Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (4): 50-56.

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Several Properties of the OROD Method for Solving the Sylvester Equation AXB+CX=D

Deng Jianping   

  1. School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410014,China
  • Online:2016-12-30 Published:2020-09-25

Abstract: This paper presents several properties of the OROD iterative method(orthogonal residual method and the orthogonal direction method)for solving the Sylvester equation AXB+CX= D.It is showed that the corresponding error sequence decreases monotonely.The minimization property of the method is precisely characterized.A numerical example is presented in the end.

Key words: Generalized conjugate gradient method, Sylvester equation, Convergence