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Powell, M.J.D. (1975) Convergence properties of a class of minimization algorithms. Mangasarian, O.L., Meyer, R.R. and Robinson, S.M., Ed., Nonlinear Programming, Academic Press, New York, 2, 1-27.

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• TITLE: A nonmonotone adaptive trust-region algorithm for symmetric nonlinear equations

  AUTHORS: Gong-Lin Yuan, Cui-Ling Chen, Zeng-Xin Wei

  KEYWORDS: Trust Region Method; Global Con-vergence; Symmetric Nonlinear Equations

  JOURNAL NAME: Natural Science, Vol.2 No.4, May 7, 2010

  ABSTRACT: In this paper, we propose a nonmonotone adap-tive trust-region method for solving symmetric nonlinear equations problems. The convergent result of the presented method will be estab-lished under favorable conditions. Numerical results are reported.