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## Peterson, Elmor L.

Compute Distance To:
 Author ID: peterson.elmor-l Published as: Peterson, E. L.; Peterson, Elmor L.
 Documents Indexed: 44 Publications since 1937, including 4 Books

#### Co-Authors

 7 single-authored 9 Duffin, Richard James 2 Zener, Clarence 1 Asmuth, Richard 1 Eaves, B. Curtis 1 Hall, Michael A.
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#### Serials

 2 Mathematics of Operations Research 2 Mathematical Programming 2 Annals of Operations Research 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Indiana University Mathematics Journal 1 Journal of Optimization Theory and Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review

#### Fields

 16 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 603 times in 446 Documents Cited by Year
Geometric programming. Theory and application. Zbl 0171.17601
Duffin, Richard J.; Peterson, Elmor L.; Zener, Clarence
1967
Generalized variational inequalities. Zbl 0471.49007
Fang, S. C.; Peterson, E. L.
1982
Geometric programming. Zbl 0331.90057
Peterson, Elmor L.
1976
Geometric programming with signomials. Zbl 0238.90069
Duffin, R. J.; Peterson, E. L.
1973
Computing economic equilibria on affine networks with Lemke’s algorithm. Zbl 0443.90027
Asmuth, Richard; Eaves, B. Curtis; Peterson, Elmor L.
1979
Duality theory for geometric programming. Zbl 0203.21902
Duffin, R. J.; Peterson, E. L.
1966
The fundamental relations between geometric programming duality, parametric programming duality, and ordinary Lagrangian duality. Zbl 0996.90060
Peterson, Elmor L.
2001
Symmetric duality for generalized unconstrained geometric programming. Zbl 0205.48001
Peterson, E. L.
1970
Geometric programming: Duality in quadratic programming and $$l_ p$$- approximation. II. (Canonical programs). Zbl 0172.43704
Peterson, E. L.; Ecker, J. G.
1969
Controlled dual perturbations for posynomial programs. Zbl 0659.90071
Fang, S. C.; Peterson, E. L.; Rajasekera, J. R.
1988
Geometric programming: duality in quadratic programming and $$l_ p$$- approximation. I. Zbl 0228.90039
Peterson, E. L.; Ecker, J. G.
1970
Reversed geometric programs treated by harmonic means. Zbl 0246.90044
Duffin, R. J.; Peterson, Elmor L.
1972
Geometric programming: Duality in quadratic programming an $$l_{p}$$- approximation III (Degenerate programs). Zbl 0169.22102
Peterson, E. L.; Ecker, J. G.
1970
Optimality conditions in generalized geometric programming. Zbl 0369.90109
Peterson, E. L.
1978
Geometric programs treated with slack variables. Zbl 0266.90055
Duffin, R. J.; Peterson, Elmor L.
1972
Saddle points and duality in generalized geometric programming. Zbl 0369.90110
Peterson, E. L.
1978
Constrained duality via unconstrained duality in generalized geometric programming. Zbl 0369.90108
Peterson, E. L.
1978
The discrete analogue of a class of entire functions. Zbl 0159.37302
Duffin, R. J.; Peterson, E. L.
1968
The origins of geometric programming. Zbl 1024.90002
Peterson, Elmor L.
2001
Minimum cross-entropy analysis with entropy-type constraints. Zbl 0764.90072
Fang, S. C.; Peterson, E. L.; Rajasekera, J. R.
1992
General network equilibrium analysis. Zbl 0523.90040
Fang, S. C.; Peterson, E. L.
1983
Geometric programming. Zbl 0445.90075
Peterson, E. L.
1980
Fenchel’s duality theorem in generalized geometric programming. Zbl 0369.90107
Peterson, E. L.
1978
The duality between suboptimization and parameter deletion. Zbl 0394.90084
Peterson, Elmor L.
1977
The proximity of (algebraic) geometric programming to linear programming. Zbl 0245.90016
Duffin, R. J.; Peterson, Elmor L.
1972
Reversed geometric programs treated by harmonic means. Zbl 0234.90062
Duffin, R. J.; Peterson, Elmor L.
1972
Geometric programming: a unified duality theory for quadratically constrained quadratic programs and $$l_ p$$-constrained $$l_ p$$- approximation problems. Zbl 0155.28502
Peterson, E. L.; Ecker, J. G.
1968
Statistical analysis and optimization of systems. Zbl 0105.33001
Peterson, E. L.
1961
Resistance of monovalent metals. Zbl 0016.09604
Peterson, E. L.; Nordheim, L. W.
1937
Geometric programming – theory and application. Übersetzung aus dem Englischen von D. A. Babaev. Zbl 0236.90062
Duffin, Richard J.; Peterson, Elmor L.; Zener, Clarence
1972
Discrete complex functions with prescribed boundary values and residues. Zbl 0159.37301
Peterson, E. L.
1967
An economic equilibrium model on a multicommodity network. Zbl 0573.90012
Fang, S. C.; Peterson, E. L.
1985
Traffic equilibria on a roadway network. Zbl 0511.90063
Peterson, Elmor L.
1983
