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## Fourer, Robert

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 Author ID: fourer.robert Published as: Fourer, Robert; Fourer, R.
 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 382 times in 293 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
Experience with a primal presolve algorithm. Zbl 0816.90101
Fourer, Robert; Gay, David M.
1994
OSiL: An instance language for optimization. Zbl 1189.90007
Fourer, Robert; Ma, Jun; Martin, Kipp
2010
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
Expressing special structures in an algebraic modeling language for mathematical programming. Zbl 0859.90096
Fourer, Robert; Gay, David M.
1995
Extending algebraic modelling languages for stochastic programming. Zbl 1243.90011
Valente, Christian; Mitra, Gautam; Sadki, Mustapha; Fourer, Robert
2009
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
Solving piecewise-linear programs: Experiments with a simplex approach. Zbl 0758.90057
Fourer, Robert; Marsten, Roy E.
1992
Extending an algebraic modeling language to support constraint programming. Zbl 1238.90113
Fourer, Robert; Gay, David M.
2002
DrAmpl: A meta solver for optimization problem analysis. Zbl 1243.90005
Fourer, Robert; Orban, Dominique
2010
Solving staircase linear programs by the simplex method. I: Inversion. Zbl 0538.90051
Fourer, Robert
1981
LPFML: A W3C XML schema for linear and integer programming. Zbl 1239.90071
Fourer, Robert; Lopes, Leo; Martin, Kipp
2005
StAMPL: A filtration-oriented modeling tool for multistage stochastic recourse problems. Zbl 1243.90003
Fourer, Robert; Lopes, Leo
2009
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
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
An optimization-based decision support system for strategic and operational planning in process industries. Zbl 1151.90456
Dutta, Goutam; Fourer, Robert
2004
An XML-based schema for stochastic programs. Zbl 1163.90683
Fourer, R.; Gassmann, H. I.; Ma, J.; Martin, R. K.
2009
On the evolution of optimization modeling systems. Zbl 1267.01039
Fourer, Robert
2012
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
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
Expressing special structures in an algebraic modeling language for mathematical programming. Zbl 0859.90096
Fourer, Robert; Gay, David M.
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 543 Authors

 11 Trélat, Emmanuel 10 Fourer, Robert 9 Zuazua, Enrique 7 Mitra, Gautam 5 Fernandes, Edite M. G. P. 5 Kaya, C. Yalçin 5 Leyffer, Sven 5 Mehrotra, Sanjay 5 Munson, Todd S. 5 Vaz, A. Ismael F. 4 D’Ambrosio, Claudia 4 Gassmann, Horand I. 4 Maurer, Helmut 4 Mészáros, Csaba 4 Sahinidis, Nikolaos V. 4 Zenios, Stavros Andrea 3 Benson, Hande Y. 3 Biegler, Lorenz T. 3 Bisschop, J. J. 3 Cai, Yongyang 3 Curtis, Frank E. 3 Fábián, Csaba I. 3 Gondzio, Jacek 3 Judd, Kenneth L. 3 Kallio, Markku 3 Kirches, Christian 3 Kuip, C. A. C. 3 Larsson, Torbjörn 3 Lodi, Andrea 3 Lubin, Miles 3 Ma, Jun 3 Martin, Richard Kipp 3 Misener, Ruth 3 Neumaier, Arnold 3 Newman, Alexandra M. 3 Orban, Dominique 3 Premoli, Amedeo 3 Punnen, Abraham P. 3 Ruszczyński, Andrzej 3 Shanno, David F. 3 Toint, Philippe L. 3 Wächter, Andreas 2 Armand, Paul 2 Baharev, Ali 2 Burachik, Regina Sandra 2 Després, Bruno 2 Drud, Arne Stolbjerg 2 Dunning, Iain 2 Ferris, Michael C. 2 Floudas, Christodoulos Achilleus 2 Gill, Philip E. 2 Gomes, M. Paula S. F. 2 Güder, Faruk 2 Gulpinar, Nalan 2 Harrison, W. Jill 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 Maros, István 2 Martínez, José Mario 2 Moody, Shirley 2 Murray, Walter 2 Omheni, Riadh 2 Pandey, Pooja 2 Pang, Jong-Shi 2 Pearson, Kenneth Robert 2 Pennanen, Teemu 2 Pinar, Mustafa Çelebi 2 Pouchol, Camille 2 Prékopa, András 2 Privat, Yannick 2 Puranik, Yash 2 Rizvi, M. M. 2 Rocha, Ana Maria A. C. 2 Roman, Diana 2 Rönnberg, Elina 2 Rosa, Charles H. 2 Saunders, Michael A. 2 Schenk, Olaf 2 Siirola, John D. 2 Sinha, Ankur 2 Suhl, Uwe H. 2 Ukovich, Walter 2 Vicente, Luis Nunes 2 Vielma, Juan Pablo 2 Vigerske, Stefan 2 Vinkó, Tamás 2 Vossen, Georg 2 Wang, Shuning 2 Watson, Jean-Paul 2 Wright, Margaret H. ...and 443 more Authors
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#### Cited in 74 Serials

 31 Mathematical Programming. Series A. Series B 29 European Journal of Operational Research 27 Annals of Operations Research 20 Computational Optimization and Applications 15 Journal of Optimization Theory and Applications 15 Computers & Operations Research 14 Mathematical Programming Computation 9 Journal of Global Optimization 9 Optimization Methods & Software 9 Optimization and Engineering 7 Mathematical Programming 5 Computational Management Science 4 Optimization 4 SIAM Journal on Optimization 4 Optimization Letters 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 2 Journal of Mathematical Biology 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Optimal Control Applications & Methods 2 Operations Research Letters 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 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 Artificial Intelligence 1 Archive for Rational Mechanics and Analysis 1 Psychometrika 1 Applied Mathematics and Optimization 1 Journal of Pure and Applied Algebra 1 Kybernetika 1 Networks 1 Opsearch 1 OR Spektrum 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Computer Science and Technology 1 Discrete & Computational Geometry 1 Asia-Pacific Journal of Operational Research 1 Journal of Economic Dynamics & Control 1 SIAM Journal on Matrix Analysis and Applications 1 Real-Time Systems 1 Economics Letters 1 Applied Mathematical Modelling 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 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 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 25 Fields

 242 Operations research, mathematical programming (90-XX) 71 Numerical analysis (65-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 36 Computer science (68-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Systems theory; control (93-XX) 9 Partial differential equations (35-XX) 8 Biology and other natural sciences (92-XX) 6 Fluid mechanics (76-XX) 5 Combinatorics (05-XX) 5 Statistics (62-XX) 4 Ordinary differential equations (34-XX) 2 Linear and multilinear algebra; matrix theory (15-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) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX)