Software

geomCG: Tensor Completion by Riemannian Optimization

A MATLAB implementation of a tensor completion algorithm using Riemannian optimization techniques.

Authors: D. Kressner, M. Steinlechner, B. Vandereycken

Hierarchical Tucker Toolbox

A MATLAB Toolbox for the construction and manipulation of tensors in the Hierarchical Tucker format.

Authors: C. Tobler, D. Kressner

Structured Eig Tool

Structured Eigtool is a Matlab interface for plotting structured pseudospectra.

Authors: E. Kokiopoulou, D. Kressner

Subspace PSPA

This package contains the MATLAB code used in the paper “Subspace methods for computing the pseudospectral abscissa and the stability radius”.

Authors: B. VandereyckenD. Kressner

Subspace accelerated SCM

This package contains the MATLAB code used in the paper “Subspace acceleration to parametar-dependent eigenvalue problems“.

Authors: P. Sirkovic, D. Kressner

Software for Lyapunov matrix equations

Block variants of Hammarling’s method for solving continuous- and discrete-time Lyapunov equations.

Author: D. Kressner

TTeMPS Toolbox

A MATLAB Toolbox for the construction and manipulation of tensors in the Tensor Train (TT) / Matrix Product States (MPS) format.

Authors: M. Steinlechner

QR Update

To update a QR factorization of a matrix when additional rows are added to the matrix.

Author: D. Kressner

QR Algorithm

New implementation of LAPACK’s QR algorithm using optimally packed chains of bulges.

Authors: L. Karlsson, D. Kressner, B. Lang

Codimensions of Generalized Matrix Products

Python script for computing the codimension of a generalized matrix product in canonical form.

Authors: L. Karlsson

Nonlinear Jacobi-Davidson algorithm with deflation

A MATLAB implementation of a nonlinear Jacobi-Davidson-type algorithm with deflation.

Authors: C. Effenberger

Parallel QR Algorithm

Parallel library software for the multishift QR algorithm with aggressive early deflation.

Authors: R. Granat, B. Kågström, D. Kressner, M. Shao

Antitriangular factorization

Fortran implementation of a block algorithm for computing the antitriangular factorization of a symmetric matrix.

Authors: Z. Bujanovic and D. Kressner

Benchmark Problems on SAN in TT Format

Benchmark Problems on Stochastic Automata Networks in Tensor Train Format.

Author: F. Macedo

Miscellaneous