TITLE:
An Alternating Direction Nonmonotone Approximate Newton Algorithm for Inverse Problems
AUTHORS:
Zhuhan Zhang, Zhensheng Yu, Xinyue Gan
KEYWORDS:
Nonmonotone Line Search, Alternating Direction Method, Bound-Constraints, Newton Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.11,
November
30,
2016
ABSTRACT: In this paper, an alternating direction nonmonotone approximate Newton algorithm (ADNAN) based on nonmonotone line search is developed for solving inverse problems. It is shown that ADNAN converges to a solution of the inverse problems and numerical results provide the effectiveness of the proposed algorithm.