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McCormick, Garth Philip

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Author ID: mccormick.garth-philip Recent zbMATH articles by "McCormick, Garth Philip"
Published as: McCormick, G.; McCormick, G. P.; McCormick, Garth P.; McCormick, Garth Philip
Documents Indexed: 40 Publications since 1966, including 5 Books

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 1,419 times in 1,280 Documents Cited by Year
Nonlinear programming: Sequential unconstrained minimization techniques. Zbl 0193.18805
Fiacco, A. V.; McCormick, G. P.
587
1968
Computability of global solutions to factorable nonconvex programs. I: Convex underestimating problems. Zbl 0349.90100
McCormick, Garth P.
357
1976
Nonlinear programming: sequential unconstrained minimization techniques. Unabridged, corrected republication. Zbl 0713.90043
Fiacco, Anthony V.; McCormick, Garth P.
79
1990
Nonlinear programming. Theory, algorithms, and applications. Zbl 0563.90068
McCormick, Garth P.
65
1983
Second order conditions for constrained minima. Zbl 0166.15601
McCormick, G. P.
43
1967
Selected applications of nonlinear programming. Zbl 0194.20502
Bracken, Jerome; McCormick, Garth P.
33
1968
A modification of Armijo’s step-size rule for negative curvature. Zbl 0367.90100
McCormick, Garth P.
28
1977
The projective SUMT method for convex programming. Zbl 0675.90067
McCormick, Garth P.
26
1989
The gradient projection method under mild differentiability conditions. Zbl 0237.49019
McCormick, G. P.; Tapia, R. A.
20
1972
The slacked unconstrained minimization technique for convex programming. Zbl 0183.22801
Fiacco, A. V.; McCormick, G. P.
16
1967
The variable reduction method for nonlinear programming. Zbl 0209.22803
McCormick, G. P.
14
1970
Alternative proofs of the convergence properties of the conjugate- gradient method. Zbl 0261.90053
McCormick, G. P.; Ritter, K.
13
1974
Methods of conjugate directions versus quasi-Newton methods. Zbl 0247.90055
McCormick, Garth P.; Ritter, Klaus
12
1972
Extensions of SUMT for non-linear programming. Equality constraints and extrapolation. Zbl 0141.35702
Fiacco, A. V.; McCormick, G. P.
12
1966
Penalty function versus non-penalty function methods for constrained nonlinear programming problems. Zbl 0242.90051
McCormick, Garth P.
11
1971
The polyadic structure of factorable function tensors with applications to high-order minimization techniques. Zbl 0583.90080
Jackson, R. H. F.; McCormick, G. P.
10
1986
Calculation of bounds on variables satisfying nonlinear inequality constraints. Zbl 0845.90105
El-Deen Hamed, Ammar Salah; McCormick, Garth Philip
9
1993
The sequential unconstrained minimization technique (SUMT) without parameters. Zbl 0171.17905
Fiacco, A. V.; McCormick, G. P.
9
1967
The slacked unconstrained minimization technique for convex programming. Zbl 0218.90045
Fiacco, A. V.; McCormick, G. P.
8
1969
Bounding global minima. Zbl 0457.90064
Mancini, Louis J.; McCormick, Garth P.
7
1976
Attempts to calculate global solutions of problems that may have local minima. Zbl 0276.90049
McCormick, Garth P.
7
1972
Bounding global minima with interval arithmetic. Zbl 0417.90078
Mancini, Louis J.; McCormick, Garth P.
5
1979
Optimality criteria in nonlinear programming. Zbl 0341.90045
McCormick, Garth P.
5
1976
A second order method for the linearly constrained nonlinear programming problem. Zbl 0231.90049
McCormick, Garth P.
5
1970
A generalization of the method of Balakrishnan: Inequality constraints and initial conditions. Zbl 0225.49033
Jones, Arnold P.; McCormick, Garth P.
5
1970
Variable metric methods and unconstrained optimization. Zbl 0253.90055
McCormick, G. P.; Pearson, J. D.
5
1969
Derivation of near-optimal pump schedules for water distribution by simulated annealing. Zbl 1095.90044
McCormick, G.; Powell, R. S.
4
2004
Implicitly defined optimization problems. Zbl 0756.90080
DeSilva, Anura H.; McCormick, Garth P.
4
1992
An arc method for nonlinear programming. Zbl 0338.90048
McCormick, Garth P.
4
1975
Logarithmic SUMT limits in convex programming. Zbl 0985.90091
McCormick, Garth P.; Witzgall, Christoph
3
2001
Optimization with unary functions. Zbl 0734.90088
McCormick, Garth P.; Sofer, Ariela
3
1991
Locating an isolated global minimizer of a constrained nonconvex program. Zbl 0442.90080
McCormick, Garth P.
3
1980
Projection method for unconstrained optimization. Zbl 0226.49025
McCormick, G. P.; Ritter, K.
3
1972
Second-order sensitivity analysis in factorable programming: Theory and applications. Zbl 0647.90090
Jackson, Richard H. F.; McCormick, Garth P.
2
1988
