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Skew-symmetric matrix pencils: codimension counts and the solution of a pair of matrix equations
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.
Institute of Mathematics, Kiev, Ukraine.
2013 (engelsk)Inngår i: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 438, nr 8, s. 3375-3396Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The homogeneous system of matrix equations (X(T)A + AX, (XB)-B-T + BX) = (0, 0), where (A, B) is a pair of skew-symmetric matrices of the same size is considered: we establish the general solution and calculate the codimension of the orbit of (A, B) under congruence. These results will be useful in the development of the stratification theory for orbits of skew-symmetric matrix pencils.

sted, utgiver, år, opplag, sider
Elsevier, 2013. Vol. 438, nr 8, s. 3375-3396
Emneord [en]
Pair of skew-symmetric matrices, Matrix equations, Orbits, Codimension
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Identifikatorer
URN: urn:nbn:se:oru:diva-74895DOI: 10.1016/j.laa.2012.11.025ISI: 000316521500015Scopus ID: 2-s2.0-84875429601OAI: oai:DiVA.org:oru-74895DiVA, id: diva2:1332890
Forskningsfinansiär
eSSENCE - An eScience CollaborationSwedish Research Council, A0581501Tilgjengelig fra: 2019-06-28 Laget: 2019-06-28 Sist oppdatert: 2019-09-20bibliografisk kontrollert

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Dmytryshyn, AndriiKågström, Bo

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