BRENT swMATH ID: 14021 Software Authors: Richard Brent; John Burkardt Description: BRENT Algorithms for Minimization Without Derivatives. BRENT is a C library which contains algorithms for finding zeros or minima of a scalar function of a scalar variable, by Richard Brent. The methods do not require the use of derivatives, and do not assume that the function is differentiable. Homepage: http://people.sc.fsu.edu/~jburkardt/c_src/brent/brent.html Related Software: R; minpack; Matlab; DFO; GitHub; KELLEY; NEWUOA; VOFTools; fminsearch; NOMAD; Algorithm 748; RROOT_748; LBFGS-B; FFTW; BayesDA; SciPy; LAPACK; QUADPACK; ORBIT; COBYLA2 Cited in: 472 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithms for minimization without derivatives. Repr. of the 1973 original. Zbl 1009.90133Brent, Richard P. 2002 all top 5 Cited by 913 Authors 5 Brent, Richard Peirce 5 Dvurechensky, Pavel E. 5 Falcone, Maurizio 5 Gasnikov, Alexander V. 5 Glowinski, Roland 5 Potra, Florian-Alexandru 4 Argyros, Ioannis Konstantinos 4 Farouki, Rida T. 4 Ferretti, Roberto Giorgio 4 Fortes, Miguel Angel 4 Hansen, Pierre 4 Jaumard, Brigitte 4 Pasadas, Miguel 4 Toint, Philippe L. 3 Alefeld, Götz E. 3 Andrews, Jeffrey L. 3 de la Llave, Rafael 3 González-Santander, Juan Luis 3 Gutman, Semion 3 Koko, Jonas 3 Leão, Jeremias 3 Lu, Shihui 3 Magoulas, George D. 3 McNicholas, Paul D. 3 Meyers, Johan 3 Mifflin, Robert 3 Moghrabi, Issam A. R. 3 Murray, Walter 3 Owen, Art B. 3 Tomazella, Vera Lúcia Damasceno 3 Vrahatis, Michael N. 3 Wingo, Dallas R. 2 Agur, Zvia 2 Alla, Alessandro 2 Bothe, Dieter 2 Bristeau, Marie-Odile 2 Carlini, Elisabetta 2 Cătinaş, Emil 2 Conn, Andrew Roger 2 Dalcín, Lisandro D. 2 Dhillon, Inderjit S. 2 Diot, Steven 2 Dong, Haibo 2 El-Fallahi, Abdellah 2 Ferreira, Paulo H. 2 Ford, John A. 2 Forsyth, Peter A. 2 Francois, Marianne M. 2 Geurts, Bernard J. 2 Gill, Philip E. 2 Ginosar, Yuval 2 Gorbunov, Eduard 2 Hager, William W. 2 Huang, Jianhua Z. 2 Ianovski, A. 2 Isenberg, Jeremy 2 Jiang, Ing-Guey 2 Joglekar, M. M. 2 Koh, Woon Yuen 2 Kot, Mark 2 Lawver, D. 2 Leiva, Víctor 2 Li, Tiexiang 2 Liu, Jun 2 Louzada, Francisco 2 Martí, Rafael 2 Morales, Domingo 2 Mota, Alex L. 2 Neumaier, Arnold 2 Overton, Michael L. 2 Parsani, Matteo 2 Périaux, Jacques F. 2 Perrier, Pierre C. 2 Perrin, Guillaume 2 Pironneau, Olivier 2 Raknerud, Arvid 2 Ramos, Pedro Luiz 2 Rheinboldt, Werner C. 2 Rodríguez, Miguel L. 2 Sahinidis, Nikolaos V. 2 Saluzzi, Luca 2 Saulo, Helton 2 Scheinberg, Katya 2 Scitovski, Rudolf 2 Shen, Haipeng 2 Shi, Yixun 2 Shoham, Moshe 2 Sloboda, Fridrich 2 Soize, Christian 2 Strodiot, Jean-Jacques 2 Sugasawa, Shonosuke 2 Tian, Tian Siva 2 Tiermas, Marko 2 Tu, Chunhao 2 Vainstein, Vladimir 2 Wolfe, Michael A. 2 Xin, Jack X. 2 Yau, Shing-Tung 2 Yeh, Li-Chin 2 Yueh, Mei-Heng ...and 813 more Authors all top 5 Cited in 182 Serials 27 Journal of Computational Physics 25 Computational Statistics and Data Analysis 17 Applied Mathematics and Computation 10 Computers & Mathematics with Applications 10 Computer Methods in Applied Mechanics and Engineering 10 Journal of Computational and Applied Mathematics 10 Numerische Mathematik 9 Communications in Statistics. 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B 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Biometrical Journal ...and 82 more Serials all top 5 Cited in 41 Fields 207 Numerical analysis (65-XX) 118 Statistics (62-XX) 110 Operations research, mathematical programming (90-XX) 47 Fluid mechanics (76-XX) 32 Computer science (68-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 25 Partial differential equations (35-XX) 22 Mechanics of deformable solids (74-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Probability theory and stochastic processes (60-XX) 18 Biology and other natural sciences (92-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Systems theory; control (93-XX) 11 Ordinary differential equations (34-XX) 11 Approximations and expansions (41-XX) 11 Mechanics of particles and systems (70-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 6 Operator theory (47-XX) 6 Geophysics (86-XX) 5 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX) Citations by Year