The Four-Parameter PSS Method for Solving the Sylvester Equation
Department of Mathematics, College of Sciences, Northeastern University, Shenyang 110819, China
Author to whom correspondence should be addressed.
Received: 16 November 2018 / Revised: 20 December 2018 / Accepted: 26 December 2018 / Published: 20 January 2019
In order to solve the Sylvester equations more efficiently, a new four parameters positive and skew-Hermitian splitting (FPPSS) iterative method is proposed in this paper based on the previous research of the positive and skew-Hermitian splitting (PSS) iterative method. We prove that when coefficient matrix
satisfy certain conditions, the FPPSS iterative method is convergent in the parameter’s value region. The numerical experiment results show that compared with previous iterative method, the FPPSS iterative method is more effective in terms of iteration number IT and runtime.
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MDPI and ACS Style
Shen, H.-L.; Li, Y.-R.; Shao, X.-H. The Four-Parameter PSS Method for Solving the Sylvester Equation. Mathematics 2019, 7, 105.
Shen H-L, Li Y-R, Shao X-H. The Four-Parameter PSS Method for Solving the Sylvester Equation. Mathematics. 2019; 7(1):105.
Shen, Hai-Long; Li, Yan-Ran; Shao, Xin-Hui. 2019. "The Four-Parameter PSS Method for Solving the Sylvester Equation." Mathematics 7, no. 1: 105.
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