矩阵方程斜对称系统的紧致公式

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-08-14 DOI:10.1007/s40065-023-00439-8

Abdur Rehman, Ivan I. Kyrchei

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引用次数: 0

摘要

本文研究复域上包含（*）-热性的广义Sylvester矩阵耦合方程的斜Hermitian解。当满足一些充要条件时，用广义逆的形式给出了该系统通解的紧致公式。给出了一个算法和一个数值例子来验证我们的发现。使用Moore–Penrose逆的行列式表示进行了一个数值示例。

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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Compact formula for skew-symmetric system of matrix equations

In this paper, we consider skew-Hermitian solution of coupled generalized Sylvester matrix equations encompassing \(*\)-hermicity over complex field. The compact formula of the general solution of this system is presented in terms of generalized inverses when some necessary and sufficient conditions are fulfilled. An algorithm and a numerical example are provided to validate our findings. A numerical example is carried out using determinantal representations of the Moore–Penrose inverse.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.