Abstract and Applied Analysis

Note on the Numerical Solutions of the General Matrix Convolution Equations by Using the Iterative Methods and Box Convolution Product

Adem Kılıçman and Zeyad Al zhour

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 106192, 16 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620707

Digital Object Identifier
doi:10.1155/2010/106192

Mathematical Reviews number (MathSciNet)
MR2607124

Zentralblatt MATH identifier
1188.65057

Citation

Kılıçman, Adem; Al zhour, Zeyad. Note on the Numerical Solutions of the General Matrix Convolution Equations by Using the Iterative Methods and Box Convolution Product. Abstr. Appl. Anal. 2010 (2010), Article ID 106192, 16 pages. doi:10.1155/2010/106192. https://projecteuclid.org/euclid.aaa/1288620707


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