Open Access
2014 Iterative Solutions of a Set of Matrix Equations by Using the Hierarchical Identification Principle
Huamin Zhang
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/649524

Abstract

This paper is concerned with iterative solution to a class of the real coupled matrix equations. By using the hierarchical identification principle, a gradient-based iterative algorithm is constructed to solve the real coupled matrix equations A1XB1+A2XB2=F1 and C1XD1+C2XD2=F2. The range of the convergence factor is derived to guarantee that the iterative algorithm is convergent for any initial value. The analysis indicates that if the coupled matrix equations have a unique solution, then the iterative solution converges fast to the exact one for any initial value under proper conditions. A numerical example is provided to illustrate the effectiveness of the proposed algorithm.

Citation

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Huamin Zhang. "Iterative Solutions of a Set of Matrix Equations by Using the Hierarchical Identification Principle." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/649524

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022826
MathSciNet: MR3208556
Digital Object Identifier: 10.1155/2014/649524

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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