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Codimension computations of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils using MatlabPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2013 (English)Report (Other academic)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Umeå: Umeå Universitet , 2013. , 41 p.
##### Series

Report / UMINF, ISSN 0348-0542 ; 13.18
##### Keyword [en]

Congruence; *congruence; Symmetric matrix pencils; Skew-symmetric matrix pencils; Orbits; Codimension; MATLAB
##### National Category

Computer Science Computational Mathematics
##### Research subject

Numerical Analysis; Computer Science
##### Identifiers

URN: urn:nbn:se:umu:diva-80524OAI: oai:DiVA.org:umu-80524DiVA: diva2:650027
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt388",{id:"formSmash:j_idt388",widgetVar:"widget_formSmash_j_idt388",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt394",{id:"formSmash:j_idt394",widgetVar:"widget_formSmash_j_idt394",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt400",{id:"formSmash:j_idt400",widgetVar:"widget_formSmash_j_idt400",multiple:true});
Available from: 2013-09-19 Created: 2013-09-19 Last updated: 2015-11-19Bibliographically approved
##### In thesis

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.

1. Skew-symmetric matrix pencils: stratification theory and tools$(function(){PrimeFaces.cw("OverlayPanel","overlay709589",{id:"formSmash:j_idt670:0:j_idt674",widgetVar:"overlay709589",target:"formSmash:j_idt670:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

2. Tools for Structured Matrix Computations: Stratifications and Coupled Sylvester Equations$(function(){PrimeFaces.cw("OverlayPanel","overlay872408",{id:"formSmash:j_idt670:1:j_idt674",widgetVar:"overlay872408",target:"formSmash:j_idt670:1:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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