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2014 A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F
Kanmin Wang, Zhibing Liu, Chengfeng Xu
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/954523

Abstract

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.

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Kanmin Wang. Zhibing Liu. Chengfeng Xu. "A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F." J. Appl. Math. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/954523

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010805
MathSciNet: MR3176835
Digital Object Identifier: 10.1155/2014/954523

Rights: Copyright © 2014 Hindawi

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