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Orbit closure hierarchies of skew-symmetric matrix pencilsPrimeFaces.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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2014 (English)Report (Other academic)
##### Abstract [en]

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

Umeå: Umeå universitet , 2014. , p. 18
##### Series

UMINF, ISSN 0348-0542 ; 14.02
##### Keywords [en]

skew-symmetric matrix pencil, stratification, canonical structure information, orbits
##### National Category

Computer Sciences Computational Mathematics
##### Identifiers

URN: urn:nbn:se:umu:diva-87500OAI: oai:DiVA.org:umu-87500DiVA, id: diva2:709586
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt667",{id:"formSmash:j_idt667",widgetVar:"widget_formSmash_j_idt667",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt674",{id:"formSmash:j_idt674",widgetVar:"widget_formSmash_j_idt674",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt683",{id:"formSmash:j_idt683",widgetVar:"widget_formSmash_j_idt683",multiple:true}); Available from: 2014-04-02 Created: 2014-04-02 Last updated: 2018-06-08Bibliographically approved
##### In thesis

We study how small perturbations of a skew-symmetric matrix pencil may change its canonical form under congruence. This problem is also known as the stratification problem of skew-symmetric matrix pencil orbits and bundles. In other words, we investigate when the closure of the congruence orbit (or bundle) of a skew-symmetric matrix pencil contains the congruence orbit (or bundle) of another skew-symmetric matrix pencil. This theory relies on our main theorem stating that a skew-symmetric matrix pencil A-λB can be approximated by pencils strictly equivalent to a skew-symmetric matrix pencil C-λD if and only if A-λB can be approximated by pencils congruent to C-λD.

1. Skew-symmetric matrix pencils: stratification theory and tools$(function(){PrimeFaces.cw("OverlayPanel","overlay709589",{id:"formSmash:j_idt1096:0:j_idt1115",widgetVar:"overlay709589",target:"formSmash:j_idt1096:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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