Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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THE (R,S)-SYMMETRIC SOLUTIONS TO THE LEAST-SQUARES PROBLEM OF MATRIX EQUATION AXB = C

  • Liang, Mao-Lin (College of Mathematics and Statistics, Tianshui Normal University) ;
  • Dai, Li-Fang (College of Mathematics and Statistics, Tianshui Normal University) ;
  • Wang, San-Fu (College of Mathematics and Statistics, Tianshui Normal University)
  • Published : 2009.09.30
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Abstract

For real generalized reflexive matrices R, S, i.e., $R^T$ = R, $R^2$ = I, $S^T$ = S, $S^2$ = I, we say that real matrix X is (R,S)-symmetric, if RXS = X. In this paper, an iterative algorithm is proposed to solve the least-squares problem of matrix equation AXB = C with (R,S)-symmetric X. Furthermore, the optimal approximation solution to given matrix $X_0$ is also derived by this iterative algorithm. Finally, given numerical example and its convergent curve show that this method is feasible and efficient.

Keywords

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