Congruence of polynomial matrices

被引：0
|
作者：
Pierce, S [1 ]
机构：
[1] San Diego State Univ, Dept Math Sci, San Diego, CA 92182 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 294卷 / 1-3期
关键词：
congruence; diagonally dominant;
D O I：
10.1016/S0024-3795(99)00029-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R = C[t] be the ring of all polynomials in the real variable t with complex coefficients. We show that if A is an n-square hermitian matrix with entries in R, then A is congruent to the direct sum of a zero matrix and a diagonally dominant matrix. Here, diagonally dominant means that the degree of any main diagonal entry is greater than the degree of any other entry in the same row and column. (C) 1999 Elsevier Science Inc. All rights reserved.
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页码：1 / 8
页数：8
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