G. L. Yuan, X. W. Lu, and Z. X. Wei, “BFGS trust-region method for symmetric nonlinear equations,” Journal of Computational and Applied Mathematics, No. 230, pp. 44–58, 2009.

has been cited by the following article:

• TITLE: A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations

  AUTHORS: Gonglin YUAN, Zhongxing WANG, Zengxin WEI

  KEYWORDS: Rank-One Update, Global Convergence, Nonlinear Equations, Descent Direction

  JOURNAL NAME: International Journal of Communications, Network and System Sciences, Vol.2 No.6, September 22, 2009

  ABSTRACT: In this paper, a rank-one updated method for solving symmetric nonlinear equations is proposed. This method possesses some features: 1) The updated matrix is positive definite whatever line search technique is used; 2) The search direction is descent for the norm function; 3) The global convergence of the given method is established under reasonable conditions. Numerical results show that the presented method is interesting.