约束四元数矩阵方程的w - mpd - n - dmp -解

IF 0.8 Q2 MATHEMATICS

Special Matrices Pub Date : 2023-01-01 DOI:10.1515/spma-2022-0183

Ivan Kyrchei, D. Mosić, P. Stanimirović

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引用次数: 0

摘要

摘要研究了几种新的约束四元数矩阵方程的可解性，并根据合适矩阵的加权MPD逆和加权DMP逆给出了它们的唯一解。考虑这些新方程的一些特例和相应的解是很有趣的。前面提到的方程解的行列式表示被建立为适当子的和。为了说明所获得的结果，给出了一个数值例子。

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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W-MPD–N-DMP-solutions of constrained quaternion matrix equations

Abstract The solvability of several new constrained quaternion matrix equations is investigated, and their unique solutions are presented in terms of the weighted MPD inverse and weighted DMP inverse of suitable matrices. It is interesting to consider some exceptional cases of these new equations and corresponding solutions. Determinantal representations for the solutions of the equations as mentioned earlier are established as sums of appropriate minors. In order to illustrate the obtained results, a numerical example is shown.

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来源期刊

Special Matrices MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

8 weeks

期刊介绍： Special Matrices publishes original articles of wide significance and originality in all areas of research involving structured matrices present in various branches of pure and applied mathematics and their noteworthy applications in physics, engineering, and other sciences. Special Matrices provides a hub for all researchers working across structured matrices to present their discoveries, and to be a forum for the discussion of the important issues in this vibrant area of matrix theory. Special Matrices brings together in one place major contributions to structured matrices and their applications. All the manuscripts are considered by originality, scientific importance and interest to a general mathematical audience. The journal also provides secure archiving by De Gruyter and the independent archiving service Portico.