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Author ID: gay.david-m Recent zbMATH articles by "Gay, David M."
Published as: Gay, David M.; Gay, David; Gay, D. M.
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

Publications by Year

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 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