A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F

In this paper, we develop a modified gradient based algorithm for solving matrix equations AXB+CXTD=F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution...

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Bibliographic Details
Published in:Journal of applied mathematics 2014, Vol.2014 (2014), p.1-6
Main Authors: Wang, Kanmin, Liu, Zhibing, Xu, Chengfeng
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper, we develop a modified gradient based algorithm for solving matrix equations AXB+CXTD=F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/954523