CG_DESCENT
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.
This software is also peer reviewed by journal TOMS.
Keywords for this software
References in zbMATH (referenced in 135 articles , 1 standard article )
Showing results 1 to 20 of 135.
Sorted by year (- Aminifard, Zohre; Babaie-Kafaki, Saman: Dai-Liao extensions of a descent hybrid nonlinear conjugate gradient method with application in signal processing (2022)
- Deepho, Jitsupa; Abubakar, Auwal Bala; Malik, Maulana; Argyros, Ioannis K.: Solving unconstrained optimization problems via hybrid CD-DY conjugate gradient methods with applications (2022)
- Sabi’u, J.; Shah, A.; Waziri, M. Y.: A modified Hager-Zhang conjugate gradient method with optimal choices for solving monotone nonlinear equations (2022)
- Waziri, Mohammed Yusuf; Ahmed, Kabiru; Halilu, Abubakar Sani: A modified PRP-type conjugate gradient projection algorithm for solving large-scale monotone nonlinear equations with convex constraint (2022)
- Aminifard, Zohre; Babaie-Kafaki, Saman: Analysis of the maximum magnification by the scaled memoryless DFP updating formula with application to compressive sensing (2021)
- Awwal, A. M.; Kumam, Poom; Mohammad, Hassan; Watthayu, Wiboonsak; Abubakar, A. B.: A Perry-type derivative-free algorithm for solving nonlinear system of equations and minimizing (\ell_1) regularized problem (2021)
- Ivanov, Branislav; Stanimirović, Predrag S.; Shaini, Bilall I.; Ahmad, Hijaz; Wang, Miao-Kun: A novel value for the parameter in the Dai-Liao-type conjugate gradient method (2021)
- Kozak, David; Becker, Stephen; Doostan, Alireza; Tenorio, Luis: A stochastic subspace approach to gradient-free optimization in high dimensions (2021)
- Sun, Wumei; Liu, Hongwei; Liu, Zexian: A class of accelerated subspace minimization conjugate gradient methods (2021)
- Sutti, Marco; Vandereycken, Bart: Riemannian multigrid line search for low-rank problems (2021)
- Vlček, Jan; Lukšan, Ladislav: Two limited-memory optimization methods with minimum violation of the previous secant conditions (2021)
- Abubakar, Auwal Bala; Kumam, Poom; Mohammad, Hassan; Awwal, Aliyu Muhammed: A Barzilai-Borwein gradient projection method for sparse signal and blurred image restoration (2020)
- Andrei, Neculai: New conjugate gradient algorithms based on self-scaling memoryless Broyden-Fletcher-Goldfarb-Shanno method (2020)
- Cao, Junyue; Wu, Jinzhao: A descent conjugate gradient algorithm for optimization problems and its applications in image restoration and compression sensing (2020)
- Cao, Junyue; Wu, Jinzhao: A conjugate gradient algorithm and its applications in image restoration (2020)
- Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba: Reduced order optimal control of the convective FitzHugh-Nagumo equations (2020)
- Li, Min: A three term Polak-Ribière-Polyak conjugate gradient method close to the memoryless BFGS quasi-Newton method (2020)
- Liu, Zexian; Liu, Hongwei; Dai, Yu-Hong: An improved Dai-Kou conjugate gradient algorithm for unconstrained optimization (2020)
- Sabi’u, Jamilu; Shah, Abdullah; Waziri, Mohammed Yusuf: Two optimal Hager-Zhang conjugate gradient methods for solving monotone nonlinear equations (2020)
- Stanimirović, Predrag S.; Ivanov, Branislav; Ma, Haifeng; Mosić, Dijana: A survey of gradient methods for solving nonlinear optimization (2020)