Optimal perturbation bounds for the core inverse

被引：34

作者：

Ma, Haifeng ^{[1
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Heilongjiang, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 336卷

关键词：

Core inverse; Group inverse; Moore-Penrose inverse; Perturbation; Spectral norm; RECTANGULAR MATRICES; MOORE-PENROSE; ORDER; INVOLUTION;

D O I：

10.1016/j.amc.2018.04.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short note, we study some perturbation properties of the core inverse. We present the closed form and perturbation bounds for the core inverse under some conditions, which extend the classical result on the perturbation of the nonsingular matrix. Our expressions for the perturbation of the core inverse are simple and perturbation bounds are sharp. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：176 / 181

页数：6

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