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w -加权核-电位矩阵的进一步表征

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-05-30 DOI:10.1016/j.cam.2025.116788

Ehsan Kheirandish , Abbas Salemi , Qing-Wen Wang

引用次数: 0

摘要

假设A∈Mm，n（）且0≠W∈Mn，m（）。若矩阵A†Ac，WW=WAc,WA†，其中Ac，W是A的W加权核心部分，A†表示A的Moore-Penrose逆，则矩阵A称为W加权核心- ep矩阵。此外，还引入了A的w加权核心部分，给出了w加权DMP、w加权MPD和w加权CMP逆的表征。最后，研究了A的w加权核心部分在求解奇异线性系统中的应用。

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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Further characterizations of W-weighted core-EP matrices

Suppose that

A \in M_{m, n} (ℂ)

and

0 \neq W \in M_{n, m} (ℂ)

. The matrix

A

is called W-weighted core-EP matrix, if

A^{†} A^{c, W} W = W A^{c, W} A^{†}

where

A^{c, W}

is the

W

-weighted core part of

A

, and

A^{†}

represents the Moore–Penrose inverse of

A

. In this paper, some equivalent conditions of

W

-weighted core-EP matrices are investigated. Moreover, the W-weighted core part of

A

is introduced, and characterizations of

W

-weighted DMP,

W

-weighted MPD, and

W

-weighted CMP inverses are given. Finally, applications of the W-weighted core part of

A

in solving singular linear systems are studied.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.