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.
机构:
Univ Autonoma Estado Hidalgo, Ctr Invest Matemat, Pachuca, Hidalgo, MexicoUniv Autonoma Estado Hidalgo, Ctr Invest Matemat, Pachuca, Hidalgo, Mexico
Itza-Ortiz, Benjamin A.
Martinez-Avendano, Ruben A.
论文数: 0引用数: 0
h-index: 0
机构:
Inst Tecnol Autonomo Mexico, Dept Acad Matemat, Mexico City, DF, MexicoUniv Autonoma Estado Hidalgo, Ctr Invest Matemat, Pachuca, Hidalgo, Mexico
Martinez-Avendano, Ruben A.
Nakazato, Hiroshi
论文数: 0引用数: 0
h-index: 0
机构:
Hirosaki Univ, Dept Math & Phys, Hirosaki, Aomori, JapanUniv Autonoma Estado Hidalgo, Ctr Invest Matemat, Pachuca, Hidalgo, Mexico