NEWUOA swMATH ID: 618 Software Authors: M.J.D. Powell Description: NEWUOA is a software developped by M.J.D. Powell for unconstrained optimization without derivatives. The NEWUOA seeks the least value of a function F(x) (x is a vector of dimension n ) when F(x) can be calculated for any vector of variables x . The algorithm is iterative, a quadratic model being required at the beginning of each iteration, which is used in a trust region procedure for adjusting the variables. When the quadratic model is revised, the new model interpolates F at m points, the value m=2n+1 being recommended. Homepage: http://www.inrialpes.fr/bipop/people/guilbert/newuoa/newuoa.html Programming Languages: Fortran Related Software: DFO; BOBYQA; UOBYQA; COBYLA2; MultiMin; WEDGE; MCS; NOMAD; KELLEY; CUTEr; EGO; SifDec; ORBIT; Matlab; IMFIL; OrthoMADS; minpack; SNOBFIT; CUTEst; GQTPAR Cited in: 102 Publications all top 5 Cited by 226 Authors 5 Powell, Michael James David 5 Scheinberg, Katya 4 Echebest, Nélida E. 4 Regis, Rommel G. 4 Toint, Philippe L. 3 Breitmoser, Yves 3 Conn, Andrew Roger 3 Karas, Elizabeth W. 3 Sahinidis, Nikolaos V. 3 Sun, Wenyu 3 Vicente, Luis Nunes 3 Wild, Stefan M. 3 Yuan, Ya-xiang 3 Zhu, Detong 2 Ahmadvand, Mohammad 2 Ali, Montaz M. 2 Arouxét, Ma. Belén 2 Berahas, Albert S. 2 Cartis, Coralia 2 Chan, Tony Fan-Cheong 2 Chen, Ke 2 Cui, Hengjian 2 Custódio, Ana Luísa 2 Esmaeilbeigi, Mohsen 2 Gumma, E. A. E. 2 Hare, Warren L. 2 Hashim, Mohsin Hassan Abdallah 2 Hornik, Kurt 2 Hu, Tao 2 Kamandi, Ahmad 2 Pedroso, Lucas Garcia 2 Pilotta, Elvio A. 2 Qiu, Yanping 2 Rinaldi, Francesco 2 Roberts, Lindon 2 Sachine, Mael 2 Schuverdt, María Laura 2 Shoemaker, Christine A. 2 Tröltzsch, Anke 2 Vignau, R. P. 2 Wang, Jueyu 2 Xi, Min 2 Yaghoobi, Farajollah Mohammadi 2 Yuan, Jinyun 1 Amaran, Satyajith 1 Astete-Morales, Sandra 1 Auger, Anne 1 Bandeira, Michael Martin A. S. 1 Bangerth, Wolfgang 1 Bánhelyi, Balázs 1 Baynat, Bruno 1 Begin, Thomas 1 Bemporad, Alberto 1 Böckle, Gebhard 1 Brandwajn, Alexandre 1 Brás, Carmo P. 1 Braun, Phillip A. 1 Brini, Alberto 1 Brockhoff, Dimo 1 Bury, Scott J. 1 Byrd, Richard H. 1 Campana, Emilio Fortunato 1 Cao, Jiguo 1 Cao, Liyuan 1 Carvalho, Esdras P. 1 Casella, Francesco 1 Cauwet, Marie-Liesse 1 Chen, Chaohui 1 Chen, Jun 1 Chen, Lihong 1 Chen, Yannan 1 Choromanski, Krzysztof 1 Cipollini, Fabrizio 1 Conejo, Paulo D. 1 Cristofari, Andrea 1 Csendes, Tibor 1 Daubechies, Ingrid Chantal 1 de Sampaio, Raimundo J. B. 1 Deb, Kalyanmoy 1 Deng, Geng 1 Du, Jiang 1 Ehrhardt, Matthias Joachim 1 El-Khamra, Yaakoub 1 Fernandes, Vítor H. 1 Ferreira, Priscila S. 1 Ferris, Michael C. 1 Gal, Raviv 1 Gallo, Giampiero M. 1 Gao, Guohua 1 Gärtner, Bernd 1 Gervais, Véronique 1 Gould, Nicholas Ian Mark 1 Grapiglia, Geovani Nunes 1 Gratton, Serge 1 Grippo, Luigi 1 Haakma, Reinder 1 Haber, Eldad 1 Hanba, Shigeru 1 Hansen, Nikolaus 1 Hare, W. ...and 126 more Authors all top 5 Cited in 45 Serials 9 Computational Optimization and Applications 7 Optimization Methods & Software 6 Mathematical Programming. Series A. Series B 6 Computational and Applied Mathematics 6 Optimization and Engineering 5 Journal of Global Optimization 4 Computational Geosciences 3 Numerical Algorithms 3 Games and Economic Behavior 3 Computational Statistics and Data Analysis 3 SIAM Journal on Optimization 3 Optimization Letters 3 Mathematical Programming Computation 2 IMA Journal of Numerical Analysis 2 Journal of Computational and Applied Mathematics 2 Optimization 2 Computers & Operations Research 2 Foundations of Computational Mathematics 2 Numerical Algebra, Control and Optimization 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Applied Mathematics and Computation 1 Journal of the American Statistical Association 1 Mathematics and Computers in Simulation 1 Theoretical Computer Science 1 Communications in Statistics. Simulation and Computation 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 SIAM Journal on Scientific Computing 1 Soft Computing 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 CEJOR. Central European Journal of Operations Research 1 Journal of Systems Science and Complexity 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Statistical Methods and Applications 1 Mathematical Biosciences and Engineering 1 Oberwolfach Reports 1 The Annals of Applied Statistics 1 Journal of Computational and Graphical Statistics 1 Journal of Mathematical Extension 1 EURO Journal on Computational Optimization 1 SpringerBriefs in Optimization all top 5 Cited in 21 Fields 75 Operations research, mathematical programming (90-XX) 41 Numerical analysis (65-XX) 12 Statistics (62-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Computer science (68-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 Partial differential equations (35-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year