IJCNS> Vol.2 No.6, September 2009

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

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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.

Cite this paper

G. YUAN, Z. WANG and Z. WEI, "A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations," Int'l J. of Communications, Network and System Sciences, Vol. 2 No. 6, 2009, pp. 555-561. doi: 10.4236/ijcns.2009.26061.

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