Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product
We define the so-called box convolution product and study their properties in order to present the approximate solutions for the general coupled matrix convolution equations by using iterative methods. Furthermore, we prove that these solutions consistently converge to the exact solutions and indepe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15838/1/15838.pdf |
| _version_ | 1825945699051634688 |
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| author | Kilicman, Adem Al-Zhour, Zeyad |
| author_facet | Kilicman, Adem Al-Zhour, Zeyad |
| author_sort | Kilicman, Adem |
| collection | UPM |
| description | We define the so-called box convolution product and study their properties in order to present the approximate solutions for the general coupled matrix convolution equations by using iterative methods. Furthermore, we prove that these solutions consistently converge to the exact solutions and independent of the initial value. |
| first_indexed | 2024-03-06T07:35:32Z |
| format | Article |
| id | upm.eprints-15838 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T07:35:32Z |
| publishDate | 2010 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-158382017-10-20T03:09:02Z http://psasir.upm.edu.my/id/eprint/15838/ Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product Kilicman, Adem Al-Zhour, Zeyad We define the so-called box convolution product and study their properties in order to present the approximate solutions for the general coupled matrix convolution equations by using iterative methods. Furthermore, we prove that these solutions consistently converge to the exact solutions and independent of the initial value. Hindawi Publishing Corporation 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15838/1/15838.pdf Kilicman, Adem and Al-Zhour, Zeyad (2010) Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product. Abstract and Applied Analysis, 2010. art. no. 106192. pp. 1-16. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2010/106192/abs/ 10.1155/2010/106192 |
| spellingShingle | Kilicman, Adem Al-Zhour, Zeyad Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product |
| title | Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product |
| title_full | Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product |
| title_fullStr | Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product |
| title_full_unstemmed | Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product |
| title_short | Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product |
| title_sort | note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product |
| url | http://psasir.upm.edu.my/id/eprint/15838/1/15838.pdf |
| work_keys_str_mv | AT kilicmanadem noteonthenumericalsolutionsofthegeneralmatrixconvolutionequationsbyusingtheiterativemethodsandboxconvolutionproduct AT alzhourzeyad noteonthenumericalsolutionsofthegeneralmatrixconvolutionequationsbyusingtheiterativemethodsandboxconvolutionproduct |