数学杂志2017，Vol.37Issue(2)：231-238,8.
一类新的具有充分下降条件和强收敛性的共轭梯度法
A NEW CONJUGATE GRADIENT METHOD WITH STRONGLY GLOBAL CONVERGENCE AND SUFFICIENT DESCENT CONDITION
摘要
Abstract
In this paper, we study the WYL conjugate gradient method for unconstrained optimization problems. By making use of the modified iterative scheme, the sufficient descent con-ditions are satisfied at each iteration independent of the line search used. Also, by removing the original restriction on the parameter of the Wolfe conditions, we establish the strongly global con-vergence property for the general function. Numerical results illustrate that our method is efficient for the test problems.关键词
共轭梯度法/充分下降条件/强收敛性/Wolfe搜索Key words
conjugate gradient method/sufficient descent condition/strongly global conver-gence/Wolfe line search分类
数理科学引用本文复制引用
董晓亮,何郁波,孔翔宇,李卫军..一类新的具有充分下降条件和强收敛性的共轭梯度法[J].数学杂志,2017,37(2):231-238,8.基金项目
Supported by National Natural Science Foundation of China (11601012 （）
11661002) （）
Ningxia Natural Science Foundation (NZ13095 （）
NZ16093) （）
Scientiflc Research Foundation of the Higher Education Institutions of Ningxia (NGY2016134) （NGY2016134）
Beifang University of Nationalities Foun-dation (2016SXKY06 （）
2014XBZ09 （）
2014XBZ01 （）
2013XYZ028). （）
