On the Triangular Form of a Polynomial Matrix and Its Invariants with Respect to the Semiscalar Equivalence

On the Triangular Form of a Polynomial Matrix and Its Invariants with Respect to the Semiscalar Equivalence

We investigate the structure of polynomial matrices in connection with their reducibility by semiscalarequivalent transformations to simpler forms. We obtain a system of invariants for one class of matrices with respect to semiscalar equivalence. On this basis, we establish the almost canonical form...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2013-10, Vol.194 (2), p.133-148
1. Verfasser: Shavarovskii, B. Z.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We investigate the structure of polynomial matrices in connection with their reducibility by semiscalarequivalent transformations to simpler forms. We obtain a system of invariants for one class of matrices with respect to semiscalar equivalence. On this basis, we establish the almost canonical form of a matrix with respect to semiscalar equivalence.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-013-1514-3