Codimension computations of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils using Matlab
Andrii Dmytryshyn, Stefan A. I. Johansson, Bo Kågström · KTH Publication Database DiVA (KTH Royal Institute of Technology) · 2013
Matlab functions to work with the canonical structures for congru-ence and *congruence of matrices, and for congruence of symmetricand skew-symmetric matrix pencils are presented. A user can providethe canonical structure objects or create (random) matrix examplesetups with a desired canonical information, and compute the codi-mensions of the corresponding orbits: if the structural information(the canonical form) of a matrix or a matrix pencil is known it isused for the codimension computations, otherwise they are computednumerically. Some auxiliary functions are provided too. All thesefunctions extend the Matrix Canonical Structure Toolbox.