Eigenvalues of rank one perturbations of unstructured matrices

被引:24
|
作者
Ran, Andre C. M. [2 ]
Wojtylak, Michal [1 ]
机构
[1] Uniwersytet Jagiellonski, Inst Matematyki, Wydzial Matematyki & Informatyki, PL-30348 Krakow, Poland
[2] Vrije Univ Amsterdam, Fac Exacte Wetenschappen, Afdeling Wiskunde, NL-1081 HV Amsterdam, Netherlands
关键词
Perturbations; Eigenvalues; SPECTRAL PROPERTIES;
D O I
10.1016/j.laa.2012.02.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let A be a fixed complex matrix and let u, v be two vectors. The eigen-values of matrices A + tau uv(T) (tau is an element of R) form a system of intersecting curves. The dependence of the intersections on the vectors u, v is studied. (c) 2012 Elsevier Inc. All rights reserved.
引用
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页码:589 / 600
页数:12
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