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CG_DESCENT

swMATH ID: 4813
Software Authors: Hager, W.W., Zhang, H.
Description: 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.
Homepage: http://dl.acm.org/citation.cfm?id=1132979
Related Software: CUTEr; CUTE; L-BFGS; SCALCG; SifDec; L-BFGS-B; minpack; Algorithm 500; GALAHAD; SPG; CUTEst; LANCELOT; MINPACK-2; tn; Optim; ve08; Matlab; TRON; SNOPT; R
Referenced in: 145 Publications
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Referenced by 193 Authors

25 Babaie-Kafaki, Saman
11 Yuan, Gonglin
9 Ghanbari, Reza
7 Aminifard, Zohre
7 Hager, William W.
6 Bala Abubakar, Auwal
6 Kumam, Poom
6 Zhang, Hongchao
5 Liu, Zexian
4 Andrei, Neculai
4 Awwal, Aliyu Muhammed
4 Narushima, Yasushi
4 Rezaee, Saeed
4 Sheng, Zhou
4 Wang, Xiaoliang
4 Wei, Zengxin
4 Xiao, Yunhai
3 Dai, Yu-Hong
3 Huang, Yuanyuan
3 Martínez, José Mario
3 Wan, Zhong
3 Waziri, Mohammed Yusuf
3 Yabe, Hiroshi
2 Cao, Junyue
2 Chen, Xiaohong
2 Dan, Bin
2 Deng, Songhai
2 Du, Xuewu
2 Fatemi, Masoud
2 Iiduka, Hideaki
2 Ivanov, Branislav
2 Karasözen, Bülent
2 Kimiaei, Morteza
2 Küçükseyhan, Tuğba
2 Li, Xiangrong
2 Liu, Dongyi
2 Liu, Sanyang
2 Malik, Maulana
2 Mohammad, Hassan
2 Sabi’u, Jamilu
2 Shah, Abdullah
2 Shi, Zhenjun
2 Stanimirović, Predrag S.
2 Sun, Wumei
2 Toint, Philippe L.
2 Uzunca, Murat
2 Wu, Jinzhao
2 Xu, Gen-Qi
2 Zhang, Qimin
2 Zhang, Yang
1 Abubakar, A. B.
1 Ahmad, Hijaz
1 Ahmed, Kabiru
1 Al-Baali, Mehiddin
1 Alekseev, Aleksey K.
1 Alexe, Mihai
1 Andreani, Roberto
1 Argyros, Ioannis Konstantinos
1 Azmi, Behzad
1 Babaie, Kafaki Saman
1 Becker, Stephen R.
1 Bencherif-Madani, Abdelatif
1 Bhat, Y. S.
1 Birgin, Ernesto G.
1 Caliciotti, Andrea
1 Callies, Rainer
1 Carević, Miroslava Mihajlov
1 Carrillo de la Plata, José Antonio
1 Chang, Kangkang
1 Chelikowsky, James R.
1 Chen, Jingrun
1 Chen, Wufan
1 Cheng, Sui Sun
1 Cioaca, Alexandru
1 Deepho, Jitsupa
1 Dong, Xiaoliang
1 Doostan, Alireza
1 Duan, Xiabin
1 Ellaia, Rachid
1 Fahs, Amin
1 Fahs, Hassane
1 Fasano, Giovanni
1 Fazzio, Nadia S.
1 Feng, Heying
1 Ferreira-Mendonça, L.
1 Francisco, Juliano B.
1 García-Cervera, Carlos J.
1 Gelashvili, Koba N.
1 Gnandt, Christian
1 Gould, Nick I. M.
1 Gratton, Serge
1 Guan, Lutai
1 Guo, Jinhua
1 Gutleb, Timon S.
1 Halilu, Abubakar Sani
1 He, Donglei
1 Huang, Shuai
1 Ibrahim, Abdulkarim Hassan
1 Jian, Jinbao
1 Jiang, Xianzhen
...and 93 more Authors
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Referenced in 59 Serials

15 Journal of Computational and Applied Mathematics
10 Numerical Algorithms
10 Computational Optimization and Applications
7 Journal of Optimization Theory and Applications
7 Optimization Methods & Software
6 Optimization Letters
5 Computational and Applied Mathematics
4 Applied Mathematics and Computation
4 International Journal of Computer Mathematics
4 SIAM Journal on Optimization
4 4OR
3 Computers & Mathematics with Applications
3 Applied Numerical Mathematics
3 Mathematical Problems in Engineering
3 Journal of Inequalities and Applications
3 Journal of Applied Mathematics and Computing
2 Journal of Computational Physics
2 Journal of the Franklin Institute
2 Journal of Mathematical Analysis and Applications
2 Calcolo
2 European Journal of Operational Research
2 RAIRO. Operations Research
2 Journal of Applied Mathematics
2 Mediterranean Journal of Mathematics
2 Journal of Industrial and Management Optimization
1 Bulletin of the Australian Mathematical Society
1 Computer Methods in Applied Mechanics and Engineering
1 IMA Journal of Numerical Analysis
1 Mathematics of Computation
1 ACM Transactions on Mathematical Software
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 Mathematica Numerica Sinica
1 Bulletin of the Iranian Mathematical Society
1 Optimization
1 Asia-Pacific Journal of Operational Research
1 Journal of Global Optimization
1 Applied Mathematical Modelling
1 SIAM Review
1 SIAM Journal on Scientific Computing
1 Applied Mathematics. Series B (English Edition)
1 Abstract and Applied Analysis
1 The ANZIAM Journal
1 Applied Mathematics E-Notes
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Multiscale Modeling & Simulation
1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 Thai Journal of Mathematics
1 Acta Numerica
1 Fixed Point Theory and Applications
1 Electronic Journal of Statistics
1 Mathematical Programming Computation
1 Journal of Function Spaces
1 Journal of Mathematical Modeling
1 Bulletin of Computational Applied Mathematics
1 Transactions of A. Razmadze Mathematical Institute
1 Electronic Research Archive
1 SN Operations Research Forum

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