Note on small singular values of sequences of matrices

被引：0

作者：

Ashyralyyev, Charyyar ^{[1
]}

Cakir, Zafer ^{[1
]}

机构：

[1] Gumushane Univ, Dept Engn Math, TR-29100 Gumushane, Turkey

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014) | 2014年 / 1611卷

关键词：

Matrix pencils; Singular values; Matrix theory; PENCILS; INVARIANTS;

D O I：

10.1063/1.4893824

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some sequences of matrices for matrix pencils are considered. Properties of small singular values of these matrices are investigated. Estimates for singular values are obtained. The result of computer calculations is given.

引用

页码：167 / 171

页数：5

共 12 条

[1] ON PSEUDOSPECTRA, CRITICAL POINTS, AND MULTIPLE EIGENVALUES OF MATRIX PENCILS [J].

Ahmad, Sk Safique ;

Alam, Rafikul ;

Byers, Ralph .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2010, 31 (04) :1915-1933

[2]

[Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[3]

Antonov A. G., 1988, GUARANTEED ACCURACY

[4] A matrix-pencil approach to blind separation of colored nonstationary signals [J].

Chang, CQ ;

Ding, Z ;

Yau, SF ;

Chan, FHY .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2000, 48 (03) :900-907

[5] THE GENERALIZED CAYLEY-HAMILTON THEOREM FOR STANDARD PENCILS [J].

CHANG, FR ;

CHEN, HC .

SYSTEMS & CONTROL LETTERS, 1992, 18 (03) :179-182

[6]

Díaz A, 2009, MATH COMPUT SCI ENG, P64

[7]

FAN K, 1954, NBS APPL MATH SERIES, P131

[8]

Gantmacher F., 1959, THEORY MATRICES 1 2

[9]

Li RC, 2003, MATH COMPUT, V72, P715, DOI 10.1090/S0025-5718-02-01449-7

[10]

Marshall Albert W, 1979, Inequalities: Theory of Majorization and its Applications, V143

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