RT - Journal Article
T1 - A Smoothing Technique for the Minimum Norm Solution of Absolute Value Equation
JF - JAMLU
YR - 2019
JO - JAMLU
VO - 16
IS - 1
UR - http://jamlu.liau.ac.ir/article-1-1608-en.html
SP - 1
EP - 9
K1 - Absolute Value Equation
K1 - Augmented Lagrangian Method
K1 - Minimum Norm Solution
K1 - Smoothing Techniques
AB - One of the issues that has been considered by the researchers in terms of theory and practice is the problem of finding minimum norm solution. In fact, in general, absolute value equation may have inﬁnitely many solutions. In such cases, the best and most natural choice is the solution with the minimum norm. In this paper, the minimum norm-1 solution of absolute value equation is investigated. By applying the augmented Lagrangian method, this problem can be reduced to an unconstrained optimization problem with once differentiable objective function. To use Newton method, we apply the smoothing techniques. Computational results show that convergence to high accuracy often occurs in just a few iterations.
LA eng
UL http://jamlu.liau.ac.ir/article-1-1608-en.html
M3
ER -