Abstract
AbstractIn this paper, we present a class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations. The methods combine the RMIL conjugate gradient method, the strategy of hyperplane projection and the derivative-free line search technique. Under some appropriate assumptions, the global convergence of the given methods is established. Numerical experiments indicate that the proposed methods are effective.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Huzhou University
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference21 articles.
1. Ahookhosh, M., Amini, K., Bahrami, S.: Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations. Numer. Algorithms 64(1), 21–42 (2013)
2. Cheng, W.: A PRP type method for systems of monotone equations. Math. Comput. Model. 50(1–2), 15–20 (2009)
3. Cruz, W.: A spectral algorithm for large-scale systems of nonlinear monotone equations. Numer. Algorithms 76(4), 1109–1130 (2017)
4. Dai, Z., Chen, X., Wen, F.: A modified Perrys conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations. Appl. Math. Comput. 270, 378–386 (2015)
5. Dolan, E., Moré, J.: Benchmarking optimization software with performance profiles. Math. Program. 91(2), 201–213 (2001)
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