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## Fourer, Robert

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 Author ID: fourer.robert Published as: Fourer, R.; Fourer, Robert
 Documents Indexed: 32 Publications since 1981, including 1 Book
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#### Co-Authors

 9 single-authored 5 Gay, David M. 3 Lopes, Leo 3 Martin, Richard Kipp 3 Mehrotra, Sanjay 2 Czyzyk, Joseph 2 Ma, Jun 2 Orban, Dominique 1 Anitescu, Mihai 1 Bisschop, J. J. 1 Bixby, Robert E. 1 Coullard, Collette R. 1 Dolan, Elizabeth D. 1 Dutta, Goutam 1 Ferris, Michael C. 1 Gassmann, Horand I. 1 Goux, Jean-Pierre 1 Kernighan, Brian W. 1 Maheshwari, Chandrakant 1 Marsten, Roy E. 1 Mitra, Gautam 1 Munson, Todd S. 1 Neumaier, Arnold 1 Owen, Jonathan H. 1 Sadki, Mustapha 1 Sarich, Jason 1 Schichl, Hermann 1 Valente, Christian
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#### Serials

 6 INFORMS Journal on Computing 4 Mathematical Programming. Series A. Series B 3 Mathematical Programming 3 Annals of Operations Research 3 ORSA Journal on Computing 2 Management Science 2 Computational Optimization and Applications 1 SIAM Review 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 Documenta Mathematica 1 Optimization and Engineering 1 Computational Management Science
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#### Fields

 29 Operations research, mathematical programming (90-XX) 10 Computer science (68-XX) 8 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Calculus of variations and optimal control; optimization (49-XX)

