## PLCP

 swMATH ID: 4795 Software Authors: Frederic BONNANS, Mounir HADDOU Description: The software contains some functions and drivers for solving LP problems of the form min c’x s.t Ax=b; x>=0 by a large neihghborhood infeasible predictor_corrector algorithm. It is based on Newton steps on the perturbed optimality system x.*s = m * 1 Ax = b c + A’lambda = s x>= 0 , s>=0 m–>0 The matrix A may be either full or sparse; computations are made accordingly. This is a software based on either SCILAB or matlab for solving large scale linear programming problems. It can be freely used for non commercial use. Homepage: http://www.cmap.polytechnique.fr/~bonnans/www-sydoco/software/pclp.html Related Software: SQPlab; Ipopt; Matlab; GradSamp; LBFGS-B; L-BFGS; SNOPT; Gurobi; Mosek; LDGB; UNLocBoX; SeDuMi; SLQP-GS; PNEW; LANCELOT; GloptiPoly; SDPT3; DGM; KELLEY; YALMIP Cited in: 241 Publications
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### Cited by 448 Authors

 22 Solodov, Mikhail V. 17 Sagastizábal, Claudia A. 8 de Oliveira, Welington Luis 8 Gilbert, Jean Charles 7 Izmailov, Alekseĭ F. 7 Van Ackooij, Wim 6 Jian, Jinbao 5 Tang, Chunming 4 Bonnans, Joseph Frédéric 4 Lemaréchal, Claude 4 Strekalovskiĭ, Aleksandr Sergeevich 3 Belloni, Alexandre 3 Dentcheva, Darinka 3 Ellabib, Abdellatif 3 Fercoq, Olivier 3 Helou, Elias Salomão 3 Luna, Juan Pablo 3 Malick, Jérôme 3 Orlov, Andreĭ Vasil’evich 3 Ouakrim, Youssef 3 Pang, Liping 3 Ribeiro, Ademir Alves 3 Santos, Sandra Augusta 3 Schmidt, Martin 3 Simões, Lucas Eduardo Azevedo 2 Allaire, Grégoire 2 Apkarian, Pierre 2 Ben Gharbia, Ibtihel 2 Billy, Frédérique 2 Bolte, Jérôme 2 Bruyneel, Michaël 2 Chen, Ke 2 Chouzenoux, Emilie 2 Clairambault, Jean 2 Couckuyt, Ivo 2 Dabaghi, Jad 2 Dhaene, Tom 2 Ewald, Christian-Oliver 2 Frangioni, Antonio 2 Geers, Marc G. D. 2 Griewank, Andreas 2 Hare, Warren L. 2 Herskovits, Jose Norman 2 Herty, Michael Matthias 2 Jetteur, Philippe 2 Karas, Elizabeth W. 2 Kleinert, Thomas 2 Kouri, Drew P. 2 Lacalandra, Fabrizio 2 Lanckriet, Gert R. G. 2 Liu, Chongyang 2 Liu, Shuai 2 Lotito, Pablo A. 2 Métivier, Ludovic 2 Nikolova, Mila 2 Noll, Dominikus 2 Outrata, Jiří V. 2 Parente, Lisandro A. 2 Pauwels, Edouard Jean Robert 2 Pázman, Andrej 2 Peerlings, Ron H. J. 2 Planiden, Chayne 2 Ramírez C., Héctor 2 Rokoš, Ondřej 2 Sarabi, M. Ebrahim 2 Shi, Ye 2 Sriperumbudur, Bharath K. 2 Surowiec, Thomas 2 Tahanan, Milad 2 Tuan, Hoang Duong 2 Walther, Andrea 2 Wang, Jinhe 2 Wang, Yun 2 Wolfhagen, Eli 2 Wu, Qi 2 Yu, Bo 2 Zhang, Liwei 1 Acary, Vincent 1 Adam, Lukáš 1 Addoum, Ahmad 1 Alart, Pierre 1 Almeida Guimarães, Dilson 1 Ameen, Muhsin M. 1 Ameline, Olivier 1 Amstutz, Samuel 1 An, Kaiqi 1 Andrade Santos, Sandrina Rafaela 1 Antczak, Tadeusz 1 Antil, Harbir 1 Arbez, Gilbert 1 Armand, Paul 1 Asllanaj, Fatmir 1 Aubertine, Jacob 1 Bach, Francis R. 1 Bahiense, Laura 1 Bajaj, Anuj 1 Baldanzini, Niccolò 1 Barbarosie, Cristian 1 Bärmann, Andreas 1 Basdevant, Claude ...and 348 more Authors
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### Cited in 101 Serials

