Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns

  • Authors:

  • Ai-Guo Wu;Gang Feng;Guang-Ren Duan;Wei-Jun Wu

  • Affiliations:

  • Information and Control Research Center, Harbin Institute of Technology Shenzhen Graduate School, Shenzhen 518055, PR China and Department of Manufacturing Engineering and Engineering Management, ...;Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Kowloon, Hong Kong and Nanjing University of Science and Technology, Nanjing 210094, PR China;Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, PR China;National Key Laboratory of Antennas and Microwave Technology, Xidian University, Xi'an 710071, PR China

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2010

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Abstract

This paper is concerned with a class of complex matrix equations, in which there exist the conjugate and the transpose of the unknown matrices. The considered matrix equation includes some previously investigated matrix equations as its special cases. An iterative algorithm is presented for solving this class of matrix equations. When the matrix equation is consistent, a solution can be obtained within finite iteration steps for any initial values in the absence of round-off errors. A numerical example is given to illustrate the effectiveness of the proposed method.