An upper bound for the condition number of a matrix in spectral norm

被引：30

作者：

Piazza, G ^{[1
]}

Politi, T ^{[1
]}

机构：

[1] Politecn Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 143卷 / 01期

关键词：

condition number; singular values;

D O I：

10.1016/S0377-0427(02)00396-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we generalize an upper bound given in Guggenheimer et al. (College Math. J. 26(1) (1995) 2) for the condition number of a matrix as a function of the determinant, the Frobenius norm and of k singular values. If no singular value is known it is possible to derive an upper bound for the condition number applying lower and upper bounds for the product of a subset of singular values. (C) 2002 Published by Elsevier Science B.V.

引用

页码：141 / 144

页数：4

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