Edit Profile (opens in new tab) Gay, David M. Co-Author Distance Author ID: gay.david-m Published as: Gay, David M.; Gay, David; Gay, D. M. more...less External Links: MGP · dblp Documents Indexed: 43 Publications since 1977, including 1 Additional arXiv Preprint Co-Authors: 31 Co-Authors with 19 Joint Publications 620 Co-Co-Authors all top 5 Co-Authors 22 single-authored 5 Fourer, Robert 2 Bartlett, Roscoe A. 2 Boggs, Paul T. 2 Nash, Stephen G. 2 Phipps, Eric T. 2 Welsch, Roy E. 1 Al-Baali, Mehiddin 1 Anderson, Zachary 1 Beck, Eddie 1 Begel, Andrew 1 Bunch, David S. 1 Buonadonna, Philip 1 Castro, Nick 1 Cho, Ejay 1 Condit, Jeremy 1 Conn, Andrew Roger 1 Culler, David E. 1 Dennis, John E. jun. 1 Dumitru, Robert 1 Ferris, Michael C. 1 Gassmann, Horand I. 1 Griffiths, Stewart K. 1 Grosse, Eric H. 1 Harren, Matthew 1 Hoekstra, Robert J. 1 Kaufman, Linda 1 Kernighan, Brian W. 1 Lewis, Robert Michael 1 Long, Kevin R. 1 Mannan, Mohammed 1 Mehta, Dipen 1 Meier, Jeffrey 1 Nealey, Alexander 1 Necula, George C. 1 Nilson, Robert H. 1 Overton, Michael L. 1 Pandya, Anish 1 Perian, Quinn 1 Schnabel, Robert B. 1 Toint, Philippe Louis 1 Wright, Margaret H. all top 5 Serials 4 ACM Transactions on Mathematical Software 4 SIAM Journal on Numerical Analysis 2 Mathematics of Computation 2 SIAM Journal on Optimization 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Management Science 1 Mathematical Programming 1 SIAM Journal on Scientific and Statistical Computing 1 ORSA Journal on Computing 1 Linear Algebra and its Applications 1 INFORMS Journal on Computing 1 Concurrency and Computation: Practice & Experience 1 Numerical Mathematics: Theory, Methods and Applications all top 5 Fields 26 Numerical analysis (65-XX) 20 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 3 Statistics (62-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 632 times in 576 Documents Cited by ▼ Year ▼ A modeling language for mathematical programming. Zbl 0701.90062 Fourer, Robert; Gay, David M.; Kernighan, Brian W. 218 1990 Computing optimal locally constrained steps. Zbl 0467.65027 Gay, David M. 98 1981 An adaptive nonlinear least-squares algorithm. Zbl 0464.65040 Dennis, John E. jun.; Gay, David M.; Welsch, Roy E. 67 1981 A variant of Karmarkar’s linear programming algorithm for problems in standard form. Zbl 0629.90056 Gay, David M. 42 1987 Some convergence properties of Broyden’s method. Zbl 0453.65034 Gay, David M. 29 1979 A primal-dual interior method for nonconvex nonlinear programming. Zbl 0908.90236 Gay, David M.; Overton, Michael L.; Wright, Margaret H. 27 1998 Subroutines for unconstrained minimization using a model/ trust-region approach. Zbl 0519.65039 Gay, David M. 22 1983 Solving interval linear equations. Zbl 0497.65018 Gay, David M. 17 1982 Automatic differentiation of C++ codes for large-scale scientific computing. Zbl 1157.65333 Bartlett, Roscoe A.; Gay, David M.; Phipps, Eric T. 11 2006 Solving systems of nonlinear equations by Broyden’s method with projected updates. Zbl 0464.65024 Gay, David M.; Schnabel, Robert B. 10 1978 More AD of nonlinear AMPL models: Computing Hessian information and exploiting partial separability. Zbl 0866.65018 Gay, David M. 9 1996 Experience with a primal presolve algorithm. Zbl 0816.90101 Fourer, Robert; Gay, David M. 8 1994 Algorithm 717: Subroutines for maximum likelihood and quasi-likelihood estimation parameters in nonlinear regression models. Zbl 0889.65149 Bunch, David S.; Gay, David M.; Welsch, Roy E. 7 1993 Expressing complementarity problems in an algebraic modeling language and communicating them to solvers. Zbl 0997.90087 Ferris, Michael C.; Fourer, Robert; Gay, David M. 6 1999 Semiautomatic differentiation for efficient gradient computations. Zbl 1270.65012 Gay, David M. 6 2006 Interval least squares - a diagnostic tool. Zbl 0658.65149 Gay, David M. 5 1988 A trust-region approach to linearly constrained optimization. Zbl 0531.65036 Gay, David M. 5 1984 Automatic differentiation of nonlinear AMPL models. Zbl 0782.65026 Gay, David 5 1991 Expressing special structures in an algebraic modeling language for mathematical