oseledets/TT-Toolbox

MATLAB Toolbox for working with high-dimensional tensors in the Tensor-Train (TT)-format

TT-Toolbox (TT=Tensor Train) Version 2.2
TT(Tensor Train) format is an efficient way for low-parametric
representation of high-dimensional tensors. The TT-Toolbox
is a MATLAB implementation of basic operations with
tensors in TT-format. It includes:

* tt_tensor and tt_matrix classes for storing vectors and operators
* Basic linear algebra subroutines (addition, matrix-by-vector product,
elementwise multiplication and many others) using standard MATLAB syntax,
linear complexity in the dimension, reshape function
* Fast rounding procedure with a prescribed accuracy
* Advanced approximation and solution techniques:
* Approximate solution of linear systems and eigenvalue problems
* Cross methods to approximate ``black-box'' tensors
* Wavelet tensor train decomposition
* Construction of basic operators and functions (Laplace operator, function of a TT-tensor)
* Computation of maximal and minimal elements of a tensor
* and several others

New in Version 2.2
* Better documentation
* Mixed QTT-Tucker format (qtt_tucker class)
* reshape function for a TT-tensor/TT-matrix
* dmrg_cross method for black-box tensor approximation
* Convolution in QTT-format