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Hager, W. and Zhang, H.-C. (2015) An Alternating Direction Approximate Newton Algorithm for Ill-Conditioned Inverse Problems with Application to Parallel MRI. Journal of the Operational Research Society of China, 3, 139-162.

has been cited by the following article:

• 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.