#### Citations contained in zbMATH Open

29 Publications have been cited 467 times in 374 Documents Cited by Year
A modeling language for mathematical programming. Zbl 0701.90062
Fourer, Robert; Gay, David M.; Kernighan, Brian W.
1990
A simplex algorithm for piecewise-linear programming. I: Derivation and proof. Zbl 0579.90084
Fourer, Robert
1985
A simplex algorithm for piecewise-linear programming. II: Finiteness, feasibility and degeneracy. Zbl 0656.90062
Fourer, Robert
1988
A simplex algorithm for piecewise-linear programming. III: Computational analysis and applications. Zbl 0773.90045
Fourer, Robert
1992
Solving symmetric indefinite systems in an interior-point method for linear programming. Zbl 0802.90069
Fourer, Robert; Mehrotra, Sanjay
1993
Solving staircase linear programs by the simplex method. I: Inversion. Zbl 0487.90076
Fourer, Robert
1982
Finding embedded network rows in linear programs. I: Extraction heuristics. Zbl 0639.90064
Bixby, Robert E.; Fourer, Robert
1988
Staircase matrices and systems. Zbl 0536.65020
Fourer, Robert
1984
Convexity and concavity detection in computational graphs: tree walks for convexity assessment. Zbl 1243.90004
Fourer, Robert; Maheshwari, Chandrakant; Neumaier, Arnold; Orban, Dominique; Schichl, Hermann
2010
Solving staircase linear programs by the simplex method. II: Pricing. Zbl 0506.90054
Fourer, Robert
1983
OSiL: An instance language for optimization. Zbl 1189.90007
Fourer, Robert; Ma, Jun; Martin, Kipp
2010
Experience with a primal presolve algorithm. Zbl 0816.90101
Fourer, Robert; Gay, David M.
1994
Extending algebraic modelling languages for stochastic programming. Zbl 1243.90011
Valente, Christian; Mitra, Gautam; Sadki, Mustapha; Fourer, Robert
2009
Extending an algebraic modeling language to support constraint programming. Zbl 1238.90113
Fourer, Robert; Gay, David M.
2002
Expressing complementarity problems in an algebraic modeling language and communicating them to solvers. Zbl 0997.90087
Ferris, Michael C.; Fourer, Robert; Gay, David M.
1999
Expressing special structures in an algebraic modeling language for mathematical programming. Zbl 0859.90096
Fourer, Robert; Gay, David M.
1995
A study of the augmented system and column-splitting approaches for solving two-stage stochastic linear programs by interior-point methods. Zbl 0843.90084
Czyzyk, Joseph; Fourer, Robert; Mehrotra, Sanjay
1995
Solving piecewise-linear programs: Experiments with a simplex approach. Zbl 0758.90057
Fourer, Robert; Marsten, Roy E.
1992
Solving staircase linear programs by the simplex method. I: Inversion. Zbl 0538.90051
Fourer, Robert
1981
DrAmpl: A meta solver for optimization problem analysis. Zbl 1243.90005
Fourer, Robert; Orban, Dominique
2010
StAMPL: A filtration-oriented modeling tool for multistage stochastic recourse problems. Zbl 1243.90003
Fourer, Robert; Lopes, Leo
2009
LPFML: A W3C XML schema for linear and integer programming. Zbl 1239.90071
Fourer, Robert; Lopes, Leo; Martin, Kipp
2005
Kestrel: an interface from optimization modeling systems to the NEOS server. Zbl 1243.90002
Dolan, Elizabeth D.; Fourer, Robert; Goux, Jean-Pierre; Munson, Todd S.; Sarich, Jason
2008
Using a massively parallel processor to solve large sparse linear programs by an interior-point method. Zbl 0913.65048
Czyzyk, Joseph; Fourer, Robert; Mehrotra, Sanjay
1998
New constructs for the description of combinatorial optimization problems in algebraic modeling languages. Zbl 0852.90114
Bisschop, J. J.; Fourer, Robert
1996
On the evolution of optimization modeling systems. Zbl 1267.01039
Fourer, Robert
2012
An XML-based schema for stochastic programs. Zbl 1163.90683
Fourer, R.; Gassmann, H. I.; Ma, J.; Martin, R. K.
2009
A management system for decompositions in stochastic programming. Zbl 1101.90046
Fourer, Robert; Lopes, Leo
2006
An optimization-based decision support system for strategic and operational planning in process industries. Zbl 1151.90456
Dutta, Goutam; Fourer, Robert
2004
On the evolution of optimization modeling systems. Zbl 1267.01039
Fourer, Robert
2012
Convexity and concavity detection in computational graphs: tree walks for convexity assessment. Zbl 1243.90004
Fourer, Robert; Maheshwari, Chandrakant; Neumaier, Arnold; Orban, Dominique; Schichl, Hermann
2010
OSiL: An instance language for optimization. Zbl 1189.90007
Fourer, Robert; Ma, Jun; Martin, Kipp
2010
DrAmpl: A meta solver for optimization problem analysis. Zbl 1243.90005
Fourer, Robert; Orban, Dominique
2010
Extending algebraic modelling languages for stochastic programming. Zbl 1243.90011
Valente, Christian; Mitra, Gautam; Sadki, Mustapha; Fourer, Robert
2009
StAMPL: A filtration-oriented modeling tool for multistage stochastic recourse problems. Zbl 1243.90003
Fourer, Robert; Lopes, Leo
2009
An XML-based schema for stochastic programs. Zbl 1163.90683
Fourer, R.; Gassmann, H. I.; Ma, J.; Martin, R. K.
2009
Kestrel: an interface from optimization modeling systems to the NEOS server. Zbl 1243.90002
Dolan, Elizabeth D.; Fourer, Robert; Goux, Jean-Pierre; Munson, Todd S.; Sarich, Jason
2008
A management system for decompositions in stochastic programming. Zbl 1101.90046
Fourer, Robert; Lopes, Leo
2006
LPFML: A W3C XML schema for linear and integer programming. Zbl 1239.90071
Fourer, Robert; Lopes, Leo; Martin, Kipp
2005
An optimization-based decision support system for strategic and operational planning in process industries. Zbl 1151.90456
Dutta, Goutam; Fourer, Robert
2004
Extending an algebraic modeling language to support constraint programming. Zbl 1238.90113
Fourer, Robert; Gay, David M.
2002
Expressing complementarity problems in an algebraic modeling language and communicating them to solvers. Zbl 0997.90087
Ferris, Michael C.; Fourer, Robert; Gay, David M.
1999
Using a massively parallel processor to solve large sparse linear programs by an interior-point method. Zbl 0913.65048
Czyzyk, Joseph; Fourer, Robert; Mehrotra, Sanjay
1998
New constructs for the description of combinatorial optimization problems in algebraic modeling languages. Zbl 0852.90114
Bisschop, J. J.; Fourer, Robert
1996
Expressing special structures in an algebraic modeling language for mathematical programming. Zbl 0859.90096
Fourer, Robert; Gay, David M.
1995
A study of the augmented system and column-splitting approaches for solving two-stage stochastic linear programs by interior-point methods. Zbl 0843.90084
Czyzyk, Joseph; Fourer, Robert; Mehrotra, Sanjay
1995
Experience with a primal presolve algorithm. Zbl 0816.90101
Fourer, Robert; Gay, David M.
1994
Solving symmetric indefinite systems in an interior-point method for linear programming. Zbl 0802.90069
Fourer, Robert; Mehrotra, Sanjay
1993
A simplex algorithm for piecewise-linear programming. III: Computational analysis and applications. Zbl 0773.90045
Fourer, Robert
1992
Solving piecewise-linear programs: Experiments with a simplex approach. Zbl 0758.90057
Fourer, Robert; Marsten, Roy E.
1992
A modeling language for mathematical programming. Zbl 0701.90062
Fourer, Robert; Gay, David M.; Kernighan, Brian W.
1990
A simplex algorithm for piecewise-linear programming. II: Finiteness, feasibility and degeneracy. Zbl 0656.90062
Fourer, Robert
1988
Finding embedded network rows in linear programs. I: Extraction heuristics. Zbl 0639.90064
Bixby, Robert E.; Fourer, Robert
1988
A simplex algorithm for piecewise-linear programming. I: Derivation and proof. Zbl 0579.90084
Fourer, Robert
1985
Staircase matrices and systems. Zbl 0536.65020
Fourer, Robert
1984
Solving staircase linear programs by the simplex method. II: Pricing. Zbl 0506.90054
Fourer, Robert
1983
Solving staircase linear programs by the simplex method. I: Inversion. Zbl 0487.90076
Fourer, Robert
1982
Solving staircase linear programs by the simplex method. I: Inversion. Zbl 0538.90051
Fourer, Robert
1981
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#### Cited by 703 Authors

