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Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade
Department of Computing Science, Umeå University, Umeå, Sweden.ORCID-id: 0000-0001-9110-6182
Departamento de Matemáticas, Universidad Carlos III de Madrid, Leganés, Spain.
2018 (engelsk)Inngår i: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 536, s. 1-18Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We show that the set of m×m complex skew-symmetric matrix polynomials of odd grade d, i.e., of degree at most d, and (normal) rank at most 2r is the closure of the single set of matrix polynomials with the certain, explicitly described, complete eigenstructure. This complete eigenstructure corresponds to the most generic m×m complex skew-symmetric matrix polynomials of odd grade d and rank at most 2r. In particular, this result includes the case of skew-symmetric matrix pencils (d=1).

sted, utgiver, år, opplag, sider
Elsevier , 2018. Vol. 536, s. 1-18
Emneord [en]
Complete eigenstructure, Genericity, Matrix polynomials, Skew-symmetry, Normal rank, Orbits, Pencils
HSV kategori
Forskningsprogram
administrativ databehandling
Identifikatorer
URN: urn:nbn:se:oru:diva-74880DOI: 10.1016/j.laa.2017.09.006ISI: 000414814500001Scopus ID: 2-s2.0-85029546242OAI: oai:DiVA.org:oru-74880DiVA, id: diva2:1332906
Forskningsfinansiär
Swedish Research Council, E0485301eSSENCE - An eScience Collaboration
Merknad

Research funders:

Ministerio de Economía, Industria y Competitividad of Spain

Fondo Europeo de Desarrollo Regional (FEDER) of EU

Tilgjengelig fra: 2019-06-28 Laget: 2019-06-28 Sist oppdatert: 2019-09-20bibliografisk kontrollert

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