Residual Iterative Method for Solving Absolute Value Equations
We suggest and analyze a residual iterative method for solving absolute value equations Ax-x=b where A∈Rn×n, b∈Rn are given and x∈Rn is unknown, using the projection technique. We also discuss the convergence of the proposed method. Several examples are given to illustrate the implementation and eff...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/406232 |
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| _version_ | 1832563156463910912 |
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| author | Muhammad Aslam Noor Javed Iqbal Eisa Al-Said |
| author_facet | Muhammad Aslam Noor Javed Iqbal Eisa Al-Said |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | We suggest and analyze a residual iterative method for solving absolute value equations Ax-x=b where A∈Rn×n, b∈Rn are given and x∈Rn is unknown, using the projection technique. We also discuss the convergence of the proposed method. Several examples are given to illustrate the implementation and efficiency of the method. Comparison with other methods is also given. Results proved in this paper may stimulate further research in this fascinating field. |
| format | Article |
| id | doaj-art-739a62714ae54f4f8b5a962410e13d24 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-739a62714ae54f4f8b5a962410e13d242025-02-03T01:20:55ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/406232406232Residual Iterative Method for Solving Absolute Value EquationsMuhammad Aslam Noor0Javed Iqbal1Eisa Al-Said2Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanMathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanMathematics Department, College of Science, King Saud University, Riyadh, Saudi ArabiaWe suggest and analyze a residual iterative method for solving absolute value equations Ax-x=b where A∈Rn×n, b∈Rn are given and x∈Rn is unknown, using the projection technique. We also discuss the convergence of the proposed method. Several examples are given to illustrate the implementation and efficiency of the method. Comparison with other methods is also given. Results proved in this paper may stimulate further research in this fascinating field.http://dx.doi.org/10.1155/2012/406232 |
| spellingShingle | Muhammad Aslam Noor Javed Iqbal Eisa Al-Said Residual Iterative Method for Solving Absolute Value Equations Abstract and Applied Analysis |
| title | Residual Iterative Method for Solving Absolute Value Equations |
| title_full | Residual Iterative Method for Solving Absolute Value Equations |
| title_fullStr | Residual Iterative Method for Solving Absolute Value Equations |
| title_full_unstemmed | Residual Iterative Method for Solving Absolute Value Equations |
| title_short | Residual Iterative Method for Solving Absolute Value Equations |
| title_sort | residual iterative method for solving absolute value equations |
| url | http://dx.doi.org/10.1155/2012/406232 |
| work_keys_str_mv | AT muhammadaslamnoor residualiterativemethodforsolvingabsolutevalueequations AT javediqbal residualiterativemethodforsolvingabsolutevalueequations AT eisaalsaid residualiterativemethodforsolvingabsolutevalueequations |