swMATH ID: 5310
Software Authors: Garbow B, Hillstrom K, More J
Description: Notes on optimization software. This paper is an attempt to indicate the current state of optimization software and the search directions which should be considered in the near future. There are two parts of this paper. In the first part I discuss some of the issues that are relevant to the development of general optimization software. I have tried to focus on those issues which do not seem to have received sufficient attention and which would significantly benefit from further research. In addition, I have chosen issues that are particularly relevant to the development of software for optimization libraries. In the second part I illustrate some of the points raised in the first part by discussing algorithms for unconstrained optimization. Because the discussion in this part is brief, the interested reader may want to consult other papers in this volume for further information. In both parts my comments are influenced by my involvement in the MINPACK project and by my experiences in the development of MINPACK-1 [cf. the author, B. S. Garbow and K. E. Hillstrom, ACM Trans. Math. Software 7, 17-41 (1981; Zbl 0454.65049)].
Homepage: http://www.netlib.org/minpack/
Programming Languages: Fortran
Keywords: optimization; ZERO – Zeros of Functions and Systems
Related Software: CUTEr; L-BFGS; HYBRJ; CUTE; KELLEY; SifDec; GQTPAR; ve08; Matlab; LANCELOT; DFO; tn; SCALCG; BRENT; Genocop; NAG; Algorithm 500; INTOPT_90; TENSOLVE; MINOS
Cited in: 768 Documents
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Cited by 1,046 Authors

18 Wei, Zengxin
17 Martínez, José Mario
16 Yuan, Gonglin
15 Karageorghis, Andreas
14 Fan, Jinyan
14 Shi, Zhenjun
13 Ford, John A.
13 Leong, Wah June
12 Watson, Layne Terry
10 Amini, Keyvan
10 Dai, Yu-Hong
10 Ni, Qin
10 Price, Christopher John
10 Sun, Wenyu
9 Jian, Jinbao
9 Lesnic, Daniel
9 Shen, Jie
8 Ahookhosh, Masoud
8 Kimiaei, Morteza
8 Lukšan, Ladislav
8 Vrahatis, Michael N.
7 Gonçalves, Max L. N.
7 Grapiglia, Geovani Nunes
7 Jiang, Xianzhen
7 Mohammad, Hassan
7 Schnabel, Robert B.
7 Toint, Philippe L.
7 Zhang, Li
6 Al-Baali, Mehiddin
6 Farid, Mahboubeh
6 Kim, Sunyoung
6 Lampariello, Francesco
6 Lu, Xiwen
6 Moghrabi, Issam A. R.
6 Narushima, Yasushi
6 Qu, Shaojian
6 Thacker, William I.
6 Yabe, Hiroshi
6 Yuan, Ya-xiang
6 Zhang, Jianzhong
6 Zhang, Kecun
5 Conforti, Domenico
5 Hassan, Malik Abu
5 Kojima, Masakazu
5 Kumar, S. Kishore
5 Li, Guoyin
5 Litvin, Faydor L.
5 Liu, Pengjie
5 Ma, Changfeng
5 Nazareth, John Lawrence
5 Nocedal, Jorge
5 Ou, Yigui
5 Prudente, Leandro F.
5 Qi, Liqun
5 Robertson, B. L.
5 Wan, Zhong
5 Xu, Chengxian
5 Yang, Yueting
5 Zhou, Weijun
5 Zhu, Honglan
4 Bellavia, Stefania
4 Chen, Liang
4 Cui, Zhaocheng
4 de Sampaio, Raimundo J. B.
4 Deng, Naiyang
4 Dussault, Jean-Pierre
4 Esmaeili, Hamid
4 Gasparo, Maria Grazia
4 Li, Duan
4 Liao, Li-Zhi
4 Lucidi, Stefano
4 Musmanno, Roberto
4 Pan, Jianyu
4 Regis, Rommel G.
4 Saadallah, Adel F.
4 Santos, Sandra Augusta
4 Stojkovska, Irena
4 Telles, José Claudio de Faria
4 Tewarson, Reginald P.
4 Wu, Ting
4 Xu, Zi
4 Yuan, Jinyun
4 Zeng, Meilan
4 Zhou, Qinghua
4 Zhou, Qunyan
3 Audet, Charles
3 Awwal, Aliyu Muhammed
3 Berger, J. R.
3 Bergou, El Houcine
3 Bourdarias, Christian
3 Bűrmen, Árpád
3 Byrd, Richard H.
3 Coleman, Thomas F.
3 Coope, Ian D.
3 Diniz-Ehrhardt, Maria Aparecida
3 Fuentes, Alfonso
3 Ge, Rendong
3 Gerbi, Stéphane
3 Gonzalez-Perez, Ignacio
3 Gratton, Serge
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Cited in 183 Serials

61 Journal of Computational and Applied Mathematics
57 Applied Mathematics and Computation
44 Journal of Optimization Theory and Applications
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27 Computers & Mathematics with Applications
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21 Journal of Global Optimization
20 Optimization Methods & Software
19 SIAM Journal on Optimization
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13 Engineering Analysis with Boundary Elements
13 Journal of Applied Mathematics and Computing
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11 Computer Methods in Applied Mechanics and Engineering
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9 European Journal of Operational Research
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8 Computing
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7 International Journal of Computer Mathematics
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6 Kybernetika
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5 Journal of Scientific Computing
5 Journal of Applied Mathematics
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4 SIAM Journal on Numerical Analysis
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4 Annals of Operations Research
4 The ANZIAM Journal
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2 International Journal for Numerical Methods in Engineering
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2 Science in China. Series A
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2 Top
2 INFORMS Journal on Computing
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2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Numerical Mathematics
2 JMMA. Journal of Mathematical Modelling and Algorithms
2 Journal of Industrial and Management Optimization
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535 Operations research, mathematical programming (90-XX)
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52 Calculus of variations and optimal control; optimization (49-XX)
30 Computer science (68-XX)
29 Mechanics of deformable solids (74-XX)
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