A LOWER BOUND FOR THE SMALLEST SINGULAR VALUE

被引：16

作者：

Zou, Limin ^{[1
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Chongqing 404100, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2012年 / 6卷 / 04期

关键词：

Singular values; Frobenius norm; determinant; MATRIX;

D O I：

10.7153/jmi-06-60

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain a lower bound for the smallest singular value of nonsingular matrices which is better than the bound presented by Yu and Gu [Linear Algebra Appl. 252(1997)25-38]. Meanwhile, we give some numerical examples which will show the effectiveness of our result.

引用

页码：625 / 629

页数：5

共 50 条

[21] An upper bound on the smallest singular value of a square random matrix
Tatarko, Kateryna
JOURNAL OF COMPLEXITY, 2018, 48 : 119 - 128
[22] LOWER BOUNDS FOR THE SMALLEST SINGULAR VALUE VIA PERMUTATION MATRICES
Li, Chaoqian
Zhou, Xuelin
Wang, Hehui
JOURNAL OF MATHEMATICAL INEQUALITIES, 2024, 18 (02): : 591 - 604
[23] LOWER BOUNDS FOR THE SMALLEST SINGULAR VALUE OF STRUCTURED RANDOM MATRICES
Cook, Nicholas
ANNALS OF PROBABILITY, 2018, 46 (06): : 3442 - 3500
[24] On updating the least singular value: a lower bound
C. Fassino
CALCOLO, 2003, 40 : 213 - 229
[25] On updating the least singular value: a lower bound
Fassino, C
CALCOLO, 2003, 40 (04) : 213 - 229
[26] REMARKS ON EQUALITY IN JOHNSON LOWER BOUNDS FOR THE SMALLEST SINGULAR VALUE OF A MATRIX
LEWKOWICZ, I
LINEAR ALGEBRA AND ITS APPLICATIONS, 1989, 120 : 39 - 46
[27] On the smallest singular value in the class of unit lower triangular matrices with entries in [-a, a]
Altinisik, Ercan
SPECIAL MATRICES, 2021, 9 (01): : 297 - 304
[28] Equality conditions for lower bounds on the smallest singular value of a bidiagonal matrix
Yamamoto, Yusaku
APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 254 - 260
[29] On the smallest singular value in the class of invertible lower triangular (0,1) matrices
Loewy, Raphael
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 608 : 203 - 213
[30] Estimation of the eigenvalues and the smallest singular value of matrices
Zou, Limin
Jiang, Youyi
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (06) : 1203 - 1211

← 1 2 3 4 5 →