Several Properties of the OROD Method for Solving the Sylvester Equation AXB+CX=D
Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (4): 50-56.
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Deng Jianping
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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
Deng Jianping.
Several Properties of the OROD Method for Solving the Sylvester Equation AXB+CX=D [J]. Mathematical Theory and Applications, 2016, 36(4): 50-56.
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https://mta.csu.edu.cn/EN/Y2016/V36/I4/50
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