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

共 50 条

[21] The matrix sign function method and the computation of invariant subspaces
Byers, R
He, CY
Mehrmann, V
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1997, 18 (03) : 615 - 632
[22] Spectral Continuity Relative to Invariant Subspaces
Salvador Sánchez-Perales
Slaviša V. Djordjević
Complex Analysis and Operator Theory, 2017, 11 : 927 - 941
[23] The Proper Elements and Simple Invariant Subspaces
Djordjevic, Slavisa V.
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2012, 3 (01): : 17 - 23
[24] Subspaces of C∞ invariant under the differentiation
Aleman, Alexandru
Baranov, Anton
Belov, Yurii
JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 268 (08) : 2421 - 2439
[25] NUMERICAL CONSIDERATIONS IN COMPUTING INVARIANT SUBSPACES
DONGARRA, JJ
HAMMARLING, S
WILKINSON, JH
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1992, 13 (01) : 145 - 161
[26] Invariant subspaces for polynomially hyponormal operators
Prunaru, B
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (06) : 1689 - 1691
[27] Structured condition numbers for invariant subspaces
Byers, Ralph
Kressner, Daniel
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2006, 28 (02) : 326 - 347
[28] A REMARK ON INVARIANT SUBSPACES OF POSITIVE OPERATORS
Troitsky, Vladimir G.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (12) : 4345 - 4348
[29] Invariant subspaces for LPV systems and their applications
Balas, G
Bokor, J
Szabó, Z
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (11) : 2065 - 2069
[30] Perturbations of invariant subspaces of compact Operators
Gil M.
Acta Scientiarum Mathematicarum, 2016, 82 (1-2): : 271 - 279

← 1 2 3 4 5 →