A MODIFIED SPECTRAL CONJUGATE GRADIENT METHOD FOR SOLVING UNCONSTRAINED MINIMIZATION PROBLEMS

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Date
2020
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Nigerian Mathematical Society
Abstract
The development a modified spectral conjugate gradient method for solving unconstrained minimization prob lems is considered in this paper. A new Conjugate (update) parameter isobtained by the idea of Dai-Kou’s technique for gen erating conjugate parameters. A new spectral parameter is also presented based on quasi-Newton direction and quasi-Newton condition. Under the strong Wolfe line search, the proposed method (DOO) is proved to be globally convergent. Numerical results showed that the algorithm takes lesser number of itera tions to obtain the minimum of a given function.
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