Email this article Block-Diagonal Similarity and Semiscalar Equivalence of Matrices
- Authors: Shavarovskii B.Z.1
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Affiliations:
- Pidstyhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 222, No 1 (2017)
- Pages: 35-49
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239145
- DOI: https://doi.org/10.1007/s10958-017-3280-0
- ID: 239145
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Abstract
We determine the canonical form of a complex matrix B with respect to the similarity B → S−1BS, 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.
About the authors
B. Z. Shavarovskii
Pidstyhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv
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