Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631081 | Applied Mathematics and Computation | 2011 | 11 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ai-Guo Wu, Lingling Lv, Guang-Ren Duan,