On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue

被引：0

作者：

Ikramov Kh.D. ^{[1
]}

Nazari A.M. ^{[1
]}

机构：

[1] Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2006年 / 137卷 / 3期

关键词：

Stationary Point; Simple Root; Normal Matrix; Hermitian Matrix; Elementary Proof;

D O I：

10.1007/s10958-006-0277-5

中图分类号：

学科分类号：

摘要：

An elementary proof of a formula for the 2-norm distance from a normal matrix A to the set of matrices with a multiple zero eigenvalue is given. Earlier, the authors obtained this formula as an implication of a nontrivial result due to A. N. Malyshev. Bibliography: 4 titles. © 2006 Springer Science+Business Media, Inc.

引用

页码：4789 / 4793

页数：4

共 50 条

[21] Dictionary Learning by Nonnegative Matrix Factorization with l1/2-Norm Sparsity Constraint
Li, Zhenni
Tang, Zunyi
Ding, Shuxue
2013 IEEE INTERNATIONAL CONFERENCE ON CYBERNETICS (CYBCONF), 2013,
[22] 2-NORM ERROR BOUNDS AND ESTIMATES FOR LANCZOS APPROXIMATIONS TO LINEAR SYSTEMS AND RATIONAL MATRIX FUNCTIONS
Frommer, A.
Kahl, K.
Lippert, Th.
Rittich, H.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2013, 34 (03) : 1046 - 1065
[23] Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices
Eynard, B
NUCLEAR PHYSICS B, 1997, 506 (03) : 633 - 664
[24] Multiple-timescale analysis for bifurcation from a multiple-zero eigenvalue
Luongo, A
Di Egidio, A
Paolone, A
AIAA JOURNAL, 2003, 41 (06) : 1143 - 1150
[25] Multiple-timescale analysis for bifurcation from a multiple-zero eigenvalue
Luongo, A. (luongo@ing.univaq.it), 1600, American Inst. Aeronautics and Astronautics Inc. (41):
[26] TRIDIAGONAL APPROACH TO THE ALGEBRAIC ENVIRONMENT OF TOEPLITZ MATRICES .2. ZERO AND EIGENVALUE PROBLEMS
DELSARTE, P
GENIN, Y
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1991, 12 (03) : 432 - 448
[27] Sufficient conditions for error distance reduction in the t2 2-norm trust region between minimizers of local nonconvex multivariate quadratic approximates
Xie, Pengcheng
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 453
[28] EIGENVALUE STATISTICS FOR CMV MATRICES: FROM POISSON TO CLOCK VIA RANDOM MATRIX ENSEMBLES
Kilip, Rowan
Stoiciu, Mihai
DUKE MATHEMATICAL JOURNAL, 2009, 146 (03) : 361 - 399
[29] THE D1/2-NORM OF THE SOR AND CYCLIC CHEBYSHEV SEMI-ITERATIVE (CCSI) METHODS FOR A CLASS OF NON-SYMMETRIC MATRICES
EVANS, DJ
LI, C
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1989, 27 (03) : 547 - 557
[30] On the Smith Normal Form of the Least Common Multiple of Matrices from some Class of Matrices
Romaniv A.M.
Journal of Mathematical Sciences, 2023, 277 (1) : 53 - 59

← 1 2 3 4 5 →