scholarly journals Solving absolute value equation using complementarity and smoothing functions

2018 ◽  
Vol 327 ◽  
pp. 196-207 ◽  
Author(s):  
L. Abdallah ◽  
M. Haddou ◽  
T. Migot
Keyword(s):  
Absolute Value Equation ◽  
Absolute Value ◽  
Smoothing Functions

Unified smoothing functions for absolute value equation associated with second-order cone

2019 ◽  
Vol 135 ◽  
pp. 206-227 ◽  
Author(s):  
Chieu Thanh Nguyen ◽  
B. Saheya ◽  
Yu-Lin Chang ◽  
Jein-Shan Chen
Keyword(s):  
Second Order ◽  
Absolute Value Equation ◽  
Absolute Value ◽  
Second Order Cone ◽  
Smoothing Functions

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
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