A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations

Mohammed Yusuf Waziri and Jamilu Sabi’u

International Journal of Mathematics and Mathematical Sciences, 2015, vol. 2015, 1-8

Abstract:

We suggest a conjugate gradient (CG) method for solving symmetric systems of nonlinear equations without computing Jacobian and gradient via the special structure of the underlying function. This derivative-free feature of the proposed method gives it advantage to solve relatively large-scale problems (500,000 variables) with lower storage requirement compared to some existing methods. Under appropriate conditions, the global convergence of our method is reported. Numerical results on some benchmark test problems show that the proposed method is practically effective.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:961487

DOI: 10.1155/2015/961487

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