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Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2010/106192
Publisher: Hindawi Publishing Corporation
Keywords: Matrix Convolution; Iterative method; Box convolution
Depositing User: Najwani Amir Sariffudin
Date Deposited: 16 Oct 2013 04:18
Last Modified: 20 Oct 2017 03:09
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2010/106192
URI: http://psasir.upm.edu.my/id/eprint/15838
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