A shift-splitting hierarchical identification iterative algorithm for solving the matrix equation AX−X‾B=C
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| Publicado en: | Advances in Continuous and Discrete Models vol. 2025, no. 1 (Dec 2025), p. 97 |
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| Publicado: |
Springer Nature B.V.
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| Acceso en línea: | Citation/Abstract Full Text - PDF |
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| 245 | 1 | |a A shift-splitting hierarchical identification iterative algorithm for solving the matrix equation AX−X‾B=C | |
| 260 | |b Springer Nature B.V. |c Dec 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a Based on the Hermitian and skew Hermitian splitting of the coefficient matrices, we demonstrate a shift-splitting hierarchical identification (SSHI) iterative algorithm to solve the matrix equation AX−X‾B=C<inline-graphic specific-use="web" mime-subtype="GIF" xlink:href="13662_2024_3849_Article_IEq1.gif" />. For any initial value, the suggested method converges to the exact solution under certain conditions. Three numerical examples are presented to demonstrate the effectiveness of the shift-splitting hierarchical identification (SSHI) iterative method and to compare it to the Jacobi-gradient iterative algorithm (JGI) (Bayoumi in Appl. Math. Inf. Sci. (2021)) and the gradient iterative algorithm (GI). | |
| 653 | |a Exact solutions | ||
| 653 | |a Iterative algorithms | ||
| 653 | |a Splitting | ||
| 653 | |a Iterative methods | ||
| 653 | |a Ramadan | ||
| 653 | |a Algorithms | ||
| 653 | |a Identification | ||
| 653 | |a Education | ||
| 773 | 0 | |t Advances in Continuous and Discrete Models |g vol. 2025, no. 1 (Dec 2025), p. 97 | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3204119744/abstract/embedded/75I98GEZK8WCJMPQ?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3204119744/fulltextPDF/embedded/75I98GEZK8WCJMPQ?source=fedsrch |