%0 Journal Article
%T Augmented Lagrangian Method for Finding Minimum Norm Solution to the Absolute Value Equation
%J Iranian Journal of Numerical Analysis and Optimization
%I Ferdowsi University of Mashhad
%Z 2423-6977
%A Ketabchi, S.
%A Moosaei, H.
%D 2017
%\ 10/01/2017
%V 7
%N 2
%P 57-64
%! Augmented Lagrangian Method for Finding Minimum Norm Solution to the Absolute Value Equation
%K Absolute value equation
%K Minimum norm solution
%K Generalized Newton method
%K Augmented Lagrangian method
%R 10.22067/ijnao.v7i2.57912
%X In this paper, we give an algorithm to compute the minimum 1-norm solution to the absolute value equation (AVE). The augmented Lagrangian method is investigated for solving this problems . This approach leads to an unconstrained minimization problem with once differentiable convex objective function. We propose a quasi-Newton method for solving unconstrained optimization problem. Computational results show that convergence to high accuracy often occurs in just a few iterations.
%U https://ijnao.um.ac.ir/article_24567_25c1b6aedf63ce96172f888d48396484.pdf