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A Modified Gradient Based Algorithm for Solving Matrix Equations

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  • Kanmin Wang
  • Zhibing Liu
  • Chengfeng Xu

Abstract

In this paper, we develop a modified gradient based algorithm for solving matrix equations . 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.

Suggested Citation

  • Kanmin Wang & Zhibing Liu & Chengfeng Xu, 2014. "A Modified Gradient Based Algorithm for Solving Matrix Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, February.
    • Handle: RePEc:hin:jnljam:954523
    DOI: 10.1155/2014/954523
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