求解无约束非线性规化问题的一个新的重开始三项共轭梯度算法的收敛性

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 69-76.

求解无约束非线性规化问题的一个新的重开始三项共轭梯度算法的收敛性

School of Mathematics and Computational Sciences, China University of Petroleum

收稿日期:2007-03-29 出版日期:2011-03-30 发布日期:2023-05-10
作者简介:SUN Qing-ying(1966- ), male, native of Qingzhou, Shandong, a professor of China University of Petroleum, Ph.D., engages in nonlinear programming.
基金资助:
Supported by the National Natural Science Foundation of China(10571106)； Supported by the Fundamental Research Funds for the Central Universities(10CX04044A)；

Global Convergence of a New Restarting Three Terms Conjugate Gradient Method for Non-linear Optimizations

School of Mathematics and Computational Sciences, China University of Petroleum

Received:2007-03-29 Online:2011-03-30 Published:2023-05-10
About author:SUN Qing-ying(1966- ), male, native of Qingzhou, Shandong, a professor of China University of Petroleum, Ph.D., engages in nonlinear programming.
Supported by:
Supported by the National Natural Science Foundation of China(10571106)； Supported by the Fundamental Research Funds for the Central Universities(10CX04044A)；

摘要/Abstract

摘要： In this note, by combining the nice numerical performance of PR and HS methods with the global convergence property of FR method, a class of new restarting three terms conjugate gradient methods is presented. Global convergence properties of the new method with two kinds of common line searches are proved.

关键词: nonlinear programming, restarting three terms conjugate gradient method;
forcing function, reverse modulus of continuity function, convergence

Abstract: In this note, by combining the nice numerical performance of PR and HS methods with the global convergence property of FR method, a class of new restarting three terms conjugate gradient methods is presented. Global convergence properties of the new method with two kinds of common line searches are proved.

Key words: nonlinear programming, restarting three terms conjugate gradient method;
forcing function, reverse modulus of continuity function, convergence

中图分类号:

O221.2

孙清滢, 桑兆阳, 田凤婷. 求解无约束非线性规化问题的一个新的重开始三项共轭梯度算法的收敛性[J]. 数学季刊, 2011, 26(1): 69-76.

SUN Qing-ying, SANG Zhao-yang, TIAN Feng-ting. Global Convergence of a New Restarting Three Terms Conjugate Gradient Method for Non-linear Optimizations [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 69-76.

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