title: An improved generalized Newton method for absolute value equations.
abstract: In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations [Formula: see text] when the singular values of A exceed 1. We show that the global and local quadratic convergence of the proposed method. Numerical experiments show the efficiency of the method and the high accuracy of calculation.
authors.affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710126 China ; Department of Engineering Management, Shaanxi Radio and TV University, Xi'an, 710119 China.
authors.forename: Jingmei
authors.initials: J
authors.lastname: Feng
authors.affiliation: School of Mathematics and Statistics, Xidian University, Xi'an, 710126 China.
authors.forename: Sanyang
authors.initials: S
authors.lastname: Liu
keywords: Absolute value equations; Generalized Newton’s method; Global and local convergence