An Alternating Direction Nonmonotone Approximate Newton Algorithm for Inverse Problems  

作　　者：Zhuhan Zhang Zhensheng Yu Xinyue Gan Zhuhan Zhang;Zhensheng Yu;Xinyue Gan(University of Shanghai for Science and Technology, Shanghai, China)

机构地区：[1]University of Shanghai for Science and Technology, Shanghai, China

出　　处：《Journal of Applied Mathematics and Physics》2016年第11期2069-2078,共11页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Nonmonotone Line Search Alternating Direction Method Bound-Constraints Newton Method 

分 类 号：O22[理学—运筹学与控制论]