Equivalences of matrix polynomials
We investigate whether variants of equivalence of (singular) matrix polynomials imply those of the first companion linearizations, and the converse question. We study a method of deciding whether two polynomials are strictly equivalent, and which are all the pairs of matrices effecting this equivale...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/ 10.14232/actasm-012-012-z |
| Online Access: | http://acta.bibl.u-szeged.hu/34493 |
| Tartalmi kivonat: | We investigate whether variants of equivalence of (singular) matrix polynomials imply those of the first companion linearizations, and the converse question. We study a method of deciding whether two polynomials are strictly equivalent, and which are all the pairs of matrices effecting this equivalence. The corresponding problems for the (strict) similarity of square matrix polynomials are studied. We investigate the strict equivalence of a square polynomial to a polynomial whose all coefficient matrices are diagonal, and study also the singular case. |
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| Terjedelem/Fizikai jellemzők: | 233-260 |
| ISSN: | 0001-6969 |