Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 21, Pages 8343-8353Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.02.113
Keywords
Iterative algorithm; Conjugate; Transpose; Complex matrix equations; Real representation; 2-Norm
Categories
Funding
- Basic Research Plan in Shenzhen City [JC201005260145A]
- National Natural Science Foundation of China [60974044, 61074111]
- Research Grants Council of The Hong Kong Special Administrative Region [CityU 113708]
- Guangdong Natural Science Foundation [10451805707004154]
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This paper is concerned with iterative solutions to a class of complex matrix equations, which include some previously investigated matrix equations as special cases. By applying the hierarchical identification principle, an iterative algorithm is constructed to solve this class of matrix equations. A sufficient condition is presented to guarantee that the proposed algorithm is convergent for an arbitrary initial matrix with a real representation of a complex matrix as tools. By using some properties of the real representation, a convergence condition that is easier to compute is also given in terms of original coefficient matrices. A numerical example is employed to illustrate the effectiveness of the proposed methods. (C) 2011 Elsevier Inc. All rights reserved.
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