版权说明 操作指南
首页 > 成果 > 详情

An Accelerated Three-Term Conjugate Gradient Method with Sufficient Descent Condition and Conjugacy Condition

认领
导出
下载 Link by DOI
反馈
分享
QQ微信 微博
成果类型:
期刊论文
作者:
Dong, XiaoLiang*;Han, Deren;Dai, Zhifeng;Li, Lixiang;Zhu, Jianguang
通讯作者:
Dong, XiaoLiang
作者机构:
[Dong, XiaoLiang] North Minzu Univ, Sch Math & Informat, Yinchuan, Peoples R China.
[Han, Deren] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China.
[Dai, Zhifeng] Changsha Univ Sci & Technol, Coll Math & Stat, Changsha, Hunan, Peoples R China.
[Li, Lixiang] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China.
[Zhu, Jianguang] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China.
通讯机构:
[Dong, XiaoLiang] N
North Minzu Univ, Sch Math & Informat, Yinchuan, Peoples R China.
语种:
英文
关键词:
Matrix algebra;Number theory;Compensation strategy;Condition numbers;Conjugacy conditions;Conjugate-gradient method;Global conver-gence;Iteration matrix;Search direction;Sufficient descent conditions;Three-term;Three-term conjugate gradient method;Conjugate gradient method
期刊:
Journal of Optimization Theory and Applications
ISSN:
0022-3239
年:
2018
卷:
179
期:
3
页码:
944-961
基金类别:
Acknowledgements We would like to thank Professor W.W. Hager and Professor H. Zhang for the CG_DESCENT code. We are grateful to the anonymous referees and editor for their useful comments, which have made the paper clearer and more comprehensive than the earlier version. This work is supported by the National Natural Science Foundation of China (11601012, 11431002, 11625105, 71771030, 11861002), Natural Science Foundation of Ningxia (NZ17103), Natural Science Foundation of Guangxi (2018GXNS-FAA138169), Guangxi Key Laboratory of Cryptography and Information Security (GCIS201708), Project of Shandong Province Higher Education Science and Technology (J17KA166), the key project of North Minzu University (ZDZX201804).
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
An accelerated three-term conjugate gradient method is proposed, in which the search direction can satisfy the sufficient descent condition as well as extended Dai–Liao conjugacy condition. Different from the existent methods, a dynamical compensation strategy in our proposed method is considered, that is Li–Fushikuma-type quasi-Newton equation is satisfied as much as possible, otherwise, to some extent, the singular values of iteration matrix of search directions will adaptively clustered, which substantially benefits acceleration the conver...

反馈

验证码:
看不清楚,换一个
确定
取消

成果认领

标题:
用户 作者 通讯作者
请选择
请选择
确定
取消

提示

该栏目需要登录且有访问权限才可以访问

如果您有访问权限,请直接 登录访问

如果您没有访问权限,请联系管理员申请开通

管理员联系邮箱:yun@hnwdkj.com