J4 ›› 2010, Vol. 45 ›› Issue (10): 1-3.

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Least squares symmetric anti-reflexive solutions of the matrix equation AXAT=B

ZHAO Lin-lin1, CHEN Guo-liang1, ZHAO Jian-li2   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200241, China;
    2. College of Mathematics Science, Liaocheng University,  Liaocheng 252059, Shandong, China
  • Received:2009-12-11 Online:2010-10-16 Published:2010-10-19

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Abstract:

By applying the canonical correlation decomposition of matrix pairs, the general expression of the least squares symmetric anti-reflexive solution with a given symmetric orthogonal matrix P of the matrix equation AXAT=B is obtained.

Key words: matrix equation; least squares solution; canonical correlation decomposition

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