Orthogonal Symmetric Toeplitz Matrices

被引：6

作者：

Boettcher, Albrecht ^{[1
]}

机构：

[1] TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2008年 / 2卷 / 02期

关键词：

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

D O I：

10.1007/s11785-008-0053-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：285 / 298

页数：14

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