTrain method)

nsteps (trainsum.gmres.GMRES attribute) (trainsum.lanczos.Lanczos attribute) nsweeps (trainsum.sweepingstrategy.SweepingStrategy attribute)

O

optimizer (trainsum.options.DecompositionOptions attribute) (trainsum.options.EvaluationOptions attribute) (trainsum.options.ExactOptions attribute) (trainsum.options.VariationalOptions attribute)

outer() (trainsum.trainsum.TrainSum method)

P

permute_dims() (trainsum.tensortrain.TensorTrain method) (trainsum.trainshape.TrainShape method)

polyval() (trainsum.trainsum.TrainSum method)

Q

qft() (trainsum.trainsum.TrainSum method) qftfreq() (trainsum.trainsum.TrainSum method)

qftshift() (trainsum.trainsum.TrainSum method) QRDecomposition (class in trainsum.qrdecomposition) qrdecomposition() (trainsum.trainsum.TrainSum method)

R

rand_svdecomposition() (trainsum.trainsum.TrainSum method) RandomSVDecomposition (class in trainsum.randomsvdecomposition) range_integer_equation() (trainsum.trainsum.TrainSum method) RangeIntegerEquation (class in trainsum.rangeintegerequation) ranks (trainsum.trainshape.TrainShape property) read() (trainsum.trainsum.TrainSum method) residuals (trainsum.gmres.GMRESResult attribute) (trainsum.locallinsolver.LocalLinSolverResult attribute) reverse() (trainsum.tensortrain.TensorTrain method) (trainsum.trainshape.TrainShape method)

right (trainsum.matrixdecomposition.MatrixDecompositionResult attribute) (trainsum.svdecomposition.SVDecompositionResult attribute) right() (trainsum.qrdecomposition.QRDecomposition method) (trainsum.randomsvdecomposition.RandomSVDecomposition method) (trainsum.svdecomposition.SVDecomposition method) right_rank() (trainsum.trainshape.TrainShape method) right_shape() (trainsum.qrdecomposition.QRDecomposition method) (trainsum.randomsvdecomposition.RandomSVDecomposition method) (trainsum.svdecomposition.SVDecomposition method) right_sweep() (trainsum.sweepingstrategy.SweepingStrategy method)

S

set_options() (trainsum.trainsum.TrainSum method) shape (trainsum.tensortrain.TensorTrain property) shift() (trainsum.trainsum.TrainSum method) sin() (trainsum.trainsum.TrainSum method) singular_values (trainsum.svdecomposition.SVDecompositionResult attribute) size() (trainsum.dimension.Dimension method) slice_operator() (trainsum.trainsum.TrainSum method) slice_vector() (trainsum.trainsum.TrainSum method) solver (trainsum.gmres.GMRES attribute) (trainsum.lanczos.Lanczos attribute) (trainsum.options.CrossOptions attribute) (trainsum.trainsum.EigSolver property) (trainsum.trainsum.LinSolver property)

strategy (trainsum.options.CrossOptions attribute) (trainsum.options.DecompositionOptions attribute) (trainsum.options.VariationalOptions attribute) (trainsum.trainsum.EigSolver property) (trainsum.trainsum.LinSolver property) subspace (trainsum.gmres.GMRES attribute) (trainsum.lanczos.Lanczos attribute) SVDecomposition (class in trainsum.svdecomposition) svdecomposition() (trainsum.trainsum.TrainSum method) SVDecompositionResult (class in trainsum.svdecomposition) sweeping_strategy() (trainsum.trainsum.TrainSum method) SweepingStrategy (class in trainsum.sweepingstrategy)

T

tensor_shape() (trainsum.linearintegerequation.LinearIntegerEquation method) (trainsum.moduleintegerequation.ModuloIntegerEquation method) (trainsum.rangeintegerequation.RangeIntegerEquation method) TensorTrain (class in trainsum.tensortrain) tensortrain() (trainsum.trainsum.TrainSum method) time (trainsum.gmres.GMRESResult attribute) (trainsum.lanczos.LanczosResult attribute) to_coords() (trainsum.uniformgrid.UniformGrid method) to_digits() (trainsum.dimension.Dimension method) to_idxs() (trainsum.dimension.Dimension method) (trainsum.uniformgrid.UniformGrid method)

to_tensor() (trainsum.linearintegerequation.LinearIntegerEquation method) (trainsum.moduleintegerequation.ModuloIntegerEquation method) (trainsum.rangeintegerequation.RangeIntegerEquation method) (trainsum.tensortrain.TensorTrain method) toeplitz() (trainsum.trainsum.TrainSum method) TrainShape (class in trainsum.trainshape) trainshape() (trainsum.trainsum.TrainSum method) TrainSum (class in trainsum.trainsum) transform() (trainsum.tensortrain.TensorTrain method) truncate() (trainsum.tensortrain.TensorTrain method)

U

uniform_grid() (trainsum.trainsum.TrainSum method)

UniformGrid (class in trainsum.uniformgrid)

V

value (trainsum.lanczos.LanczosResult attribute) (trainsum.localeigsolver.LocalEigSolverResult attribute)

variational() (trainsum.trainsum.TrainSum method) VariationalOptions (class in trainsum.options)

W

write() (trainsum.trainsum.TrainSum method)