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2014 Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations
San-Yang Liu, Yuan-Yuan Huang, Hong-Wei Jiao
Abstr. Appl. Anal. 2014: 1-12 (2014). DOI: 10.1155/2014/305643

Abstract

Two unified frameworks of some sufficient descent conjugate gradient methods are considered. Combined with the hyperplane projection method of Solodov and Svaiter, they are extended to solve convex constrained nonlinear monotone equations. Their global convergence is proven under some mild conditions. Numerical results illustrate that these methods are efficient and can be applied to solve large-scale nonsmooth equations.

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San-Yang Liu. Yuan-Yuan Huang. Hong-Wei Jiao. "Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations." Abstr. Appl. Anal. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/305643

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07022130
MathSciNet: MR3166594
Digital Object Identifier: 10.1155/2014/305643

Rights: Copyright © 2014 Hindawi

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