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2013 A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints
Sheng Wang, Hongbo Guan
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/286486

Abstract

Based on the Scaled conjugate gradient (SCALCG) method presented by Andrei (2007) and the projection method presented by Solodov and Svaiter, we propose a SCALCG method for solving monotone nonlinear equations with convex constraints. SCALCG method can be regarded as a combination of conjugate gradient method and Newton-type method for solving unconstrained optimization problems. So, it has the advantages of the both methods. It is suitable for solving large-scale problems. So, it can be applied to solving large-scale monotone nonlinear equations with convex constraints. Under reasonable conditions, we prove its global convergence. We also do some numerical experiments show that the proposed method is efficient and promising.

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Sheng Wang. Hongbo Guan. "A Scaled Conjugate Gradient Method for Solving Monotone Nonlinear Equations with Convex Constraints." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/286486

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950598
MathSciNet: MR3138934
Digital Object Identifier: 10.1155/2013/286486

Rights: Copyright © 2013 Hindawi

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