Journal of Qujing Normal University ›› 2021, Vol. 40 ›› Issue (3): 5-10.

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Minimal Frobenius Norm Generalized Symmetry Solution of a Class of Matrix Equations

ZHANG Feng   

  1. Department of Navigation,Anhui Communications Vocational and Technical College,Hefei Anhui 230051,China
  • Received:2021-02-08 Online:2021-05-26 Published:2021-07-13

Abstract: The process of solving a class of matrix equations with minimal Frobenius parametric dual symmetry is susceptible to the influence of central symmetry and slow in solving. The methods of setting a class of matrix equations centrosymmetry constraints, using it as the basis of the iterative solution process, transforming the matrix equations into the form of a system of equations, and setting the corresponding iterative solution method are moreefficient The data solution obtained by iteration can be regarded as the minimal Frobenius parametric generalized bisymmetric solution of the system of matrix equations, and construct the approximation method to complete the solution calculation process. A comparative experimental session is constructed and the computational speed of this method is improved and it is used more effectively.

Key words: matrix equations, least squares solutions, best approximation, iterative computation

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