Expressions and characterizations for the Moore-Penrose inverse of operators and matrices

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2021-12-20 DOI:10.13001/ela.2023.7315

P. Morillas

引用次数: 1

Abstract

Under certain conditions, we prove that the Moore-Penrose inverse of a sum of operators is the sum of the Moore-Penrose inverses. From this, we derive expressions and characterizations for the Moore-Penrose inverse of an operator that are useful for its computation. We give formulations of them for finite matrices and study the Moore-Penrose inverse of circulant matrices and of distance matrices of certain graphs.

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算子和矩阵的Moore-Penrose逆的表达式和表征

在一定条件下，我们证明了算子和的Moore-Penrose逆是Moore-Pennrose逆的和。由此，我们导出了对算子的Moore-Penrose逆的计算有用的表达式和特征。我们给出了有限矩阵的它们的公式，并研究了某些图的循环矩阵和距离矩阵的Moore-Penrose逆。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.