 20 Mathematical Programming. Series A. Series B 12 Journal of Optimization Theory and Applications 11 Computational Optimization and Applications 11 Optimization Methods & Software 9 SIAM Journal on Optimization 7 Computer Methods in Applied Mechanics and Engineering 7 Set-Valued and Variational Analysis 6 Journal of Computational Physics 5 Mathematics of Operations Research 5 Applied Mathematical Modelling 5 Optimization and Engineering 4 Optimization 4 Annals of Operations Research 4 Journal of Global Optimization 4 European Journal of Operational Research 4 Journal of Mathematical Imaging and Vision 3 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 3 Information Sciences 3 Mathematics and Computers in Simulation 3 Applied Numerical Mathematics 3 Structural and Multidisciplinary Optimization 3 Optimization Letters 2 Inverse Problems 2 Journal of Computational and Applied Mathematics 2 Numerical Functional Analysis and Optimization 2 Computers & Operations Research 2 Asia-Pacific Journal of Operational Research 2 SIAM Journal on Matrix Analysis and Applications 2 Numerical Algorithms 2 Computational Statistics and Data Analysis 2 Computational and Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical Methods of Operations Research 2 International Journal of Theoretical and Applied Finance 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Management Science 2 Journal of Industrial and Management Optimization 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 EURO Journal on Computational Optimization 2 Universitext 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Bulletin of Mathematical Biology 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 BIT 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Parallel and Distributed Computing 1 Machine Learning 1 Neural Computation 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Automation and Remote Control 1 Linear Algebra and its Applications 1 SIAM Review 1 Statistical Papers 1 International Journal of Computer Vision 1 Journal of Convex Analysis 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Annals of Mathematics and Artificial Intelligence 1 Revista Investigación Operacional 1 Mathematical Problems in Engineering 1 Journal of Inequalities and Applications 1 Interdisciplinary Information Sciences (IIS) 1 Computational Geosciences 1 RAIRO. Operations Research 1 Nonlinear Analysis. Real World Applications 1 Quantitative Finance 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 4OR 1 International Journal of Computational Methods 1 Mediterranean Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Discrete Optimization 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathématiques & Applications (Berlin) 1 Lecture Notes in Applied and Computational Mechanics 1 Advances in Data Analysis and Classification. ADAC 1 Communications in Computational Physics 1 Electronic Journal of Statistics 1 SIAM Journal on Imaging Sciences 1 Foundations and Trends in Computer Graphics and Vision 1 Radon Series on Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Geosciences 1 Journal of Control Science and Engineering 1 Mathematical Programming Computation 1 International Journal of Structural Stability and Dynamics 1 Journal of Function Spaces 1 Pacific Journal of Mathematics for Industry 1 AIMS Mathematics 1 SN Operations Research Forum ...and 1 more Serials
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### Cited in 28 Fields

 168 Operations research, mathematical programming (90-XX) 88 Numerical analysis (65-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Mechanics of deformable solids (74-XX) 13 Computer science (68-XX) 13 Systems theory; control (93-XX) 12 Partial differential equations (35-XX) 11 Statistics (62-XX) 9 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 6 Probability theory and stochastic processes (60-XX) 6 Fluid mechanics (76-XX) 5 Geophysics (86-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-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)