Highly symmetric generalized circulant permutation matrices
โ Scribed by M. Abreu; D. Labbate; R. Salvi; N. Zagaglia Salvi
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 117 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
Guo [W. Guo, Eigenvalues of nonnegative matrices, Linear Algebra Appl. 266 (1997) 261-270] sets the question: if the list ฮ = {ฮป 1 , ฮป 2 , . . . , ฮป n } is symmetrically realizable (that is, ฮ is the spectrum of a symmetric nonnegative matrix), and t > 0, whether or not the list ฮ t = {ฮป 1 + t, ฮป 2