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P. N. Brown and Y. Saad, “Convergence Theory of Nonlinear Newton-Krylov Algorithms,” SIAM Journal on Optimization, Vol. 4, 1994, pp. 297-330.

has been cited by the following article:

• TITLE: A Nonmonotone Line Search Method for Symmetric Nonlinear Equations

  AUTHORS: Gonglin Yuan, Laisheng Yu

  KEYWORDS: Nonmonotone Line Search, Symmetric Equations, Global Convergence

  JOURNAL NAME: Intelligent Control and Automation, Vol.1 No.1, August 27, 2010

  ABSTRACT: In this paper, we propose a new method which based on the nonmonotone line search technique for solving symmetric nonlinear equations. The method can ensure that the search direction is descent for the norm function. Under suitable conditions, the global convergence of the method is proved. Numerical results show that the presented method is practicable for the test problems.