minpack 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 Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Notes on optimization software. Zbl 0548.90074Moré, Jorge J. 1982 Testing unconstrained optimization software. Zbl 0454.65049More, Jorge J.; Garbow, Burton S.; Hillstrom, Kenneth E. 1981 all top 5 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 ...and 946 more Authors all top 5 Cited in 183 Serials 61 Journal of Computational and Applied Mathematics 57 Applied Mathematics and Computation 44 Journal of Optimization Theory and Applications 44 Computational Optimization and Applications 27 Computers & Mathematics with Applications 27 Numerical Algorithms 21 Journal of Global Optimization 20 Optimization Methods & Software 19 SIAM Journal on Optimization 14 Mathematical Programming. Series A. 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Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Bulletin of the Korean Mathematical Society 1 Operations Research Letters ...and 83 more Serials all top 5 Cited in 38 Fields 535 Operations research, mathematical programming (90-XX) 483 Numerical analysis (65-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 30 Computer science (68-XX) 29 Mechanics of deformable solids (74-XX) 25 Fluid mechanics (76-XX) 15 Partial differential equations (35-XX) 15 Statistics (62-XX) 11 Mechanics of particles and systems (70-XX) 11 Systems theory; control (93-XX) 10 Ordinary differential equations (34-XX) 9 Biology and other natural sciences (92-XX) 8 Classical thermodynamics, heat transfer (80-XX) 8 Information and communication theory, circuits (94-XX) 7 Operator theory (47-XX) 7 Optics, electromagnetic theory (78-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Relativity and gravitational theory (83-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year