Resolving the shell dual with a nonlinear primal-dual algorithm. Zbl 0814.90112
McCormick, Garth P.
1
1992
Finding the global minimum of a function of one variable using the method of constant signed higher order derivatives. Zbl 0532.49019
McCormick, Garth P.
1
1981
Derivation of near-optimal pump schedules for water distribution by simulated annealing. Zbl 1095.90044
McCormick, G.; Powell, R. S.
4
2004
Logarithmic SUMT limits in convex programming. Zbl 0985.90091
McCormick, Garth P.; Witzgall, Christoph
3
2001
Calculation of bounds on variables satisfying nonlinear inequality constraints. Zbl 0845.90105
El-Deen Hamed, Ammar Salah; McCormick, Garth Philip
9
1993
Implicitly defined optimization problems. Zbl 0756.90080
DeSilva, Anura H.; McCormick, Garth P.
4
1992
Resolving the shell dual with a nonlinear primal-dual algorithm. Zbl 0814.90112
McCormick, Garth P.
1
1992
Optimization with unary functions. Zbl 0734.90088
McCormick, Garth P.; Sofer, Ariela
3
1991
Nonlinear programming: sequential unconstrained minimization techniques. Unabridged, corrected republication. Zbl 0713.90043
Fiacco, Anthony V.; McCormick, Garth P.
79
1990
The projective SUMT method for convex programming. Zbl 0675.90067
McCormick, Garth P.
26
1989
Second-order sensitivity analysis in factorable programming: Theory and applications. Zbl 0647.90090
Jackson, Richard H. F.; McCormick, Garth P.
2
1988
The polyadic structure of factorable function tensors with applications to high-order minimization techniques. Zbl 0583.90080
Jackson, R. H. F.; McCormick, G. P.
10
1986
Nonlinear programming. Theory, algorithms, and applications. Zbl 0563.90068
McCormick, Garth P.
65
1983
Finding the global minimum of a function of one variable using the method of constant signed higher order derivatives. Zbl 0532.49019
McCormick, Garth P.
1
1981
Locating an isolated global minimizer of a constrained nonconvex program. Zbl 0442.90080
McCormick, Garth P.
3
1980
Bounding global minima with interval arithmetic. Zbl 0417.90078
Mancini, Louis J.; McCormick, Garth P.
5
1979
A modification of Armijo’s step-size rule for negative curvature. Zbl 0367.90100
McCormick, Garth P.
28
1977
Computability of global solutions to factorable nonconvex programs. I: Convex underestimating problems. Zbl 0349.90100
McCormick, Garth P.
357
1976
Bounding global minima. Zbl 0457.90064
Mancini, Louis J.; McCormick, Garth P.
7
1976
Optimality criteria in nonlinear programming. Zbl 0341.90045
McCormick, Garth P.
5
1976
An arc method for nonlinear programming. Zbl 0338.90048
McCormick, Garth P.
4
1975
Alternative proofs of the convergence properties of the conjugate- gradient method. Zbl 0261.90053
McCormick, G. P.; Ritter, K.
13
1974
The gradient projection method under mild differentiability conditions. Zbl 0237.49019
McCormick, G. P.; Tapia, R. A.
20
1972
Methods of conjugate directions versus quasi-Newton methods. Zbl 0247.90055
McCormick, Garth P.; Ritter, Klaus
12
1972
Attempts to calculate global solutions of problems that may have local minima. Zbl 0276.90049
McCormick, Garth P.
7
1972
Projection method for unconstrained optimization. Zbl 0226.49025
McCormick, G. P.; Ritter, K.
3
1972
Penalty function versus non-penalty function methods for constrained nonlinear programming problems. Zbl 0242.90051
McCormick, Garth P.
11
1971
The variable reduction method for nonlinear programming. Zbl 0209.22803
McCormick, G. P.
14
1970
A second order method for the linearly constrained nonlinear programming problem. Zbl 0231.90049
McCormick, Garth P.
5
1970
A generalization of the method of Balakrishnan: Inequality constraints and initial conditions. Zbl 0225.49033
Jones, Arnold P.; McCormick, Garth P.
5
1970
The slacked unconstrained minimization technique for convex programming. Zbl 0218.90045
Fiacco, A. V.; McCormick, G. P.
8
1969
Variable metric methods and unconstrained optimization. Zbl 0253.90055
McCormick, G. P.; Pearson, J. D.
5
1969
Nonlinear programming: Sequential unconstrained minimization techniques. Zbl 0193.18805
Fiacco, A. V.; McCormick, G. P.
587
1968
Selected applications of nonlinear programming. Zbl 0194.20502
Bracken, Jerome; McCormick, Garth P.
33
1968
Second order conditions for constrained minima. Zbl 0166.15601
McCormick, G. P.
43
1967
The slacked unconstrained minimization technique for convex programming. Zbl 0183.22801
Fiacco, A. V.; McCormick, G. P.
16
1967
The sequential unconstrained minimization technique (SUMT) without parameters. Zbl 0171.17905
Fiacco, A. V.; McCormick, G. P.
9
1967
Extensions of SUMT for non-linear programming. Equality constraints and extrapolation. Zbl 0141.35702
Fiacco, A. V.; McCormick, G. P.
12
1966
all top 5

Cited by 1,766 Authors

28 Barton, Paul I.
20 Sahinidis, Nikolaos V.
13 Floudas, Christodoulos Achilleus
12 Liberti, Leo
12 Mitsos, Alexander
11 Locatelli, Marco
10 Chachuat, Benoît
10 Mangasarian, Olvi L.
10 Scott, Joseph K.
10 Tawarmalani, Mohit
9 Kyparisis, Jerzy
9 Misener, Ruth
9 Yang, Xiaoqi
8 Grossmann, Ignacio E.
8 Lodi, Andrea
8 Shanno, David F.
8 Tapia, Richard A.
7 Dey, Santanu S.
7 Fiacco, Anthony V.
7 Gill, Philip E.
7 Khajavirad, Aida
7 Lee, Jon
7 Lin, Zhenghua
7 McCormick, Garth Philip
7 Mitchell, John E.
7 Murray, Walter
7 Obuchowska, Wiesława T.
7 Pang, Jong-Shi
7 Terlaky, Tamás
6 Benson, Harold P.
6 Caboussat, Alexandre
6 Castro, Pedro M.
6 Elloumi, Sourour
6 Jongen, Hubertus Th.
6 Linderoth, Jeff T.
6 Richard, Jean-Philippe Pascal
6 Ritter, Klaus
6 Rustem, Berc
6 Shen, Siqian
6 Stein, Oliver
6 Yu, Bo
6 Zheng, Quan
5 Belotti, Pietro
5 Best, Michael J.
5 Bonami, Pierre
5 Botsaris, C.-A. E.
5 Conn, Andrew Roger
5 D’Ambrosio, Claudia
5 Dinkel, John J.
5 El-Sobky, Bothina
5 Gupte, Akshay
5 Han, Shih-Ping
5 Harbrecht, Helmut
5 Houska, Boris
5 Khan, Kamil A.
5 Kojima, Masakazu
5 Lambert, Amélie
5 Luedtke, James R.
5 Martínez, José Mario
5 Moguerza, Javier M.
5 Moré, Jorge J.
5 Najman, Jaromił
5 Roos, Cornelis
5 Ryoo, Hong Seo
5 Saunders, Michael A.
5 Shapiro, Alexander
5 Wright, Margaret H.
5 Zhang, Yin
4 Ahmed, Shabbir
4 Ariyawansa, K. A.
4 Armand, Paul
4 Benoist, Joël
4 Bent, Russell W.
4 Billionnet, Alain
4 Caprara, Alberto
4 Falk, James E.
4 Fampa, Marcia Helena C.
4 Fang, Shu-Cherng
4 Feng, Guochen
4 Flåm, Sjur Didrik
4 Goldfarb, Donald
4 Haeser, Gabriel
4 Haugland, Dag
4 Hijazi, Hassan
4 Jin, Li
4 Koenker, Roger W.
4 Lejeune, Miguel A.
4 Lucidi, Stefano
4 Melman, Aaron
4 Monaci, Michele
4 Olivares, Alberto E.
4 Pardalos, Panos M.
4 Pintér, János D.
4 Pistikopoulos, Efstratios N.
4 Polak, Elijah (Lucien)
4 Polyak, Roman A.
4 Popov, Leonid Denisovich
4 Prieto, Francisco Javier
4 Robinson, Daniel P.
4 Robinson, Stephen M.
...and 1,666 more Authors
all top 5

