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On the eigenvalues of some transfer matrices

✍ Scribed by Bastien Fernandez; Maciej Pindor

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
437 KB
Volume
81
Category
Article
ISSN
0377-0427

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✦ Synopsis

We consider the roots of two families of polynomials which can be derived as the characteristic polynomials of some (generalized) transfer matrices. We study the possible multiplicities and the number of real roots. Moreover, the number of roots lying inside the unit disk is determined, and bounds for their modulus and for the modulus of the other roots are given.

πŸ“œ SIMILAR VOLUMES

On the eigenvalues of double band matric
On the eigenvalues of double band matrices
✍ Tyler McMillen πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 140 KB

We consider matrices containing two diagonal bands of positive entries. We show that all eigenvalues of such matrices are of the form rΞΆ , where r is a nonnegative real number and ΞΆ is a pth root of unity, where p is the period of the matrix, which is computed from the distance between the bands. We