This paper contains a general characterization for the permutation polynomials of the symmetric matrices over any ยฎeld. Speciยฎc characterizations are for symmetric matrices over algebraically closed ยฎelds, principal axis ยฎelds, and ยฎnite ยฎelds. In the latter case enumeration formulas are established
โฆ LIBER โฆ
Chebyshev polynomials on symmetric matrices
โ Scribed by Karin Erdmann; Sibylle Schroll
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 403 KB
- Volume
- 434
- Category
- Article
- ISSN
- 0024-3795
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The topic of the paper is spectral factorization of rectangular and possibly non-full-rank polynomial matrices. To each polynomial matrix we associate a matrix pencil by direct assignment of the coefficients. The associated matrix pencil has its finite generalized eigenvalues equal to the zeros of t