Reduced Triangular Form of Polynomial 3-by-3 Matrices with One Characteristic Root and Its Invariants
In this paper the semiscalar equivalence of polynomial matrices is investigated. We introduce the notion of the so-called reduced triangular form with respect to semiscalar equivalence for the 3-by-3 matrices with one characteristic root and indicate the invariants of this reduced form.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/3127984 |
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| Summary: | In this paper the semiscalar equivalence of polynomial matrices is investigated. We introduce the notion of the so-called reduced triangular form with respect to semiscalar equivalence for the 3-by-3 matrices with one characteristic root and indicate the invariants of this reduced form. |
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| ISSN: | 2314-4629 2314-4785 |