Properties of core-EP matrices and binary relationships

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-07-03 DOI:10.1007/s40314-024-02836-x

Ehsan Kheirandish, Abbas Salemi, Néstor Thome

引用次数: 0

Abstract

In this paper, various properties of core-EP matrices are investigated. We introduce the MPDMP matrix associated with A and by means of it, some properties and equivalent conditions of core-EP matrices can be obtained. Also, properties of MPD, DMP, and CMP inverses are studied and we prove that in the class of core-EP matrices, DMP, MPD, and Drazin inverses are the same. Moreover, DMP and MPD binary relation orders are introduced and the relationship between these orders and other binary relation orders are considered.

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核心-EP 矩阵的特性和二元关系

本文研究了核心-EP 矩阵的各种性质。我们引入了与 A 相关联的 MPDMP 矩阵，并通过它得到了核心-EP 矩阵的一些性质和等价条件。我们还研究了 MPD、DMP 和 CMP 逆的性质，并证明在核-EP 矩阵类中，DMP、MPD 和 Drazin 逆是相同的。此外，我们还引入了 DMP 和 MPD 二元关系阶，并考虑了这些阶与其他二元关系阶之间的关系。

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

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.