广义Moore-Penrose逆的进一步表示和计算

IF 1.8 3区数学 Q1 MATHEMATICS AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231191

Kezheng Zuo, Yang Chen, Li Yuan

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引用次数: 0

摘要

本文的目的是提供广义Moore-Penrose逆的新的表示和计算方法。基于Moore-Penrose逆、群逆、bot - duffin逆和某些投影，给出了广义Moore-Penrose逆的一些表示。给出了广义Moore-Penrose逆连续的一个等价条件。给出了计算广义Moore-Penrose逆的分裂方法和逐次矩阵平方算法。

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Further representations and computations of the generalized Moore-Penrose inverse

The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent condition for the continuity of the generalized Moore-Penrose inverse is proposed. Splitting methods and successive matrix squaring algorithm for computing the generalized Moore-Penrose inverse are presented.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.