ON A PERTURBATION BOUND FOR INVARIANT SUBSPACES OF MATRICES

被引：15

作者：

Karow, Michael ^{[1
]}

Kressner, Daniel ^{[2
]}

机构：

[1] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

[2] Ecole Polytech Fed Lausanne, MATHICSE, CH-1015 Lausanne, Switzerland

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2014年 / 35卷 / 02期

关键词：

invariant subspaces; perturbation theory; pseudospectra; quadratic matrix equation; STABLE EIGENDECOMPOSITIONS; SEPARATION; ERROR;

D O I：

10.1137/130912372

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a nonsymmetric matrix A, we investigate the effect of perturbations on an invariant subspace of A. The result derived in this paper differs from Stewart's classical result and sometimes yields tighter bounds. Moreover, we provide norm estimates for the remainder terms in well-known perturbation expansions for invariant subspaces, eigenvectors, and eigenvalues.

引用

页码：599 / 618

页数：20

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