Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations
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 condition...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/305643 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850237887214256128 |
|---|---|
| author | San-Yang Liu Yuan-Yuan Huang Hong-Wei Jiao |
| author_facet | San-Yang Liu Yuan-Yuan Huang Hong-Wei Jiao |
| author_sort | San-Yang Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-1dca48e86a3042a5864dba6ccde651fe |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1dca48e86a3042a5864dba6ccde651fe2025-08-20T02:01:39ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/305643305643Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone EquationsSan-Yang Liu0Yuan-Yuan Huang1Hong-Wei Jiao2School of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaTwo 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.http://dx.doi.org/10.1155/2014/305643 |
| spellingShingle | San-Yang Liu Yuan-Yuan Huang Hong-Wei Jiao Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations Abstract and Applied Analysis |
| title | Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations |
| title_full | Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations |
| title_fullStr | Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations |
| title_full_unstemmed | Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations |
| title_short | Sufficient Descent Conjugate Gradient Methods for Solving Convex Constrained Nonlinear Monotone Equations |
| title_sort | sufficient descent conjugate gradient methods for solving convex constrained nonlinear monotone equations |
| url | http://dx.doi.org/10.1155/2014/305643 |
| work_keys_str_mv | AT sanyangliu sufficientdescentconjugategradientmethodsforsolvingconvexconstrainednonlinearmonotoneequations AT yuanyuanhuang sufficientdescentconjugategradientmethodsforsolvingconvexconstrainednonlinearmonotoneequations AT hongweijiao sufficientdescentconjugategradientmethodsforsolvingconvexconstrainednonlinearmonotoneequations |