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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2023-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1321 |
| _version_ | 1797373502951522304 |
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| author | Shubham Kumar Deepmala Roshan Lal Keshtwal |
| author_facet | Shubham Kumar Deepmala Roshan Lal Keshtwal |
| author_sort | Shubham Kumar |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-03-08T18:51:23Z |
| format | Article |
| id | doaj.art-cd97bb8ae5024fb6b0d2a272b5b77d2e |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-03-08T18:51:23Z |
| publishDate | 2023-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-cd97bb8ae5024fb6b0d2a272b5b77d2e2023-12-28T19:43:19ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2023-12-0152210.33993/jnaat522-1321New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equationShubham Kumar0Deepmala1Roshan Lal Keshtwal2PDPM IIITDM Jabalpur, IndiaPDPM IIITDM Jabalpur, IndiaVSKC Government Postgraduate College Dakpathar, India 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. https://ictp.acad.ro/jnaat/journal/article/view/1321New class of Sylvester-like Absolute value matrix equationSufficient conditionUnique solution |
| spellingShingle | Shubham Kumar Deepmala Roshan Lal Keshtwal New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation Journal of Numerical Analysis and Approximation Theory New class of Sylvester-like Absolute value matrix equation Sufficient condition Unique solution |
| title | New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation |
| title_full | New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation |
| title_fullStr | New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation |
| title_full_unstemmed | New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation |
| title_short | New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation |
| title_sort | new sufficient conditions for the solvability of a new class of sylvester like absolute value matrix equation |
| topic | New class of Sylvester-like Absolute value matrix equation Sufficient condition Unique solution |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1321 |
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