Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014 (2014), Article ID 649524, 10 pages.
Iterative Solutions of a Set of Matrix Equations by Using the Hierarchical Identification Principle
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 and . 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.
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 649524, 10 pages.
First available in Project Euclid: 2 October 2014
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Zhang, Huamin. Iterative Solutions of a Set of Matrix Equations by Using the Hierarchical Identification Principle. Abstr. Appl. Anal. 2014 (2014), Article ID 649524, 10 pages. doi:10.1155/2014/649524. https://projecteuclid.org/euclid.aaa/1412276962