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TRON

swMATH ID: 4714
Software Authors: Lin, Chih-Jen; Moré, Jorge
Description: TRON is a trust region Newton method for the solution of large bound-constrained optimization problems. TRON uses a gradient projection method to generate a Cauchy step, a preconditioned conjugate gradient method with an incomplete Cholesky factorization to generate a direction, and a projected search to compute the step. The use of projected searches, in particular, allows TRON to examine faces of the feasible set by generating a small number of minor iterates, even for problems with a large number of variables. As a result TRON is remarkably efficient at solving large bound-constrained optimization problems.
Homepage: http://www.mcs.anl.gov/~more/tron/
Related Software: L-BFGS; LBFGS-B; CUTEr; LANCELOT; L-BFGS-B; KELLEY; tn; SNOPT; KNITRO; SifDec; Ipopt; CUTE; LOQO; CUTEst; SPG; GQTPAR; LIBSVM; GALAHAD; GPDT; UCI-ml
Cited in: 121 Documents

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
Newton’s method for large bound-constrained optimization problems. Zbl 0957.65064
Lin, Chih-Jen; Moré, Jorge J.
1999
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Cited by 218 Authors

6 Kouri, Drew P.
6 Lin, Chih-Jen
6 Nocedal, Jorge
6 Orban, Dominique
5 Haber, Eldad
4 Li, Donghui
4 Martínez, José Mario
4 Toint, Philippe Louis
4 Xiao, Yunhai
3 Byrd, Richard H.
3 Cheng, Wanyou
3 Gould, Nicholas Ian Mark
3 Hager, William W.
3 Kanzow, Christian
3 Sciandrone, Marco
3 Tenorio, Luis
3 Wei, Zengxin
3 Xiu, Naihua
3 Zhang, Hongchao
3 Zhang, Jianzhong
2 Baraldi, Robert J.
2 Bellavia, Stefania
2 Birgin, Ernesto G.
2 Curtis, Frank E.
2 Gill, Philip E.
2 He, Guoping
2 Horesh, Lior
2 Klug, Andreas
2 Kunisch, Karl
2 Leyffer, Sven
2 Lin, Lu
2 Lucidi, Stefano
2 Macconi, Maria
2 Morales, José Luis
2 Morini, Benedetta
2 Nash, Stephen G.
2 Peyghami, Mohammad Reza
2 Piccialli, Veronica
2 Pytlak, Radosław
2 Sra, Suvrit
2 Sun, Li
2 Surowiec, Thomas
2 Ulbrich, Michael
2 Waltz, Richard A.
2 Wang, Yongli
2 Weng, Ruby Chiu-Hsing
2 Yu, Bo
2 Yuan, Gonglin
1 Ahookhosh, Masoud
1 Andreani, Roberto
1 Anitescu, Mihai
1 Antil, Harbir
1 Ariyawansa, K. A.
1 Arora, Nikhil
1 Arreckx, Sylvain
1 Austin, Anthony P.
1 Bagheri, Alireza
1 Bank, Randolph E.
1 Barbero, Álvaro
1 Bardsley, Johnathan M.
1 Barrera Sánchez, Pablo
1 Belachew, Melisew Tefera
1 Biegler, Lorenz T.
1 Bonettini, Silvia
1 Bottou, Léon
1 Bui-Thanh, Tan
1 Burdakov, Oleg P.
1 Cafieri, Sonia
1 Caliciotti, Andrea
1 Cassioli, Andrea
1 Caudillo-Mata, Luz Angélica
1 Chang, Justin
1 Chang, Ming-Wei
1 Chen, Huajie
1 Chen, Jun
1 Chen, Tianyi
1 Chen, Xiaojun
1 Chen, Zixin
1 Chin, Gillian M.
1 Chu, Yingyi
1 Chung, Kai-Min
1 Cortés, J. J.
1 Cristofari, Andrea
1 Dahito, Marie-Ange
1 D’Apuzzo, Marco
1 De Baets, Bernard
1 de Sampaio, Raimundo J. B.
1 De Santis, Marianna
1 De Simone, Valentina
1 Dhillon, Inderjit S.
1 di Serafino, Daniela
1 Di, Zichao
1 Dong, Junliang
1 Ek, David
1 Erway, Jennifer B.
1 Estrin, Ron
1 Facchinei, Francisco
1 Fan, Changxing
1 Fang, Liang
1 Fasano, Giovanni
...and 118 more Authors
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Cited in 46 Serials

11 Computational Optimization and Applications
10 SIAM Journal on Optimization
8 Journal of Optimization Theory and Applications
7 Journal of Computational and Applied Mathematics
6 Mathematical Programming. Series A. Series B
6 Optimization Methods & Software
5 Computers & Mathematics with Applications
5 SIAM Journal on Scientific Computing
4 Applied Mathematics and Computation
4 Optimization Letters
3 Inverse Problems
3 Numerische Mathematik
3 Optimization and Engineering
2 IMA Journal of Numerical Analysis
2 Applied Numerical Mathematics
2 Annals of Operations Research
2 Neural Computation
2 Applied Mathematical Modelling
2 Numerical Linear Algebra with Applications
2 Computational and Applied Mathematics
2 Mathematical Methods of Operations Research
2 Journal of Machine Learning Research (JMLR)
1 Computer Methods in Applied Mechanics and Engineering
1 ACM Transactions on Mathematical Software
1 Operations Research Letters
1 Optimization
1 Mathematical and Computer Modelling
1 Machine Learning
1 Applications of Mathematics
1 Journal of Global Optimization
1 Linear Algebra and its Applications
1 SIAM Review
1 Computational Statistics and Data Analysis
1 Advances in Mathematical Sciences and Applications
1 Revista Investigación Operacional
1 INFORMS Journal on Computing
1 Journal of Applied Mathematics and Decision Sciences
1 Far East Journal of Applied Mathematics
1 Journal of Systems Science and Complexity
1 4OR
1 Acta Numerica
1 Nonconvex Optimization and Its Applications
1 Inverse Problems and Imaging
1 SIAM Journal on Imaging Sciences
1 Numerical Mathematics: Theory, Methods and Applications
1 Science China. Mathematics
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Cited in 21 Fields

94 Operations research, mathematical programming (90-XX)
71 Numerical analysis (65-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
8 Computer science (68-XX)
7 Statistics (62-XX)
6 Mechanics of deformable solids (74-XX)
6 Information and communication theory, circuits (94-XX)
5 Partial differential equations (35-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Fluid mechanics (76-XX)
2 Geophysics (86-XX)
2 Systems theory; control (93-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Astronomy and astrophysics (85-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year