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Gabay, D. and Mercier, B. (1976) A Dual Algorithm for the Solution of Nonlinear Variational Problems via Finite Element Approximations. Computers & mathematics with applications, 2, 17-40.

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.