Solving the Singular Semi-Sylvester Equation Using Drazin-Inverse and DGMRES Algorithm

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Turkish Journal of Mathematics and Computer Science
Volume:11 Issue:1
Solving the Singular Semi-Sylvester Equation Using Drazin-Inverse and DGMRES Algorithm

Solving the Singular Semi-Sylvester Equation Using Drazin-Inverse and DGMRES Algorithm

Authors : Majid ADİB

Pages : 1-7

View : 13 | Download : 11

Publication Date : 2019-06-30

Article Type : Research Paper

Abstract :In this paper, we want to solve the singular semi-Sylvester equation using the Drazin-inverse and the Drazin-inverse generalized minimum residual method insert ignore into journalissuearticles values(DGMRESinsert ignore into journalissuearticles values(m); algorithm);. First, we transform the semi-Sylvester equation into a multiple linear systems. Then, we present the conditions and assumptions needed to apply the DGMRESinsert ignore into journalissuearticles values(m); algorithm. We compare our proposed method with the Galerkin projection method in point of view CPU-time, accuracy and iteration number. Finally, by some numerical experiments, we show the efficiency of the proposed method.
Keywords : Semi Sylvester equations, Multiple linear systems, DGM RES algorithm

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