|
|
【答案】应助回帖
★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★
感谢参与，应助指数 +1
xinren08: 金币+30, ★★★★★最佳答案, 谢谢了，我也没有搜索到。看来是进去了，非常感谢！ 2015-11-06 10:23:11
心静_依然: LS-EPI+1, 感谢应助 2015-11-06 15:08:17
 标题有个破折号
Accession number:
20153701263192
Title: A modified HestenesStiefel projection method for constrained nonlinear equations and its linear convergence rate
Authors: Sun, Min1 Email author ziyouxiaodou@163.com; Liu, Jing2
Author affiliation: 1 School of Mathematics and Statistics, Zaozhuang University, Zaozhuang; Shandong, China
2 School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou, China
Corresponding author: Sun, Min
Source title: Journal of Applied Mathematics and Computing
Abbreviated source title: J. Appl. Math. Comp.
Volume: 49
Issue: 1-2
Issue date: October 9, 2015
Publication year: 2015
Pages: 145-156
Language: English
ISSN: 15985865
Document type: Journal article (JA)
Publisher: Springer Verlag
Abstract: The Hestenes–Stiefel (HS) method is an efficient method for solving large-scale unconstrained optimization problems. In this paper, we extend the HS method to solve constrained nonlinear equations, and propose a modified HS projection method, which combines the modified HS method proposed by Zhang et al. with the projection method developed by Solodov and Svaiter. Under some mild assumptions, we show that the new method is globally convergent with an Armijo line search. Moreover, the R-linear convergence rate of the new method is established. Some preliminary numerical results show that the new method is efficient even for large-scale constrained nonlinear equations. © 2014, Korean Society for Computational and Applied Mathematics.
Number of references: 20
Main heading: Nonlinear equations
Controlled terms: Numerical methods - Optimization
Uncontrolled terms: Armijo line searches - Global conver-gence - Globally convergent - Large scale unconstrained optimizations - Linear convergence rate - Numerical results - Projection method - R-linear convergences
Classification code: 921 Mathematics
DOI: 10.1007/s12190-014-0829-7
Database: Compendex
Compilation and indexing terms, © 2015 Elsevier Inc. |
|
回复此楼