[1] Hestenes M R, Stiefel E. Method of conjugate gradient for solving linear equations [J]. Journal of Research National Bureau of Standards, 1952, 49(6): 409-436. [2] Fletcher R, Reeves C M. Function minimization by conjugate gradients [J]. The Computer Journal, 1964, 7(2): 149-154. [3] Polak E, Ribière G. Note sur la convergence de mèthodes de directions conjugèes [J]. Revue Francaise d’Informatique et de Recherche Opérationnelle, 1969, 3(16): 35-43. [4] Polyak B T. The conjugate gradient method in extreme problems [J]. USSR Computational Mathematics and Mathematical Physics, 1969, 9(4): 94-112. [5] Dai Y H, Yuan Y X. A nonlinear conjugate gradient method with a strong global convergence property [J]. SIAM Journal on Optimization, 1999, 10(1): 177-182. [6] 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. [7] Hager W W, Zhang H C. A survey of nonlinear conjugate gradient methods [J]. Pacific Journal of Optimization, 2006, 2(1): 35-58. [8] Jiang X Z, Jian J B. Two modified nonlinear conjugate gradient methods with disturbance factors for unconstrained optimization [J]. Nonlinear Dynamics, 2014, 77(1-2): 387-397. [9] 江羡珍, 简金宝, 马国栋. 具有充分下降性的两个共轭梯度法[J]. 数学学报, 2014, 57(2): 365-372. [10] Tsegay G W, 张海斌, 张鑫, 等. 一种求解非线性无约束优化问题的充分下降的共轭梯度法[J]. 运筹学学报, 2018, 22(3): 59-68. [11] Mtagulwa P, Kaelo P. An efficient modified PRP-FR hybrid conjugate gradient method for solving unconstrained optimization problems [J]. Applied Numerical Mathematics, 2019, 145: 111-120. [12] Zhang L, Zhou W J, Li D H. Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search [J]. Numerische Mathematik, 2006, 104(4): 561-572. [13] Liu J K, Feng Y M, Zou L M. A spectral conjugate gradient method for solving large-scale unconstrained optimization [J]. Computers & Mathematics with Applications, 2019, 77(3): 731-739. [14] Saman B K. A modified scaled memoryless BFGS preconditioned conjugate gradient method for unconstrained optimization [J]. 4OR-A Quarterly Journal of Operations Research, 2013, 11(4): 361-374. [15] Andrei N. A scaled BFGS preconditioned conjugate gradient algorithm for unconstrained optimization [J]. Applied Mathematics Letters, 2007, 20(6): 645-650. [16] Jian J B, Chen Q, Jiang X Z, et al. A new spectral conjugate gradient method for large-scale unconstrained optimization [J]. Optimization Methods & Software, 2017, 32(3): 503-515. [17] Deng S H, Wan Z, Chen X H. An improved spectral conjugate gradient algorithm for nonconvex unconstrained optimization problems [J]. Journal of Optimization Theory and Applications, 2013, 157(3): 820-842. [18] Aminifard Z, Babaie-Kafaki S. A modified descent Polak-RibiWre-Polyak conjugate gradient method with global convergence property for nonconvex functions [J]. 2019, Calcolo, 56(2): 16. [19] Birgin E G, Martínez J M. A spectral conjugate gradient method for unconstrained optimization [J]. Applied Mathematics and Optimization, 2001, 43(2): 117-128. [20] Dai Y H, Yuan Y X. An efficient hybrid conjugate gradient method for unconstrained optimization [J]. Annals of Operations Research, 2001, 103: 33-47. [21] 闫晖, 陈兰平. 推广AS-GN混合共轭梯度算法[J]. 运筹学学报, 2010, 14(3): 122-128. [22] Liu J K, Li S J. New hybrid conjugate gradient method for unconstrained optimization [J]. Applied Mathematics & Computation, 2014, 245: 36-43. [23] Liu J K, Feng Y M, Zou L M. Some three-term conjugate gradient methods with the inexact line search condition [J]. Calcolo, 2018, 55(2): 16. [24] Kou C X, Dai Y H. A modified self-scaling memoryless Broyden-Fletcher-Goldfarb-Shanno method for unconstrained optimization [J]. Journal of Optimization Theory and Applications, 2015, 165(1): 209-224. [25] Tang C M, Li S Y, Cui Z R. Least-squares-based three-term conjugate gradient methods [J]. Journal of Inequalities and Applications, 2020, 2020: 27. [26] Li M, Liu H W, Liu Z X. A new subspace minimization conjugate gradient method with nonmonotone line search for unconstrained optimization [J]. Numerical Algorithms, 2018, 79: 195-219. [27] Diao X L, Liu H W, Liu Z X. A new subspace minimization conjugate gradient method based on modified secant equation for unconstrained optimization [J]. Computational & Applied Mathematics, 2020, 39: 251. [28] Al-Baali M. Descent property and global convergence of the Fletcher-Reeves method with inexact line search [J]. IMA Journal of Numerical Analysis, 1985, 5(1): 121-124. [29] Glibert J C, Nocedal J. Global covergence properties of conjugate gradient method for optimization [J]. SIAM Journal on Optimization, 1992, 2(1): 21-42. [30] Zoutendijk G. Nonlinear programming, computational methods [J]. Integer and Nonlinear Programming, 1970, 143: 37-86. [31] Bongartz K E, Conn A R, Gould N I M, et al. CUTE: constrained and unconstrained testing environments [J]. ACM Transactions on Mathematical Software, 1995, 21: 123-160. [32] Moré J, Garbow B S, Hillstrome K E. Testing unconstrained optimization software [J]. ACM Transactions on Mathematical Software, 1981, 7: 17-41. [33] Andrei N. An unconstrained optimization test functions collection [J]. Advanced Modeling and Optimization, 2008, 10(1): 147-161. [34] Dolan E D, Moré J. Benchmarking optimization software with performance profiles [J]. Mathematical Programming, 2002, 91: 201-213. |