THE NUMERICAL RANGE OF MATRIX PRODUCTS

被引：0
|
作者：
Drury, Stephen [1 ]
机构：
[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 0B9, Canada
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2024年 / 40卷
关键词：
Numerical range; Matrix product;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss what can be said about the numerical range of the matrix product A(1 )A(2) when the numerical ranges of A(1 )and A(2) are known. If two compact convex subsets K-1, K-2 of the complex plane are given, we discuss the issue of finding a compact convex subset K such that whenever A(j) (j = 1,2) are either unrestricted matrices or normal matrices of the same shape with W(A(j)) subset of K-j, it follows that W(A(1) A(2)) subset of K. We do this by defining specific deviation quantities for both the unrestricted case and the normal case.
引用
收藏
页码：307 / 321
页数：15
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