Structured mixed and componentwise condition numbers of some structured matrices

被引：13

作者：

Xiang, Hua

Wei, Yimin ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

[3] Fudan Univ, Key Lab Math Nonlinear Sci, Minist Educ, Shanghai 200433, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 202卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Cauchy; circulant; componentwise; condition number; Hankel; Kronecker product; mixed; structured matrix; Toeplitz; Vandermonde;

D O I：

10.1016/j.cam.2006.02.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Structured matrices, such as Cauchy, Vandermonde, Toeplitz, Hankel, and circulant matrices, are considered in this paper. We apply a Kronecker product-based technique to deduce the structured mixed and componentwise condition numbers for the matrix inversion and for the corresponding linear systems. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：217 / 229

页数：13

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