A globally convergent derivative-free method for solving large-scale nonlinear monotone equations

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Abstract

In this paper, we propose two derivative-free iterative methods for solving nonlinear monotone equations, which combines two modified HS methods with the projection method in Solodov and Svaiter (1998) [5]. The proposed methods can be applied to solve nonsmooth equations. They are suitable to large-scale equations due to their lower storage requirement. Under mild conditions, we show that the proposed methods are globally convergent. The reported numerical results show that the methods are efficient. © 2010 Elsevier B.V. All rights reserved.

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Yan, Q. R., Peng, X. Z., & Li, D. H. (2010). A globally convergent derivative-free method for solving large-scale nonlinear monotone equations. Journal of Computational and Applied Mathematics, 234(3), 649–657. https://doi.org/10.1016/j.cam.2010.01.001

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