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R. Fletcher, “Practical Methods of Optimization, John Wiley and Sons,” New York, 1987.

has been cited by the following article:

• TITLE: An Improved Line Search and Trust Region Algorithm

  AUTHORS: Qinghua Zhou, Yarui Zhang, Xiaoli Zhang

  KEYWORDS: Trust Region Algorithms; Trust Region Subproblem; Line Search; Unconstrained Optimization

  JOURNAL NAME: Journal of Software Engineering and Applications, Vol.6 No.5B, October 12, 2013

  ABSTRACT: In this paper, we present a new line search and trust region algorithm for unconstrained optimization problems. The trust region center locates at somewhere in the negative gradient direction with the current best iterative point being on the boundary. By doing these, the trust region subproblems are constructed at a new way different with the traditional ones. Then, we test the efficiency of the new line search and trust region algorithm on some standard benchmarking. The computational results reveal that, for most test problems, the number of function and gradient calculations are reduced significantly.