## Abstract and Applied Analysis

### Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 305643, 12 pages.

Dates
First available in Project Euclid: 26 March 2014

https://projecteuclid.org/euclid.aaa/1395858522

Digital Object Identifier
doi:10.1155/2014/305643

Mathematical Reviews number (MathSciNet)
MR3166594

Zentralblatt MATH identifier
07022130

#### Citation

Liu, San-Yang; Huang, Yuan-Yuan; Jiao, Hong-Wei. Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations. Abstr. Appl. Anal. 2014 (2014), Article ID 305643, 12 pages. doi:10.1155/2014/305643. https://projecteuclid.org/euclid.aaa/1395858522

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