On developing a stable and quadratic convergent method for solving absolute value equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:330

Article

Zainali, Nahid¹  Lotfi, Taher¹ 

[1] Islamic Azad Univ, Hamedan Branch, Dept Appl Math, Hamadan, Iran

关键词: Nonlinear systems;    Absolute value equation;    Iterative method;    Numerical stability;    Convergence order;   

DOI  :  10.1016/j.cam.2017.07.009

来源: Elsevier

【 摘 要 】

We modify the generalized Newton method, proposed by Mangasarian (2007), for solving NP-complete absolute value equation, so that it is numerically stable and has convergence order two. Moreover, the convergence conditions are weaker than already iterative methods, hence this method can be applied to a broad range of problems. Applicability of the proposed method is tested for various examples.

【 授权许可】

Free