Condition numbers of the minimum norm least squares solution for the least squares problem involving Kronecker products

被引：1

作者：

Meng, Lingsheng ^{[1
]}

Li, Limin ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 09期

关键词：

condition number; Kronecker product; least squares; upper bound; componentwise; MOORE-PENROSE INVERSE; LINEAR-SYSTEMS; MATRICES;

D O I：

10.3934/math.2021544

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the upper bounds for two kinds of normiwse condition numbers are derived for min(x) parallel to(A circle times B)x - b parallel to(2) when the coefficient matrix is of rank deficient. In addition, the upper bounds on the mixed and componentwise condition numbers are also given. Numerical experiments are given to confirm our results.

引用

页码：9366 / 9377

页数：12

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