The complementary unboundedness of dual feasible solution sets in convex programming. Zbl 0363.90090
Peterson, Elmor L.
1977
Traffic equilibria analysed via geometric programming. Zbl 0348.90067
Hall, Michael A.; Peterson, Elmor L.
1976
The analysis of urban and regional transportation networks by geometric programming. Zbl 0347.90027
Peterson, Elmor L.
1973
Optimum multivariable control. Zbl 0201.47901
Peterson, E. L.
1964
The fundamental relations between geometric programming duality, parametric programming duality, and ordinary Lagrangian duality. Zbl 0996.90060
Peterson, Elmor L.
2001
The origins of geometric programming. Zbl 1024.90002
Peterson, Elmor L.
2001
Minimum cross-entropy analysis with entropy-type constraints. Zbl 0764.90072
Fang, S. C.; Peterson, E. L.; Rajasekera, J. R.
1992
Controlled dual perturbations for posynomial programs. Zbl 0659.90071
Fang, S. C.; Peterson, E. L.; Rajasekera, J. R.
1988
An economic equilibrium model on a multicommodity network. Zbl 0573.90012
Fang, S. C.; Peterson, E. L.
1985
General network equilibrium analysis. Zbl 0523.90040
Fang, S. C.; Peterson, E. L.
1983
Traffic equilibria on a roadway network. Zbl 0511.90063
Peterson, Elmor L.
1983
Generalized variational inequalities. Zbl 0471.49007
Fang, S. C.; Peterson, E. L.
1982
Geometric programming. Zbl 0445.90075
Peterson, E. L.
1980
Computing economic equilibria on affine networks with Lemke’s algorithm. Zbl 0443.90027
Asmuth, Richard; Eaves, B. Curtis; Peterson, Elmor L.
1979
Optimality conditions in generalized geometric programming. Zbl 0369.90109
Peterson, E. L.
1978
Saddle points and duality in generalized geometric programming. Zbl 0369.90110
Peterson, E. L.
1978
Constrained duality via unconstrained duality in generalized geometric programming. Zbl 0369.90108
Peterson, E. L.
1978
Fenchel’s duality theorem in generalized geometric programming. Zbl 0369.90107
Peterson, E. L.
1978
The duality between suboptimization and parameter deletion. Zbl 0394.90084
Peterson, Elmor L.
1977
The complementary unboundedness of dual feasible solution sets in convex programming. Zbl 0363.90090
Peterson, Elmor L.
1977
Geometric programming. Zbl 0331.90057
Peterson, Elmor L.
1976
Traffic equilibria analysed via geometric programming. Zbl 0348.90067
Hall, Michael A.; Peterson, Elmor L.
1976
Geometric programming with signomials. Zbl 0238.90069
Duffin, R. J.; Peterson, E. L.
1973
The analysis of urban and regional transportation networks by geometric programming. Zbl 0347.90027
Peterson, Elmor L.
1973
Reversed geometric programs treated by harmonic means. Zbl 0246.90044
Duffin, R. J.; Peterson, Elmor L.
1972
Geometric programs treated with slack variables. Zbl 0266.90055
Duffin, R. J.; Peterson, Elmor L.
1972
The proximity of (algebraic) geometric programming to linear programming. Zbl 0245.90016
Duffin, R. J.; Peterson, Elmor L.
1972
Reversed geometric programs treated by harmonic means. Zbl 0234.90062
Duffin, R. J.; Peterson, Elmor L.
1972
Geometric programming – theory and application. Übersetzung aus dem Englischen von D. A. Babaev. Zbl 0236.90062
Duffin, Richard J.; Peterson, Elmor L.; Zener, Clarence
1972
Symmetric duality for generalized unconstrained geometric programming. Zbl 0205.48001
Peterson, E. L.
1970
Geometric programming: duality in quadratic programming and $$l_ p$$- approximation. I. Zbl 0228.90039
Peterson, E. L.; Ecker, J. G.
1970
Geometric programming: Duality in quadratic programming an $$l_{p}$$- approximation III (Degenerate programs). Zbl 0169.22102
Peterson, E. L.; Ecker, J. G.
1970
Geometric programming: Duality in quadratic programming and $$l_ p$$- approximation. II. (Canonical programs). Zbl 0172.43704
Peterson, E. L.; Ecker, J. G.
1969
The discrete analogue of a class of entire functions. Zbl 0159.37302
Duffin, R. J.; Peterson, E. L.
1968
Geometric programming: a unified duality theory for quadratically constrained quadratic programs and $$l_ p$$-constrained $$l_ p$$- approximation problems. Zbl 0155.28502
Peterson, E. L.; Ecker, J. G.
1968
Geometric programming. Theory and application. Zbl 0171.17601
Duffin, Richard J.; Peterson, Elmor L.; Zener, Clarence
1967
Discrete complex functions with prescribed boundary values and residues. Zbl 0159.37301
Peterson, E. L.
1967
Duality theory for geometric programming. Zbl 0203.21902
Duffin, R. J.; Peterson, E. L.
1966
Optimum multivariable control. Zbl 0201.47901
Peterson, E. L.
1964
Statistical analysis and optimization of systems. Zbl 0105.33001
Peterson, E. L.
1961
Resistance of monovalent metals. Zbl 0016.09604
Peterson, E. L.; Nordheim, L. W.
1937
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#### Cited by 493 Authors