 12 Trélat, Emmanuel 11 Zuazua, Enrique 10 Fourer, Robert 8 Mitra, Gautam 7 Maurer, Helmut 7 Newman, Alexandra M. 6 Kaya, C. Yalçin 5 D’Ambrosio, Claudia 5 Fernandes, Edite M. G. P. 5 Kallio, Markku 5 Leyffer, Sven 5 Mehrotra, Sanjay 5 Munson, Todd S. 5 Neumaier, Arnold 5 Vaz, A. Ismael F. 4 Gassmann, Horand I. 4 Larsson, Torbjörn 4 Mészáros, Csaba 4 Sahinidis, Nikolaos V. 4 Zenios, Stavros Andrea 3 Armand, Paul 3 Benson, Hande Y. 3 Biegler, Lorenz T. 3 Bisschop, J. J. 3 Burachik, Regina Sandra 3 Cafieri, Sonia 3 Cai, Yongyang 3 Castro, Jordi 3 Chinneck, John W. 3 Curtis, Frank E. 3 Fábián, Csaba I. 3 Fleten, Stein-Erik 3 Gondzio, Jacek 3 Judd, Kenneth L. 3 Kirches, Christian 3 Kuip, C. A. C. 3 Lodi, Andrea 3 Lubin, Miles 3 Ma, Jun 3 Maros, István 3 Martin, Richard Kipp 3 Misener, Ruth 3 Omheni, Riadh 3 Orban, Dominique 3 Premoli, Amedeo 3 Privat, Yannick 3 Punnen, Abraham P. 3 Rosa, Charles H. 3 Ruszczyński, Andrzej 3 Shanno, David F. 3 Toint, Philippe L. 3 Vossen, Georg 3 Wächter, Andreas 2 Baharev, Ali 2 Beasley, John E. 2 Belotti, Pietro 2 Benoist, Joël 2 Birge, John R. 2 Boland, Natashia L. 2 Camponogara, Eduardo 2 Carrizosa, Emilio 2 Corchero, Cristina 2 Després, Bruno 2 Drezner, Zvi 2 Drud, Arne Stolbjerg 2 Dunning, Iain 2 Ferreira, Deisemara 2 Ferris, Michael C. 2 Fletcher, Roger 2 Floudas, Christodoulos Achilleus 2 Ghiani, Gianpaolo 2 Gill, Philip E. 2 Gomes, M. Paula S. F. 2 Grothey, Andreas 2 Güder, Faruk 2 Guerrero, Vanesa 2 Gulpinar, Nalan 2 Halme, Merja 2 Harrison, W. Jill 2 Heredia, F. Javier 2 Hermanns, Torsten 2 Hilli, Petri 2 Hobbs, Benjamin F. 2 Hochbaum, Dorit S. 2 Huang, Kuo-Ling 2 Huang, XiaoLin 2 Ireland, A. M. 2 Jayakumar, Maliyakal D. 2 Labbé, Martine V. 2 Lohéac, Jérôme 2 Lucas, Cormac A. 2 Malo, Pekka 2 Manni, Emanuele 2 Martínez, José Mario 2 Moody, Shirley 2 Morabito, Reinaldo 2 Murray, Walter 2 Nabona, Narcís 2 Noyan, Nilay 2 Pandey, Pooja ...and 603 more Authors
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#### Cited in 85 Serials