Cited in 180 Serials

171 Journal of Optimization Theory and Applications
127 Journal of Global Optimization
96 Mathematical Programming. Series A. Series B
78 Mathematical Programming
71 European Journal of Operational Research
36 Computational Optimization and Applications
35 Applied Mathematics and Computation
29 Annals of Operations Research
26 Journal of Mathematical Analysis and Applications
23 Computers & Operations Research
22 Optimization
21 Journal of Computational and Applied Mathematics
21 SIAM Journal on Optimization
21 Optimization Methods & Software
20 Computers & Mathematics with Applications
19 Optimization Letters
17 Computer Methods in Applied Mechanics and Engineering
17 Automatica
14 Operations Research Letters
14 Linear Algebra and its Applications
13 Computing
12 International Journal of Systems Science
12 Numerische Mathematik
12 Mathematical Programming Computation
11 Mathematics of Computation
11 Optimization and Engineering
9 Journal of the Franklin Institute
8 INFORMS Journal on Computing
7 Applied Mathematics and Optimization
7 Numerical Functional Analysis and Optimization
7 Operations Research
7 Applied Mathematical Modelling
6 Computational Statistics and Data Analysis
6 Top
6 Discrete Optimization
6 Proceedings of the Steklov Institute of Mathematics
5 Discrete Applied Mathematics
5 Applied Numerical Mathematics
5 ZOR. Zeitschrift für Operations Research
4 International Journal for Numerical Methods in Engineering
4 Journal of Mathematical Psychology
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Optimal Control Applications & Methods
4 Cybernetics
4 Mathematical Problems in Engineering
4 Computational Management Science
3 Inverse Problems
3 Journal of Computational Physics
3 Mathematical Biosciences
3 Information Sciences
3 Journal of Approximation Theory
3 Journal of Computer and System Sciences
3 Journal of Econometrics
3 Journal of Soviet Mathematics
3 Mathematics and Computers in Simulation
3 Systems & Control Letters
3 Algorithmica
3 Neural Networks
3 Applications of Mathematics
3 SIAM Journal on Scientific Computing
3 Computational and Applied Mathematics
3 International Transactions in Operational Research
3 Constraints
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 International Journal of Applied Mathematics and Computer Science
3 International Journal of Control, I. Series
3 EURO Journal on Computational Optimization
2 Applicable Analysis
2 Artificial Intelligence
2 International Journal of Control
2 Psychometrika
2 BIT
2 Calcolo
2 Journal of Mathematical Economics
2 Journal of Statistical Planning and Inference
2 Meccanica
2 Naval Research Logistics
2 SIAM Journal on Control and Optimization
2 Acta Mathematicae Applicatae Sinica. English Series
2 Statistical Science
2 Mathematical and Computer Modelling
2 Science in China. Series A
2 Computational Mathematics and Mathematical Physics
2 SIAM Review
2 Applied Mathematics. Series B (English Edition)
2 Annals of Mathematics and Artificial Intelligence
2 Journal of Combinatorial Optimization
2 Journal of Shanghai University
2 Journal of Applied Statistics
2 RAIRO. Operations Research
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Structural and Multidisciplinary Optimization
2 4OR
2 Naval Research Logistics Quarterly
2 Set-Valued and Variational Analysis
2 Nonlinear Analysis. Theory, Methods & Applications
1 International Journal of Modern Physics B
1 Advances in Applied Probability
1 Biological Cybernetics
1 Bulletin of the Australian Mathematical Society
...and 80 more Serials
all top 5

Cited in 39 Fields

1,079 Operations research, mathematical programming (90-XX)
367 Numerical analysis (65-XX)
234 Calculus of variations and optimal control; optimization (49-XX)
51 Systems theory; control (93-XX)
49 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
47 Computer science (68-XX)
43 Statistics (62-XX)
38 Mechanics of deformable solids (74-XX)
22 Ordinary differential equations (34-XX)
22 Approximations and expansions (41-XX)
18 Biology and other natural sciences (92-XX)
14 Real functions (26-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Convex and discrete geometry (52-XX)
9 Partial differential equations (35-XX)
9 Operator theory (47-XX)
8 Functional analysis (46-XX)
7 Mechanics of particles and systems (70-XX)
6 Information and communication theory, circuits (94-XX)
5 Combinatorics (05-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Probability theory and stochastic processes (60-XX)
4 Fluid mechanics (76-XX)
4 Optics, electromagnetic theory (78-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Differential geometry (53-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

Citations by Year