programming. Zbl 0859.90096 Fourer, Robert; Gay, David M. 5 1995 Computing perturbation bounds for nonlinear algebraic equations. Zbl 0514.65032 Gay, David M. 4 1983 Extending an algebraic modeling language to support constraint programming. Zbl 1238.90113 Fourer, Robert; Gay, David M. 4 2002 Perturbation bounds for nonlinear equations. Zbl 0466.65029 Gay, David M. 4 1981 The AMPL modeling language: an aid to formulating and solving optimization problems. Zbl 1348.90009 Gay, David M. 4 2015 Symbolic-algebraic computations in a modeling language for mathematical programming. Zbl 0978.68138 Gay, David M. 3 2001 Stopping tests that compute optimal solutions for interior-point linear programming algorithms. Zbl 0813.90082 Gay, David M. 3 1991 Large-scale transient sensitivity analysis of a radiation-damaged bipolar junction transistor via automatic differentiation. Zbl 1147.78003 Phipps, Eric T.; Bartlett, Roscoe A.; Gay, David M.; Hoekstra, Robert J. 3 2008 Optimization algorithms for hierarchical problems with application to nano-porous materials. (Optimization algorithms for hierarchical problems with application to nanoporous materials.) Zbl 1266.49064 Boggs, Paul T.; Gay, David M.; Griffiths, Stewart K.; Lewis, Robert Michael; Long, Kevin R.; Nash, Stephen; Nilson, Robert H. 3 2012 Massive memory buys little speed for complete, in-core sparse Cholesky factorizations on some scalar computers. Zbl 0727.65016 Gay, David M. 2 1991 Modifying singular values: Existence of solutions to systems of nonlinear equations having a possibly singular Jacobian matrix. Zbl 0377.65019 Gay, David 2 1977 Doubly pointed trisection diagrams and surgery on 2-knots. Zbl 1483.57020 Gay, David; Meier, Jeffrey 2 2022 On combining the schemes of Reid and Saunders for sparse LP bases. Zbl 0424.65029 Gay, David M. 1 1979 Tradeoffs in algorithms for separable nonlinear least squares. Zbl 0776.65046 Gay, David M.; Kaufman, Linda 1 1992 Using expression graphs in optimization algorithms. Zbl 1242.90131 Gay, David M. 1 2012 Doubly pointed trisection diagrams and surgery on 2-knots. Zbl 1483.57020 Gay, David; Meier, Jeffrey 2 2022 The AMPL modeling language: an aid to formulating and solving optimization problems. Zbl 1348.90009 Gay, David M. 4 2015 Optimization algorithms for hierarchical problems with application to nano-porous materials. (Optimization algorithms for hierarchical problems with application to nanoporous materials.) Zbl 1266.49064 Boggs, Paul T.; Gay, David M.; Griffiths, Stewart K.; Lewis, Robert Michael; Long, Kevin R.; Nash, Stephen; Nilson, Robert H. 3 2012 Using expression graphs in optimization algorithms. Zbl 1242.90131 Gay, David M. 1 2012 Large-scale transient sensitivity analysis of a radiation-damaged bipolar junction transistor via automatic differentiation. Zbl 1147.78003 Phipps, Eric T.; Bartlett, Roscoe A.; Gay, David M.; Hoekstra, Robert J. 3 2008 Automatic differentiation of C++ codes for large-scale scientific computing. Zbl 1157.65333 Bartlett, Roscoe A.; Gay, David M.; Phipps, Eric T. 11 2006 Semiautomatic differentiation for efficient gradient computations. Zbl 1270.65012 Gay, David M. 6 2006 Extending an algebraic modeling language to support constraint programming. Zbl 1238.90113 Fourer, Robert; Gay, David M. 4 2002 Symbolic-algebraic computations in a modeling language for mathematical programming. Zbl 0978.68138 Gay, David M. 3 2001 Expressing complementarity problems in an algebraic modeling language and communicating them to solvers. Zbl 0997.90087 Ferris, Michael C.; Fourer, Robert; Gay, David M. 6 1999 A primal-dual interior method for nonconvex nonlinear programming. Zbl 0908.90236 Gay, David M.; Overton, Michael L.; Wright, Margaret H. 27 1998 More AD of nonlinear AMPL models: Computing Hessian information and exploiting partial separability. Zbl 0866.65018 Gay, David M. 9 1996 Expressing special structures in an algebraic modeling language for mathematical programming. Zbl 0859.90096 Fourer, Robert; Gay, David M. 5 1995 Experience with a primal presolve algorithm. Zbl 0816.90101 Fourer, Robert; Gay, David M. 8 1994 