Semiscalar Equivalence and Quasidiagonal Similarity of the Matrices

Semiscalar Equivalence and Quasidiagonal Similarity of the Matrices

We establish the conditions of semiscalar equivalence for one class of regularizable polynomial matrices and determine the canonical form of the matrix relative to the quasidiagonal similarity.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018, Vol.228 (1), p.11-25
1. Verfasser: Shavarovskii, B. Z.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
DIFFERENTIAL EQUATIONS
Equivalence
MATHEMATICAL METHODS AND COMPUTING
Mathematics
Mathematics and Statistics
MATRICES
Polynomial matrices
POLYNOMIALS
Similarity
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Beschreibung
Zusammenfassung:We establish the conditions of semiscalar equivalence for one class of regularizable polynomial matrices and determine the canonical form of the matrix relative to the quasidiagonal similarity.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3602-2