ON PERIODIC BLOCK-TRIDIAGONAL MATRICES

被引：7
|
作者：
ROZSA, P [1 ]
ROMANI, F [1 ]
机构：
[1] TECH UNIV BUDAPEST,DEPT MATH,H-1111 BUDAPEST,HUNGARY
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1992年 / 167卷
关键词：
D O I：
10.1016/0024-3795(92)90337-A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Periodic block-tridiagonal matrices are defined, and conditions are given for factorizing their characteristic polynomial by means of the zeros of Chebyshev polynomials of the second kind. These conditions are expressed by the block centrosymmetry of certain submatrices along the main diagonal. The main theorems can be considered as generalizations of an earlier result published by Elsner and Redheffer and by Rozsa.
引用
收藏
页码：35 / 52
页数：18
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