Algorithm 717: Subroutines for maximum likelihood and quasi-likelihood estimation parameters in nonlinear regression models. Zbl 0889.65149 Bunch, David S.; Gay, David M.; Welsch, Roy E. 7 1993 Tradeoffs in algorithms for separable nonlinear least squares. Zbl 0776.65046 Gay, David M.; Kaufman, Linda 1 1992 Automatic differentiation of nonlinear AMPL models. Zbl 0782.65026 Gay, David 5 1991 Stopping tests that compute optimal solutions for interior-point linear programming algorithms. Zbl 0813.90082 Gay, David M. 3 1991 Massive memory buys little speed for complete, in-core sparse Cholesky factorizations on some scalar computers. Zbl 0727.65016 Gay, David M. 2 1991 A modeling language for mathematical programming. Zbl 0701.90062 Fourer, Robert; Gay, David M.; Kernighan, Brian W. 218 1990 Interval least squares - a diagnostic tool. Zbl 0658.65149 Gay, David M. 5 1988 A variant of Karmarkar’s linear programming algorithm for problems in standard form. Zbl 0629.90056 Gay, David M. 42 1987 A trust-region approach to linearly constrained optimization. Zbl 0531.65036 Gay, David M. 5 1984 Subroutines for unconstrained minimization using a model/ trust-region approach. Zbl 0519.65039 Gay, David M. 22 1983 Computing perturbation bounds for nonlinear algebraic equations. Zbl 0514.65032 Gay, David M. 4 1983 Solving interval linear equations. Zbl 0497.65018 Gay, David M. 17 1982 Computing optimal locally constrained steps. Zbl 0467.65027 Gay, David M. 98 1981 An adaptive nonlinear least-squares algorithm. Zbl 0464.65040 Dennis, John E. jun.; Gay, David M.; Welsch, Roy E. 67 1981 Perturbation bounds for nonlinear equations. Zbl 0466.65029 Gay, David M. 4 1981 Some convergence properties of Broyden’s method. Zbl 0453.65034 Gay, David M. 29 1979 On combining the schemes of Reid and Saunders for sparse LP bases. Zbl 0424.65029 Gay, David M. 1 1979 Solving systems of nonlinear equations by Broyden’s method with projected updates. Zbl 0464.65024 Gay, David M.; Schnabel, Robert B. 10 1978 Modifying singular values: Existence of solutions to systems of nonlinear equations having a possibly singular Jacobian matrix. Zbl 0377.65019 Gay, David 2 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,037 Authors 13 Trélat, Emmanuel 11 Leyffer, Sven 11 Martínez, José Mario 10 Neumaier, Arnold 10 Zuazua, Enrique 8 Maurer, Helmut 8 Ye, Yinyu 7 Fernandes, Edite M. G. P. 7 Kaya, C. Yalçin 7 Munson, Todd S. 7 Todd, Michael J. 7 Xia, Yong 6 Anstreicher, Kurt M. 6 Erway, Jennifer B. 6 Santos, Sandra Augusta 6 Shanno, David F. 6 Wolkowicz, Henry 5 D’Ambrosio, Claudia 5 Mahdavi-Amiri, Nezam 5 Marcia, Roummel F. 5 Omheni, Riadh 5 Shen, Chungen 5 Vaz, A. Ismael F. 5 Wächter, Andreas 5 Zhang, Lei-Hong 4 Armand, Paul 4 Cai, Yongyang 4 Fourer, Robert 4 Gassmann, Horand I. 4 Judd, Kenneth L. 4 Kirches, Christian 4 Larsson, Torbjörn 4 Lukšan, Ladislav 4 Mittelmann, Hans Detlef 4 Ni, Qin 4 Orban, Dominique 4 Pham Dinh Tao 4 Yuan, Ya-xiang 4 Zhu, Honglan 3 Benoist, Joël 3 Benson, Hande Y. 3 Biegler, Lorenz T. 3 Birgin, Ernesto G. 3 Bisschop, J. J. 3 Burachik, Regina Sandra 3 Cafieri, Sonia 3 Chen, Xiaojun 3 Goldfarb, Donald 3 Gonzaga, Clóvis Caesar 3 Gould, Nicholas Ian Mark 3 Heltai, Luca 3 Hoppe, Ronald H. W. 3 Kallio, Markku 3 Kojima, Masakazu 3 Kuip, C. A. C. 3 Le Thi, Hoai An 3 Linderoth, Jeff T. 3 Lodi, Andrea 3 Lubin, Miles 3 Ma, Jun 3 Martin, Richard Kipp 3 Mitra, Gautam 3 Mohammad, Hassan 3 Mullen, Robert L. 3 Newman, Alexandra M. 3 Petrova, Svetozara I. 3 Pouchol, Camille 3 Rocha, Ana Maria A. C. 3 Spedicato, Emilio 3 Sun, Jie 3 Sun, Wenyu 3 Tapia, Richard A. 3 Torres, Delfim Fernando Marado 3 Wang, Jiulin 3 Zhang, Yin 2 Al-Baali, Mehiddin 2 Ansari, Mohammad Reza 2 Antal, Elvira 2 Arndt, Daniel 2 Baharev, Ali 2 Bangerth, Wolfgang 2 Beck, Amir 2 Becker, Roland 2 Bellavia, Stefania 2 Bidabadi, Narges 2 Braack, Malte 2 Bridewell, Will 2 Brust, Johannes J. 2 Burke, James V. 2 Byrd, Richard H. 2 Coleman, Thomas F. 2 Costa, M. Fernanda P. 2 Curtis, Frank E. 2 De Zuccoli, S. 2 den Hertog, Dick 2 Dennis, John E. jun. 2 Després, Bruno 2 DiPillo, Gianni 2 Doicu, Adrian 2 Ferris, Michael