四元数代数上具有任意数量方程和未知数的新西尔维斯特类矩阵方程组

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-10-21 DOI:10.1080/03081087.2024.2413635

Zhuo-Heng He, Andrii Dmytryshyn, Qing-Wen Wang

引用次数: 0

摘要

在本文中，我们推导出了一个新的两边西尔维斯特类耦合矩阵方程组的解存在的一些实际必要条件和充分条件，该方程组具有任意数量的...

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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A new system of sylvester-like matrix equations with arbitrary number of equations and unknowns over the quaternion algebra

In this paper, we derive some practical necessary and sufficient conditions for the existence of a solution to a new system of coupled two-sided Sylvester-like matrix equations with arbitrary numbe...

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.