On spectral variation of two-parameter matrix eigenvalue problem

被引:1
|
作者
Gil, Michael [1 ]
机构
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2015年 / 87卷 / 3-4期
关键词
matrices; two-parameter eigenvalue problem; spectrum perturbation; CONDITION NUMBERS; PENCIL;
D O I
10.5486/PMD.2015.7127
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the two-parameter eigenvalue problem Z(j)v(j) - lambda(1)A(j1)v(j) - lambda(2)A(j2)v(j) = 0, where lambda(j) is an element of C; Z(j), A(jk) (j, k = 1,2) are matrices. Bounds for the variation of the spectrum of that problem under perturbations are suggested.
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页码:269 / 278
页数:10
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