Maximum entropy Newton method for absolute value equations
基于极大熵牛顿法求解绝对值方程

Aimed at the solution to the absolute value equationsAVE Ax-|x|=b, this paper proposed a new method for solving the AVE under the condition that all singular values of A exceed one. First, using the maximum entropy function, transformed the AVE into smooth nonlinear equations. Then used the maximum entropy Newton method to solve this problem. Numerical results indicate that the method is feasible and effective to AVE.