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

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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.

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G. YUAN, Z. WANG and Z. WEI, "A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations,"

*International Journal of Communications, Network and System Sciences*, Vol. 2 No. 6, 2009, pp. 555-561. doi: 10.4236/ijcns.2009.26061.

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