On the SOR-like iteration method for solving absolute value equations

2019 ◽  
Vol 97 ◽  
pp. 107-113 ◽  
Author(s):  
Peng Guo ◽  
Shi-Liang Wu ◽  
Cui-Xia Li
2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Lin Zheng

AbstractIn this paper, we present the Picard-HSS-SOR iteration method for finding the solution of the absolute value equation (AVE), which is more efficient than the Picard-HSS iteration method for AVE. The convergence results of the Picard-HSS-SOR iteration method are proved under certain assumptions imposed on the involved parameter. Numerical experiments demonstrate that the Picard-HSS-SOR iteration method for solving absolute value equations is feasible and effective.


2017 ◽  
Vol 293 ◽  
pp. 156-167 ◽  
Author(s):  
Vahid Edalatpour ◽  
Davod Hezari ◽  
Davod Khojasteh Salkuyeh

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Cui-Xia Li ◽  
Shi-Liang Wu

Abstract In this paper, based on the shift splitting technique, a shift splitting (SS) iteration method is presented to solve the generalized absolute value equations. Convergence conditions of the SS method are discussed in detail when the involved matrices are some special matrices. Finally, numerical experiments show the effectiveness of the proposed method.


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