 33 Jefferson, Thomas R. 33 Scott, Carlton H. 27 Fang, Shu-Cherng 16 Peterson, Elmor L. 11 Dinkel, John J. 11 Noor, Muhammad Aslam 11 Yao, Jen-Chih 10 Ecker, Joseph G. 8 Kochenberger, Gary A. 8 Kortanek, Kenneth O. 8 Rajasekera, J. R. 7 Bricker, Dennis L. 6 Ding, Xie Ping 6 Fang, Changjie 6 Gochet, Willy F. 6 Kumar Roy, Tapan 6 Liu, Shiang-Tai 5 He, Yiran 5 Lavery, John E. 5 Pang, Jong-Shi 5 Passy, Ury 5 Shen, Peiping 5 Smeers, Yves 5 Tsao, H.-S. Jacob 4 Cao, Bingyuan 4 Chen, Shenglan 4 Dembo, Ron S. 4 Duffin, Richard James 4 Hu, Cheng-Feng 4 Islam, Sahidul 4 Klein, Cerry M. 4 Konnov, Igor V. 4 Liu, Shiangtai 4 Maiti, Manoranjan 4 Mandal, Nirmal Kumar 4 Rajgopal, Jayant 4 Terlaky, Tamás 4 Wang, Yanjun 4 Wilde, Douglass J. 4 Zhang, Kecun 3 Allueva, Ana Isabel 3 Ansari, Qamrul Hasan 3 Avriel, Mordecai 3 Ben-Israel, Adi 3 Boyd, Stephen Poythress 3 Burns, Scott A. 3 Cheng, Hao 3 Cole, Forrester 3 Do Nascimento, Roberto Quirino 3 Elster, Karl-Heinz 3 Elster, Rosalind 3 Jeong, Jae Ug 3 Jorjani, Soheila 3 Jung, Hoon 3 Martens, X. M. 3 Mueller, Keith M. 3 Nagurney, Anna 3 Park, Jong Yeoul 3 Rijckaert, Marcel J. 3 Verma, Rakesh Kumar 3 Wiebking, Rolf D. 2 Abrams, Robert A. 2 Aryanezhad, Mir-Bahador-Qoli 2 Bello Cruz, Jose Yunier 2 Biswal, Mahendra Prasad 2 Castro, Pedro M. 2 Ceng, Lu-Chuan 2 Chandrasekaran, Venkat 2 Chen, Haibin 2 Chen, Yongqiang 2 Chen, Zhiping 2 Cheng, Tai-Chiu Edwin 2 Choi, Jae Chul 2 Chowdhury, Mohammad S. R. 2 Cubiotti, Paolo 2 De Oliveira Santos, Rubia Mara 2 de Wolff, Timo 2 Díaz Millán, R. 2 Dressler, Mareike 2 Figueiredo Lima, Edson jun. 2 Floudas, Christodoulos Achilleus 2 Glineur, François 2 Güder, Faruk 2 Huang, Nan-Jing 2 Iliman, Sadik 2 Jones, Philip C. 2 Kelly, Donald W. 2 Kim, Seung-Jean 2 Kupferschmid, Michael 2 Lai, Tsung-Chyan 2 Lan, Hengyou 2 Lange, Kenneth L. 2 Lin, Ming-Hua 2 Lisser, Abdel 2 Liu, Jia 2 Luptacik, Mikulas 2 Mahapatra, Ghanshaym Singha 2 Mancini, Louis J. 2 Matos, Henrique A. 2 McCarl, Bruce A. ...and 393 more Authors
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#### Cited in 99 Serials

