Solvability of matrix equations in rings of quasi-diagonal matrices and similarity of matrix polynomials

Solvability of matrix equations in rings of quasi-diagonal matrices and similarity of matrix polynomials

A certain standard form is found for a complex matrix with respect to equivalent transformations by quasi-diagonal matrices. The solvability of certain matrix equations in the rings of quasi-diagonal matrices is examined using this standard form.[PUBLICATION ABSTRACT]

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Bibliographische Detailangaben
Veröffentlicht in:Computational mathematics and mathematical physics 2006-08, Vol.46 (8), p.1283-1292
1. Verfasser: Shavarovskii, B Z
Format: Artikel
Sprache:eng
Schlagworte:
Equivalence
Mathematical analysis
Mathematical models
Matrices
Matrix methods
Operations research
Similarity
Transformations
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Zusammenfassung:A certain standard form is found for a complex matrix with respect to equivalent transformations by quasi-diagonal matrices. The solvability of certain matrix equations in the rings of quasi-diagonal matrices is examined using this standard form.[PUBLICATION ABSTRACT]
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542506080021