Block-Diagonal Similarity and Semiscalar Equivalence of Matrices

Block-Diagonal Similarity and Semiscalar Equivalence of Matrices

We determine the canonical form of a complex matrix B with respect to the similarity B → S −1 BS , where S is the direct sum of invertible upper triangular Toeplitz blocks. The conditions necessary and sufficient for the semiscalar equivalence of one type of polynomial matrices are established.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-04, Vol.222 (1), p.35-49
1. Verfasser: Shavarovskii, B. Z.
Format: Artikel
Sprache:eng
Schlagworte:
Equivalence
Mathematics
Mathematics and Statistics
Polynomial matrices
Similarity
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Beschreibung
Zusammenfassung:We determine the canonical form of a complex matrix B with respect to the similarity B → S −1 BS , where S is the direct sum of invertible upper triangular Toeplitz blocks. The conditions necessary and sufficient for the semiscalar equivalence of one type of polynomial matrices are established.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3280-0