Algorithm 851: CG_DESCENT. A conjugate gradient method with guaranteed descent Recently, a new nonlinear conjugate gradient scheme was developed which satisfies the descent condition gTkdk ≤ −7/8 ‖gk‖2 and which is globally convergent whenever the line search fulfills the Wolfe conditions. This article studies the convergence behavior of the algorithm; extensive numerical tests and comparisons with other methods for large-scale unconstrained optimization are given.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 81 articles , 1 standard article )

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  1. Jiang, Xianzhen; Jian, Jinbao: Improved Fletcher-Reeves and Dai-Yuan conjugate gradient methods with the strong Wolfe line search (2019)
  2. Liu, Hongwei; Liu, Zexian: An efficient Barzilai-Borwein conjugate gradient method for unconstrained optimization (2019)
  3. Rezaee, Saeed; Babaie-Kafaki, Saman: An adaptive nonmonotone trust region algorithm (2019)
  4. Babaie-Kafaki, Saman; Ghanbari, Reza: A linear hybridization of the Hestenes-Stiefel method and the memoryless BFGS technique (2018)
  5. Babaie-Kafaki, Saman; Ghanbari, Reza: Two adaptive Dai-Liao nonlinear conjugate gradient methods (2018)
  6. Babaie-Kafaki, Saman; Rezaee, Saeed: Two accelerated nonmonotone adaptive trust region line search methods (2018)
  7. Gnandt, Christian; Callies, Rainer: CGRS -- an advanced hybrid method for global optimization of continuous functions closely coupling extended random search and conjugate gradient method (2018)
  8. Li, Min: A modified Hestense-Stiefel conjugate gradient method close to the memoryless BFGS quasi-Newton method (2018)
  9. Li, Xiangrong; Wang, Xiaoliang; Sheng, Zhou; Duan, Xiabin: A modified conjugate gradient algorithm with backtracking line search technique for large-scale nonlinear equations (2018)
  10. Rezaee, Saeed; Babaie-Kafaki, Saman: A modified nonmonotone trust region line search method (2018)
  11. Yao, Shengwei; He, Donglei; Shi, Lihua: An improved Perry conjugate gradient method with adaptive parameter choice (2018)
  12. Andrei, Neculai: Accelerated adaptive Perry conjugate gradient algorithms based on the self-scaling memoryless BFGS update (2017)
  13. Babaie-Kafaki, Saman; Ghanbari, Reza: A class of adaptive dai-liao conjugate gradient methods based on the scaled memoryless BFGS update (2017)
  14. Babaie-Kafaki, Saman; Ghanbari, Reza: A class of descent four-term extension of the Dai-Liao conjugate gradient method based on the scaled memoryless BFGS update (2017)
  15. Chen, Jingrun; García-Cervera, Carlos J.: An efficient multigrid strategy for large-scale molecular mechanics optimization (2017)
  16. Huang, Yuanyuan; Liu, Changhe: Dai-Kou type conjugate gradient methods with a line search only using gradient (2017)
  17. Uzunca, Murat; Küçükseyhan, Tuğba; Yücel, Hamdullah; Karasözen, Bülent: Optimal control of convective FitzHugh-Nagumo equation (2017)
  18. Wu, Yanlin: A modified three-term PRP conjugate gradient algorithm for optimization models (2017)
  19. Ziadi, Raouf; Ellaia, Rachid; Bencherif-Madani, Abdelatif: Global optimization through a stochastic perturbation of the Polak-Ribière conjugate gradient method (2017)
  20. Andrei, Neculai: An adaptive conjugate gradient algorithm for large-scale unconstrained optimization (2016)

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