Codimension computations of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils using Matlab
2013 (English)Report (Other academic)
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.
Place, publisher, year, edition, pages
Umeå: Umeå Universitet , 2013. , 41 p.
Report / UMINF, ISSN 0348-0542 ; 13.18
Congruence; *congruence; Symmetric matrix pencils; Skew-symmetric matrix pencils; Orbits; Codimension; MATLAB
Computer Science Computational Mathematics
Research subject Numerical Analysis; Computer Science
IdentifiersURN: urn:nbn:se:umu:diva-80524OAI: oai:DiVA.org:umu-80524DiVA: diva2:650027