C. ...and 937 more Authors all top 5 Cited in 155 Serials 60 Mathematical Programming. Series A. Series B 38 Journal of Optimization Theory and Applications 34 Computational Optimization and Applications 24 Annals of Operations Research 20 Optimization Methods & Software 19 Journal of Global Optimization 19 European Journal of Operational Research 14 Journal of Computational and Applied Mathematics 14 Optimization and Engineering 13 SIAM Journal on Optimization 13 Mathematical Programming Computation 10 Applied Mathematics and Computation 10 Computing 8 Optimization 8 Linear Algebra and its Applications 7 Numerical Algorithms 7 Optimization Letters 6 Operations Research Letters 5 Journal of Computational Physics 5 Journal of Mathematical Analysis and Applications 5 Applied Numerical Mathematics 5 Communications in Statistics. Simulation and Computation 4 Psychometrika 4 International Journal for Numerical Methods in Engineering 4 Optimal Control Applications & Methods 4 Computers & Operations Research 4 Computational Statistics and Data Analysis 4 Computational Economics 4 SIAM Journal on Scientific Computing 4 Top 3 Computer Methods in Applied Mechanics and Engineering 3 ACM Transactions on Mathematical Software 3 Calcolo 3 Fuzzy Sets and Systems 3 Journal of Econometrics 3 Kybernetika 3 Mathematics and Computers in Simulation 3 Mathematical Programming 3 Cybernetics 3 SIAM Journal on Matrix Analysis and Applications 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 Reliable Computing 3 Constraints 3 Computational Management Science 3 Journal of Industrial and Management Optimization 2 Computers & Mathematics with Applications 2 Journal of Mathematical Biology 2 Mathematics of Computation 2 SIAM Journal on Control and Optimization 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Algorithmica 2 Mathematical and Computer Modelling 2 Machine Learning 2 Applied Mathematical Modelling 2 Computational and Applied Mathematics 2 INFORMS Journal on Computing 2 Nonlinear Dynamics 2 Mathematical Methods of Operations Research 2 Computational Geosciences 2 CEJOR. Central European Journal of Operations Research 2 Combustion Theory and Modelling 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Mathematical Modelling of Natural Phenomena 2 Quantitative Economics 2 Numerical Algebra, Control and Optimization 1 Applicable Analysis 1 Artificial Intelligence 1 Archive for Rational Mechanics and Analysis 1 The Canadian Journal of Statistics 1 Computers and Fluids 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Nonlinearity 1 Physics Letters. A 1 Annals of the Institute of Statistical Mathematics 1 Applied Mathematics and Optimization 1 BIT 1 Information Sciences 1 Journal of Pure and Applied Algebra 1 Numerische Mathematik 1 Opsearch 1 OR Spektrum 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Computer Science and Technology 1 Discrete & Computational Geometry 1 Computational Mechanics 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Trabajos de Investigacion Operativa 1 Economics Letters 1 The Journal of Supercomputing 1 Automation and Remote Control 1 Communications in Statistics. Theory and Methods 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Statistical Computation and Simulation 1 SIAM Review ...and 55 more Serials all top 5 Cited in 37 Fields 391 Operations research, mathematical programming (90-XX) 230 Numerical analysis (65-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 51 Computer science (68-XX) 38 Statistics (62-XX) 34 Systems theory; control (93-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Biology and other natural sciences (92-XX) 18 Fluid mechanics (76-XX) 13 Mechanics of deformable solids (74-XX) 12 Partial differential equations (35-XX) 10 Ordinary differential equations (34-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of particles and systems (70-XX) 6 Geophysics (86-XX) 5 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Combinatorics (05-XX) 3 Convex and discrete geometry (52-XX) 3 Optics, electromagnetic theory (78-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year