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

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...

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Bibliographic Details
Published inJournal of numerical analysis and approximation theory Vol. 52; no. 2; pp. 233 - 240
Main Authors Kumar, Shubham, Deepmala, Keshtwal, Roshan Lal
Format Journal Article
LanguageEnglish
Published Publishing House of the Romanian Academy 28.12.2023
Subjects
New class of Sylvester-like Absolute value matrix equation
Sufficient condition
Unique solution
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Summary: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.
ISSN:2457-6794
2501-059X
DOI:10.33993/jnaat522-1321