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Least-square Solutions of Inverse Problems for Anti-centrosymmetric Matrices

ZHOU Shuo1,2, GUO Li-jie2, WU Bai-sheng1   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China; 2. Department of Mathematicsand Physics, Northeast China Institute of Elect ric Power Engineering, Jilin 132012, China
  • Received:2003-03-25 Revised:1900-01-01 Online:2003-10-26 Published:2003-10-26
  • Contact: WU Bai-sheng

Abstract: The least-squares solutions of the inverse problem of anti-centrosymmetric matrices is discussed, and the expression of the solution is obtained. In addition, the problem of using anti-centrosymmetric matrices to construct the optimal approximation to a given matrix is discussed, the necess ary and sufficient conditions about the problem are derived, and the expression of the solution is provided.

Key words: anti-centrosymmetric, matrix norm, optimal approximation

CLC Number: 

  • O241.2