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This article is cited in 8 scientific papers (total in 8 papers)
On Some “Tame” and “Wild” Aspects of the Problem of Semiscalar Equivalence of Polynomial Matrices
B. Z. Shavarovskii Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
Abstract:
The problem of reducing polynomial matrices to canonical form by using semiscalar equivalent transformations is studied. This problem is wild as a whole. However, it is tame in some special cases. In the paper, classes of polynomial matrices are singled out for which canonical forms with respect to semiscalar equivalence are indicated. We use this tool to construct a canonical form for the families of coefficients corresponding to the polynomial matrices. This form enables one to solve the classification problem for families of numerical matrices up to similarity.
Received: 30.09.2002 Revised: 16.04.2003
Citation:
B. Z. Shavarovskii, “On Some “Tame” and “Wild” Aspects of the Problem of Semiscalar Equivalence of Polynomial Matrices”, Mat. Zametki, 76:1 (2004), 119–132; Math. Notes, 76:1 (2004), 111–123
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https://www.mathnet.ru/eng/mzm94https://doi.org/10.4213/mzm94 https://www.mathnet.ru/eng/mzm/v76/i1/p119
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Abstract page: | 416 | Full-text PDF : | 186 | References: | 56 | First page: | 1 |
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