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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)In: SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, E-ISSN 1095-7162, Vol. 35, no 4, p. 1429-1443Article in journal (Refereed) Published
##### Abstract [en]

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

2014. Vol. 35, no 4, p. 1429-1443
##### Keywords [en]

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

Computer Sciences
##### Identifiers

URN: urn:nbn:se:umu:diva-98914DOI: 10.1137/140956841ISI: 000346843200010OAI: oai:DiVA.org:umu-98914DiVA, id: diva2:784021
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##### Funder

eSSENCE - An eScience CollaborationSwedish Research Council, A0581501Available from: 2015-01-28 Created: 2015-01-28 Last updated: 2018-06-07Bibliographically 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. The developed theory relies on our main theorem stating that a skew-symmetric matrix pencil A - lambda B can be approximated by pencils strictly equivalent to a skew-symmetric matrix pencil C - lambda D if and only if A - lambda B can be approximated by pencils congruent to C - lambda D.

1. Tools for Structured Matrix Computations: Stratifications and Coupled Sylvester Equations$(function(){PrimeFaces.cw("OverlayPanel","overlay872408",{id:"formSmash:j_idt902:0:j_idt909",widgetVar:"overlay872408",target:"formSmash:j_idt902:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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