The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality Constraint
We propose a feasible and effective iteration method to find solutions to the matrix equation AXB=C subject to a matrix inequality constraint DXE≥F, where DXE≥F means that the matrix DXE-F is nonnegative. And the global convergence results are obtained. Some numerical results are reported to illustr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/705830 |
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| _version_ | 1832558856764391424 |
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| author | Na Huang Changfeng Ma |
| author_facet | Na Huang Changfeng Ma |
| author_sort | Na Huang |
| collection | DOAJ |
| description | We propose a feasible and effective iteration method to find solutions to the matrix equation AXB=C subject to a matrix inequality constraint DXE≥F, where DXE≥F means that the matrix DXE-F is nonnegative. And the global convergence results are obtained. Some numerical results are reported to illustrate the applicability of the method. |
| format | Article |
| id | doaj-art-4832e6f0b6884bbca93509c4983f0afe |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4832e6f0b6884bbca93509c4983f0afe2025-02-03T01:31:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/705830705830The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality ConstraintNa Huang0Changfeng Ma1School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, ChinaSchool of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, ChinaWe propose a feasible and effective iteration method to find solutions to the matrix equation AXB=C subject to a matrix inequality constraint DXE≥F, where DXE≥F means that the matrix DXE-F is nonnegative. And the global convergence results are obtained. Some numerical results are reported to illustrate the applicability of the method.http://dx.doi.org/10.1155/2014/705830 |
| spellingShingle | Na Huang Changfeng Ma The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality Constraint Abstract and Applied Analysis |
| title | The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality Constraint |
| title_full | The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality Constraint |
| title_fullStr | The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality Constraint |
| title_full_unstemmed | The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality Constraint |
| title_short | The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality Constraint |
| title_sort | iteration solution of matrix equation axb c subject to a linear matrix inequality constraint |
| url | http://dx.doi.org/10.1155/2014/705830 |
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