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

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 A special shift splitting iteration method for absolute value equation

2020 ◽  
Vol 5 (5) ◽  
pp. 5171-5183
Author(s):  
ShiLiang Wu ◽  
◽  
CuiXia Li
Keyword(s):  
Iteration Method ◽  
Absolute Value Equation ◽  
Absolute Value ◽  
Splitting Iteration Method

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 Students Mathematical Discourse Analysis by Commognition Theory in Solving Absolute Value Equation

2021 ◽  
Vol 1808 (1) ◽  
pp. 012065
Author(s):  
Z Nisa ◽  
A Lukito ◽  
Masriyah
Keyword(s):  
Discourse Analysis ◽  
Mathematical Discourse ◽  
Absolute Value Equation ◽  
Absolute Value

On unique solvability of the absolute value equation

2009 ◽  
Vol 3 (4) ◽  
pp. 603-606 ◽  
Author(s):  
Jiri Rohn
Keyword(s):  
Unique Solvability ◽  
Absolute Value Equation ◽  
Absolute Value ◽  
The Absolute

scholarly journals Absolute value equation solution via dual complementarity

2012 ◽  
Vol 7 (4) ◽  
pp. 625-630 ◽  
Author(s):  
Olvi L. Mangasarian
Keyword(s):  
Absolute Value Equation ◽  
Equation Solution ◽  
Absolute Value
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