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Fakultät für Mathematik
Böttcher, Albrecht : Orthogonal Symmetric Toeplitz Matrices

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

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