Author(s)

Zhuhan Zhang, Zhensheng Yu, Xinyue Gan

University of Shanghai for Science and Technology, Shanghai, China.

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.

Nonmonotone Line Search, Alternating Direction Method, Bound-Constraints, Newton Method

Zhang, Z. , Yu, Z. and Gan, X. (2016) An Alternating Direction Nonmonotone Approximate Newton Algorithm for Inverse Problems. Journal of Applied Mathematics and Physics, 4, 2069-2078. doi: 10.4236/jamp.2016.411206.