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

A note on unique solvability of the absolute value equation

2019 ◽  
Vol 14 (7) ◽  
pp. 1957-1960 ◽  
Author(s):  
Shi-Liang Wu ◽  
Cui-Xia Li
Keyword(s):  
Unique Solvability ◽  
Absolute Value Equation ◽  
Absolute Value ◽  
The Absolute

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.

A hybrid algorithm for solving the absolute value equation

2015 ◽  
Vol 9 (7) ◽  
pp. 1469-1474 ◽  
Author(s):  
Olvi L. Mangasarian
Keyword(s):  
Hybrid Algorithm ◽  
Absolute Value Equation ◽  
Absolute Value ◽  
The Absolute

scholarly journals Optimal error correction of the absolute value equation using a genetic algorithm

2013 ◽  
Vol 57 (9-10) ◽  
pp. 2339-2342 ◽  
Author(s):  
Saeed Ketabchi ◽  
Hossein Moosaei ◽  
Saeed Fallahi
Keyword(s):  
Genetic Algorithm ◽  
Error Correction ◽  
Absolute Value Equation ◽  
Optimal Error ◽  
Absolute Value ◽  
The Absolute
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