Approximability by weighted norms of the structured and volumetric singular values of a class of nonnegative matrices

被引：5
|
作者：
Hershkowitz, D
Huang, WC
Schneider, H
Weinberger, H
机构：
[1] UNIV WISCONSIN,DEPT MATH,MADISON,WI 53706
[2] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455
来源：
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1997年 / 18卷 / 01期
关键词：
structured singular values; volumetric singular values; nonnegative matrices; weighted l(p) norms;
D O I：
10.1137/S0895479895293247
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A known result about the spectral radius of an irreducible nonnegative matrix is extended to all nonnegative matrices. By means of this result, it is shown that the structured singular value and the Volumetric singular Value of a class of nonnegative matrices can be approximated with arbitrary accuracy by the matrix norm induced by a weighted l(2) vector norm and in the simplest case by a weighted l(p) vector norm for any p.
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页码：249 / 257
页数：9
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