HESTENES M R, STIEFEL E. Methods of Conjugate Gradients for Solving Linear Systems[J]. Journal of Research of the National Bureau of Standards, 1952, 49(6): 409. doi: 10.6028/jres.049.044
戴彧虹. 非线性共轭梯度法[M]. 上海: 上海科学技术出版社, 2000.
HAGER W W W W, ZHANG H C. A Survey of Nonlinear Conjugate Gradient Methods[J]. Pacific Journal of Optimization, 2006, 2(1): 35-58.
HAGER W W, ZHANG H C. A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search[J]. SIAM Journal on Optimization, 2005, 16(1): 170-192. doi: 10.1137/030601880
POWELL M J D. Convergence Properties of Algorithms for Nonlinear Optimization[J]. SIAM Review, 1986, 28(4): 487-500. doi: 10.1137/1028154
GILBERT J C, NOCEDAL J. Global Convergence Properties of Conjugate Gradient Methods for Optimization[J]. SIAM Journal on Optimization, 1992, 2(1): 21-42. doi: 10.1137/0802003
WEI Z X, YAO S W, LIU L Y. The Convergence Properties of Some New Conjugate Gradient Methods[J]. Applied Mathematics and Computation, 2006, 183(2): 1341-1350. doi: 10.1016/j.amc.2006.05.150
SHENGWEI Y, WEI Z X, HUANG H. A Note about WYL's Conjugate Gradient Method and Its Applications[J]. Applied Mathematics and Computation, 2007, 191(2): 381-388. doi: 10.1016/j.amc.2007.02.094
HUANG H, LIN S H. A Modified Wei-Yao-Liu Conjugate Gradient Method for Unconstrained Optimization[J]. Applied Mathematics and Computation, 2014, 231: 179-186. doi: 10.1016/j.amc.2014.01.012
黎勇, 韦增欣. 一种自动充分下降的共轭梯度法[J]. 西南师范大学学报(自然科学版), 2016, 41(5): 36-40.
黎勇. 一类修正PRP共轭梯度法的全局收敛性及其数值试验结果[J]. 西南大学学报(自然科学版), 2011, 33(11): 23-28.
林穗华. 一类充分下降共轭梯度法的全局收敛性[J]. 吉林大学学报(理学版), 2017, 55(4): 874-880.
林穗华. 基于Wolfe线搜索的修正共轭梯度算法[J]. 安徽大学学报(自然科学版), 2018, 42(2): 47-53.
关哲, 于宪伟. 标准Wolfe线搜索下修正的DY共轭梯度法[J]. 西南师范大学学报(自然科学版), 2016, 41(1): 31-34.
赛·闹尔再, 张慧玲. 修正LS共轭梯度方法及其收敛性[J]. 西南师范大学学报(自然科学版), 2016, 41(7): 20-26.
李春念, 袁功林. 求解无约束问题的修正PRP共轭梯度算法[J]. 西南大学学报(自然科学版), 2018, 40(9): 67-75.
YUAN G L, WEI Z X, LI G Y. A Modified Polak-Ribière-Polyak Conjugate Gradient Algorithm for Nonsmooth Convex Programs[J]. Journal of Computational and Applied Mathematics, 2014, 255: 86-96.
YUAN G L, WEI Z X, LU X W. Global Convergence of BFGS and PRP Methodsunder a Modified Weak Wolfe-Powell Line Search[J]. Applied Mathematical Modelling, 2017, 47: 811-825.
ANDREI N. An Unconstrained Optimization Test Functions Collection[J]. Advanced Modeling and Optimization, 2008, 10(1): 147-161.
DOLAN E D, MORÉ J J. Benchmarking Optimization Software with Performance Profiles[J]. Mathematical Programming, 2002, 91(2): 201-213. doi: 10.1007%2Fs101070100263