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 63 articles , 1 standard article )

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  1. Andrei, Neculai: Accelerated adaptive Perry conjugate gradient algorithms based on the self-scaling memoryless BFGS update (2017)
  2. Babaie-Kafaki, Saman; Ghanbari, Reza: A class of adaptive dai-liao conjugate gradient methods based on the scaled memoryless BFGS update (2017)
  3. 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)
  4. Huang, Yuanyuan; Liu, Changhe: Dai-Kou type conjugate gradient methods with a line search only using gradient (2017)
  5. Wu, Yanlin: A modified three-term PRP conjugate gradient algorithm for optimization models (2017)
  6. Andrei, Neculai: An adaptive conjugate gradient algorithm for large-scale unconstrained optimization (2016)
  7. Babaie-Kafaki, Saman: On optimality of two adaptive choices for the parameter of Dai-Liao method (2016)
  8. Babaie-Kafaki, Saman; Ghanbari, Reza: A descent hybrid modification of the Polak-Ribière-Polyak conjugate gradient method (2016)
  9. Du, Xuewu; Zhang, Peng; Ma, Wenya: Some modified conjugate gradient methods for unconstrained optimization (2016)
  10. Fatemi, M.: An optimal parameter for Dai-Liao family of conjugate gradient methods (2016)
  11. Iiduka, Hideaki: Line search fixed point algorithms based on nonlinear conjugate gradient directions: application to constrained smooth convex optimization (2016)
  12. Zhang, Yang; Dan, Bin: An efficient adaptive scaling parameter for the spectral conjugate gradient method (2016)
  13. Al-Baali, Mehiddin; Narushima, Yasushi; Yabe, Hiroshi: A family of three-term conjugate gradient methods with sufficient descent property for unconstrained optimization (2015)
  14. Huang, Shuai; Wan, Zhong; Chen, Xiaohong: A new nonmonotone line search technique for unconstrained optimization (2015)
  15. Saman, Babaiekafaki: A modified three-term conjugate gradient method with sufficient descent property (2015)
  16. Xiao, Yunhai; Wu, Chunjie; Wu, Soon-Yi: Norm descent conjugate gradient methods for solving symmetric nonlinear equations (2015)
  17. Babaie-Kafaki, Saman: Two modified scaled nonlinear conjugate gradient methods (2014)
  18. Babaie-Kafaki, Saman: On the sufficient descent condition of the Hager-Zhang conjugate gradient methods (2014)
  19. Babaie-Kafaki, Saman; Ghanbari, Reza: Two modified three-term conjugate gradient methods with sufficient descent property (2014)
  20. Babaie-Kafaki, Saman; Ghanbari, Reza: The Dai-Liao nonlinear conjugate gradient method with optimal parameter choices (2014)

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