Block-Diagonal and Anti-block-Diagonal Splitting Iteration Method for Absolute Value Equation

2021 ◽  
pp. 572-581
Author(s):  
Cui-Xia Li ◽  
Shi-Liang Wu
Keyword(s):  
Iteration Method ◽  
Absolute Value Equation ◽  
Absolute Value ◽  
Splitting Iteration Method ◽  
Block Diagonal

scholarly journals Modified BAS iteration method for absolute value equation

2021 ◽  
Vol 7 (1) ◽  
pp. 606-616
Author(s):  
Cui-Xia Li ◽  
◽  
Long-Quan Yong ◽  
Keyword(s):  
Theoretical Analysis ◽  
Numerical Solution ◽  
Iteration Method ◽  
Numerical Experiments ◽  
Convergence Speed ◽  
Absolute Value Equation ◽  
Absolute Value ◽  
The Absolute ◽  
Block Diagonal

<abstract><p>In this paper, to improve the convergence speed of the block-diagonal and anti-block-diagonal splitting (BAS) iteration method, we design a modified BAS (MBAS) method to obtain the numerical solution of the absolute value equation. Theoretical analysis shows that under certain conditions the MBAS method is convergent. Numerical experiments show that the MBAS method is feasible.</p></abstract>

scholarly journals The Picard-HSS-SOR iteration method for absolute value equations

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Lin Zheng
Keyword(s):  
Iteration Method ◽  
Numerical Experiments ◽  
Absolute Value Equation ◽  
Absolute Value Equations ◽  
Absolute Value ◽  
Convergence Results ◽  
Hss Iteration ◽  
The Absolute ◽  
Hss Iteration Method

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.

scholarly journals On Picard-SHSS iteration method for absolute value equation

2021 ◽  
Vol 6 (2) ◽  
pp. 1743-1753
Author(s):  
Shu-Xin Miao ◽  
◽  
Xiang-Tuan Xiong ◽  
Jin Wen
Keyword(s):  
Iteration Method ◽  
Absolute Value Equation ◽  
Absolute Value

A Shift Splitting Iteration Method for Generalized Absolute Value Equations

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Cui-Xia Li ◽  
Shi-Liang Wu
Keyword(s):  
Iteration Method ◽  
Numerical Experiments ◽  
Absolute Value Equations ◽  
Convergence Conditions ◽  
Absolute Value ◽  
Splitting Technique ◽  
Splitting Iteration Method ◽  
Generalized Absolute Value Equations

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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