An improved generalized Newton method for absolute value equations

作者：Feng, Jingmei^*; Liu, Sanyang

来源：SpringerPlus, 2016, 5(1): 1042.

DOI：10.1186/s40064-016-2720-5

• Absolute value equations
• Generalized Newton's method
• Global and local convergence

In this paper, we suggest and analyze an improved generalized Newton method for solving the NP-hard absolute value equations Ax - vertical bar x vertical bar = b 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.

• 出版日期2016-7-11
• 单位西安电子科技大学