Böttcher, Albrecht : Orthogonal Symmetric Toeplitz Matrices

Author(s):

Böttcher, Albrecht

Title:

Orthogonal Symmetric Toeplitz Matrices

Electronic source:

application/pdf

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 7, 2007

Mathematics Subject Classification:

47B35			[ Toeplitz operators, Hankel operators, Wiener-Hopf operators ]
15A15			[ Determinants, permanents, other special matrix functions ]

Abstract:

We show that the number of orthogonal and symmetric Toeplitz matrices of a given order is finite and determine all these matrices. In this way we also obtain a description of the set of all symmetric Toeplitz matrices whose spectrum is a prescribed doubleton.

Keywords:

Toeplitz matrix, matrix power, orthogonal matrix, symmetric matrix, circulant, skew circulant, inverse eigenvalue problem

Language:

English

Publication time:

2 / 2007