| 陈翠玲,陈玉.无线搜索共轭梯度法的全局收敛性[J].数学研究及应用,2018,38(5):541~550 |
| 无线搜索共轭梯度法的全局收敛性 |
| Global Convergence of Conjugate Gradient Methods without Line Search |
| 投稿时间：2017-10-27 修订日期：2018-06-06 |
| DOI：10.3770/j.issn:2095-2651.2018.05.011 |
| 中文关键词: |
| 英文关键词:unconstrained optimization conjugate gradient method line search global convergence |
| 基金项目: |
|
| 摘要点击次数: 1362 |
| 全文下载次数: 944 |
| 中文摘要: |
| |
| 英文摘要: |
| In this paper, a new steplength formula is proposed for unconstrained optimization, which can determine the step-size only by one step and avoids the line search step. Global convergence of the five well-known conjugate gradient methods with this formula is analyzed, and the corresponding results are as follows: (1) The DY method globally converges for a strongly convex $LC^1$ objective function; (2) The CD method, the FR method, the PRP method and the LS method globally converge for a general, not necessarily convex, $LC^1$ objective function. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|
