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A modified nonmonotone BFGS algorithm for unconstrained optimization

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In this paper, a modified BFGS algorithm is proposed for unconstrained optimization. The proposed algorithm has the following properties: (i) a nonmonotone line search technique is used to obtain the… Click to show full abstract

In this paper, a modified BFGS algorithm is proposed for unconstrained optimization. The proposed algorithm has the following properties: (i) a nonmonotone line search technique is used to obtain the step size αk$\alpha_{k}$ to improve the effectiveness of the algorithm; (ii) the algorithm possesses not only global convergence but also superlinear convergence for generally convex functions; (iii) the algorithm produces better numerical results than those of the normal BFGS method.

Keywords: nonmonotone bfgs; bfgs algorithm; unconstrained optimization; modified nonmonotone

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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