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OrthoMADS

swMATH ID: 7713
Software Authors: Abramson, Mark A.; Audet, Charles; Dennis, J.E.jun.; Le Digabel, S'ebastien
Description: Orthomads: A deterministic MADS instance with orthogonal directions. The purpose of this paper is to introduce a new way of choosing directions for the mesh adaptive direct search (Mads) class of algorithms. The advantages of this new OrthoMads instantiation of Mads are that the polling directions are chosen deterministically, ensuring that the results of a given run are repeatable, and that they are orthogonal to each other, which yields convex cones of missed directions at each iteration that are minimal in a reasonable measure. Convergence results for OrthoMads follow directly from those already published for Mads, and they hold deterministically, rather than with probability one, as is the case for LtMads, the first Mads instance. The initial numerical results are quite good for both smooth and nonsmooth and constrained and unconstrained problems considered here.
Homepage: http://www.caam.rice.edu/caam/trs/2008/TR08-03.pdf
Keywords: mesh adaptive direct search (MADS) algorithms; deterministic; orthogonal directions; constrained optimization; nonlinear programming
Related Software: NOMAD; DFL; MultiMin; DFN; EGO; SNOBFIT; SDPEN; NEWUOA; IMFIL; DFO; DFBOX_IMPR; SDBOX; PSwarm; BFO; SO-I; BOBYQA; CUTEst; DFLBOX; MCS; KELLEY
Cited in: 62 Publications
all top 5

Cited by 115 Authors

18 Audet, Charles
13 Le Digabel, Sébastien
5 Lucidi, Stefano
4 Bewley, Thomas R.
4 Dennis, John E. jun.
4 Liuzzi, Giampaolo
3 Asaki, Thomas J.
3 Beyhaghi, Pooriya
3 Marsden, Alison L.
3 Rinaldi, Francesco
3 Tribes, Christophe
2 Abramson, Mark A.
2 Alarie, Stéphane
2 Boukouvala, Fani
2 Bűrmen, Árpád
2 Conn, Andrew Roger
2 Floudas, Christodoulos Achilleus
2 Hare, Warren L.
2 Jarry-Bolduc, Gabriel
2 Kokkolaras, Michael
2 Sahinidis, Nikolaos V.
2 Sciandrone, Marco
2 Stracquadanio, Giovanni
2 Van Dyke, Benjamin
1 Adjengue, Luc D.
1 Akimoto, Youhei
1 Ali, Montaz M.
1 Alimo, Ryan
1 Armstrong, Jerawan C.
1 Auger, Anne
1 Bahrami, Salman
1 Bale, Christopher W.
1 Bei, Xiaoqiang
1 Bélisle, Eve
1 Belitz, Paul
1 Ben Yahia, Imen
1 Bigeon, Jean
1 Bouchet, Pierre-Yves
1 Camponogara, Eduardo
1 Caporossi, Gilles
1 Casella, Francesco
1 Chartrand, Patrice
1 Coit, David W.
1 Côté-Massicotte, Julien
1 Dang, C.-K.
1 Day, Marcus S.
1 Devals, Christophe
1 Dreisigmeyer, David W.
1 Dzahini, Kwassi Joseph
1 Fajfar, Iztok
1 Fanucchi, Dario
1 Faruque Hasan, M. M.
1 Favorite, Jeffrey A.
1 Feinstein, Jeffrey A.
1 Fournier, Xavier
1 Galvan, Giulio
1 Garnier, Vincent
1 Gheribi, Aïmen E.
1 Giovannelli, Tommaso
1 Giuliani, Caio Merlini
1 Glasmachers, Tobias
1 Graeb, Helmut E.
1 Grippo, Luigi
1 Guibault, François
1 Habal, Husni
1 Hansen, Pierre
1 Harvey, Jean-Philippe
1 Ibrahim, Sharif
1 Ihaddadene, Amina
1 Jacquet, Stéphane
1 Kiwiel, Krzysztof Czesław
1 Larson, Jeffrey
1 Latorre, Vittorio
1 Leclaire, Louis-Alexandre
1 Magallanez, Raymond jun.
1 Manno, Andrea
1 Martelli, Emanuele
1 Menickelly, Matt
1 Messine, Frédéric
1 Misener, Ruth
1 Morinaga, Daiki
1 Müller, Juliane
1 Nadeau, Patrick
1 Nicosia, Giuseppe
1 Olenšek, Jernej
1 Orban, Dominique
1 Pappalardo, Elisa
1 Pardalos, Panos M.
1 Pelton, Arthur D.
1 Peyrega, Mathilde
1 Phillips, Raymond
1 Planiden, Chayne
1 Ploskas, Nikolaos
1 Price, Christopher John
1 Regis, Rommel G.
1 Rios, Luis Miguel
1 Robelin, Christian
1 Romano, Vittorio
1 Salomon, Ludovic
1 Sankaran, Sethuraman
...and 15 more Authors

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