 69 European Journal of Operational Research 35 Computers & Operations Research 31 Mathematical Programming. Series A. Series B 27 Annals of Operations Research 20 Computational Optimization and Applications 15 Journal of Optimization Theory and Applications 14 Mathematical Programming Computation 9 Journal of Global Optimization 9 Optimization Methods & Software 9 Optimization and Engineering 7 Mathematical Programming 6 Journal of Computational and Applied Mathematics 5 Computational Management Science 4 Applied Mathematics and Computation 4 Optimization 4 SIAM Journal on Optimization 3 Discrete Applied Mathematics 3 Numerical Algorithms 3 Computational Economics 3 Top 3 Constraints 3 INFORMS Journal on Computing 3 Mathematical Methods of Operations Research 3 Optimization Letters 2 Artificial Intelligence 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 SIAM Journal on Control and Optimization 2 Optimal Control Applications & Methods 2 Operations Research Letters 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Economic Dynamics & Control 2 Mathematical and Computer Modelling 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 SIAM Review 2 Numerical Linear Algebra with Applications 2 International Transactions in Operational Research 2 Networks and Spatial Economics 2 Journal of Industrial and Management Optimization 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Psychometrika 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Journal of Pure and Applied Algebra 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Networks 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Opsearch 1 Theoretical Computer Science 1 OR Spektrum 1 Applied Numerical Mathematics 1 Journal of Computer Science and Technology 1 Discrete & Computational Geometry 1 Asia-Pacific Journal of Operational Research 1 SIAM Journal on Matrix Analysis and Applications 1 Real-Time Systems 1 Economics Letters 1 Computational Geometry 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Calculus of Variations and Partial Differential Equations 1 Journal of Multi-Criteria Decision Analysis 1 Annals of Mathematics and Artificial Intelligence 1 Reliable Computing 1 European Journal of Control 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Journal of Combinatorial Optimization 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Higher-Order and Symbolic Computation 1 Journal of Machine Learning Research (JMLR) 1 Communications on Pure and Applied Analysis 1 Discrete Optimization 1 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Biological Dynamics 1 Electronic Journal of Statistics 1 Quantitative Economics 1 Croatian Operational Research Review (CRORR) 1 Mathematical Control and Related Fields
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#### Cited in 26 Fields

 312 Operations research, mathematical programming (90-XX) 83 Numerical analysis (65-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 44 Computer science (68-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Systems theory; control (93-XX) 12 Partial differential equations (35-XX) 11 Biology and other natural sciences (92-XX) 8 Combinatorics (05-XX) 8 Statistics (62-XX) 6 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)