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Codimension computations of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils using Matlab
Department of Computing Science and HPC2N, Umeå. University, Umeå, Sweden.ORCID-id: 0000-0001-9110-6182
Department of Computing Science and HPC2N, Umeå. University, Umeå, Sweden.
Department of Computing Science and HPC2N, Umeå. University, Umeå, Sweden.
2013 (engelsk)Rapport (Annet vitenskapelig)
Abstract [en]

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.

sted, utgiver, år, opplag, sider
Umeå: Umeå Universitet , 2013. , s. 41
Serie
UMINF, ISSN 0348-0542 ; 13/18
Emneord [en]
Congruence; *congruence; Symmetric matrix pencils; Skew-symmetric matrix pencils; Orbits; Codimension; MATLAB
HSV kategori
Forskningsprogram
numerisk analys; datalogi
Identifikatorer
URN: urn:nbn:se:oru:diva-74890OAI: oai:DiVA.org:oru-74890DiVA, id: diva2:1332900
Tilgjengelig fra: 2019-06-28 Laget: 2019-06-28 Sist oppdatert: 2019-08-06bibliografisk kontrollert

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Codimension computations of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils using Matlab(1651 kB)14 nedlastinger
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