In this paper, we introduce and analyze two new methods for solving the NP-hard absolute value equations (AVE) Ax−|x|=b, where A is an arbitrary n×n real matrix and b∈R^n, in the case, singular value of A exceeds. The comparison with other known methods is carried to show the effectiveness of the proposed methods for a variety of randomly generated problems. The ideas and techniques of this paper may stimulate further research.
کلید واژگان :
Absolute value equation , Generalized Newton method, Homotopy perturbation method, The successive linearization algorithm, Singular values
