A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = b
Recently, Tian et al. [Computers and Mathematics with Applications, 75(2018): 2710-2722] came up with the inner-outer iterative method to solve the linear equation Ax=b and studied the corresponding convergence of the method. In this paper, we improve the main results of the inner-outer method and g...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/1832589 |
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| _version_ | 1849408892807675904 |
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| author | Li-Tao Zhang Xian-Yu Zuo Tong-Xiang Gu Yan-Ping Wang Yi-Fan Zhang Jian-Lei Li Sheng-Kun Li |
| author_facet | Li-Tao Zhang Xian-Yu Zuo Tong-Xiang Gu Yan-Ping Wang Yi-Fan Zhang Jian-Lei Li Sheng-Kun Li |
| author_sort | Li-Tao Zhang |
| collection | DOAJ |
| description | Recently, Tian et al. [Computers and Mathematics with Applications, 75(2018): 2710-2722] came up with the inner-outer iterative method to solve the linear equation Ax=b and studied the corresponding convergence of the method. In this paper, we improve the main results of the inner-outer method and get weaker convergence results. Moreover, the parameters can be adjusted suitably so that the convergence property of the method can be substantially improved. |
| format | Article |
| id | doaj-art-7ed71ee1b8d7464c8e74d5b917455bce |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7ed71ee1b8d7464c8e74d5b917455bce2025-08-20T03:35:40ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/18325891832589A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = bLi-Tao Zhang0Xian-Yu Zuo1Tong-Xiang Gu2Yan-Ping Wang3Yi-Fan Zhang4Jian-Lei Li5Sheng-Kun Li6School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, Henan 450015, ChinaHenan Key Laboratory of Big Data Analysis and Processing, Henan University, Kaifeng 475004, ChinaLaboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, ChinaSchool of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, Henan 450015, ChinaSchool of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou, Henan 450015, ChinaCollege of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, Henan 450011, ChinaCollege of Applied Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan 610225, ChinaRecently, Tian et al. [Computers and Mathematics with Applications, 75(2018): 2710-2722] came up with the inner-outer iterative method to solve the linear equation Ax=b and studied the corresponding convergence of the method. In this paper, we improve the main results of the inner-outer method and get weaker convergence results. Moreover, the parameters can be adjusted suitably so that the convergence property of the method can be substantially improved.http://dx.doi.org/10.1155/2020/1832589 |
| spellingShingle | Li-Tao Zhang Xian-Yu Zuo Tong-Xiang Gu Yan-Ping Wang Yi-Fan Zhang Jian-Lei Li Sheng-Kun Li A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = b Journal of Mathematics |
| title | A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = b |
| title_full | A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = b |
| title_fullStr | A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = b |
| title_full_unstemmed | A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = b |
| title_short | A Note on the Inner-Outer Iterative Method for Solving the Linear Equation Ax = b |
| title_sort | note on the inner outer iterative method for solving the linear equation ax b |
| url | http://dx.doi.org/10.1155/2020/1832589 |
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