New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation

Shubham Kumar, Deepmala, Roshan Lal Keshtwal
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Abstract

In this article, some new sufficient conditions for the unique solvability of a new class of Sylvester-like absolute value matrix equation \(AXB - \vert CXD \vert =F\) are given. This work is distinct from the published work by Li [Journal of Optimization Theory and Application, 195(2), 2022]. Some new conditions were also obtained, which were not covered by Li. We also provided an example in support of our result.
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一类新的西尔维斯特类绝对值矩阵方程可解性的新充分条件
本文给出了一类新的西尔维斯特类绝对值矩阵方程 \(AXB -\vert CXD \vert =F/)的唯一可解性的一些新的充分条件。这项工作有别于 Li [Journal of Optimization Theory and Application, 195(2), 2022] 已发表的工作。我们还得到了一些新的条件,这些条件是 Li 没有涉及到的。我们还提供了一个例子来支持我们的结果。
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