Characterizations of weighted generalized inverses

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2025-01-20 DOI:10.1007/s00010-024-01151-4

Bibekananda Sitha, Ratikanta Behera, Jajati Keshari Sahoo, R. N. Mohapatra, Predrag Stanimirović, Alena Stupina

引用次数: 0

Abstract

The main objective of this study is to introduce unique representations and characterizations for the several classes of weighted generalized inverses of matrices. Proposed representations of the matrix-weighted core inverse will help us to discuss some results associated with the reverse order law for these inverses. Furthermore, this paper introduces an extension of the concepts of generalized bilateral inverse and their respective dual for complex rectangular matrices. Characteristics that lead to self-duality in weighted bilateral inverses are also examined. In addition, a W-weighted index-MP, W-weighted MP-index, and W-weighted MP-index-MP matrices for rectangular complex matrices are introduced.

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加权广义逆的刻画

本研究的主要目的是介绍几类加权广义逆矩阵的唯一表示和表征。提出的矩阵加权核心逆的表示将有助于我们讨论与这些逆序律相关的一些结果。进一步推广了复矩形矩阵的广义双侧逆及其对偶的概念。导致加权双边逆的自对偶的特征也进行了研究。此外，还介绍了矩形复矩阵的w -加权索引- mp、w -加权mp -索引和w -加权mp -索引- mp矩阵。

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

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.