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.