 57 Journal of Optimization Theory and Applications 43 European Journal of Operational Research 30 Journal of Mathematical Analysis and Applications 27 Mathematical Programming 22 Applied Mathematics and Computation 18 Computers & Mathematics with Applications 17 International Journal of Systems Science 16 Optimization 10 Journal of Computational and Applied Mathematics 10 Mathematical Programming. Series A. Series B 9 Fuzzy Sets and Systems 9 Journal of Global Optimization 9 Applied Mathematical Modelling 7 Annals of Operations Research 6 Mathematical and Computer Modelling 5 Operations Research Letters 5 Zeitschrift für Operations Research. Serie A: Theorie 5 Journal of Inequalities and Applications 5 Optimization and Engineering 4 Applicable Analysis 4 Discrete Applied Mathematics 4 Journal of Engineering Mathematics 4 Computers & Operations Research 4 Computational Optimization and Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Automatica 3 Information Sciences 3 Applied Mathematics and Mechanics. (English Edition) 3 International Journal of Production Research 3 Applied Mathematics Letters 3 ZOR. Zeitschrift für Operations Research 3 Abstract and Applied Analysis 3 Fuzzy Information and Engineering 2 Bulletin of the Australian Mathematical Society 2 Journal of Soviet Mathematics 2 Kybernetika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Opsearch 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 OR Spektrum 2 International Journal of Approximate Reasoning 2 Trabajos de Investigacion Operativa 2 Mathematical Methods of Operations Research 2 Engineering Computations 2 Journal of Applied Mathematics and Computing 2 Fuzzy Optimization and Decision Making 2 Physical Review, II. Series 2 Unternehmensforschung 2 Optimization Letters 2 Journal of the Operations Research Society of China 2 Nonlinear Analysis. Theory, Methods & Applications 2 SIAM Journal on Applied Algebra and Geometry 1 Artificial Intelligence 1 International Journal of Heat and Mass Transfer 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 Reviews of Modern Physics 1 The Annals of Statistics 1 Computing 1 International Journal for Numerical Methods in Engineering 1 Journal of Pure and Applied Algebra 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 SIAM Journal on Computing 1 Insurance Mathematics & Economics 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 1 Asia-Pacific Journal of Operational Research 1 Computational Mathematics and Modeling 1 YUJOR. Yugoslav Journal of Operations Research 1 Journal of Statistical Computation and Simulation 1 Linear Algebra and its Applications 1 SIAM Journal on Optimization 1 Cybernetics and Systems Analysis 1 Applied Mathematics. Series B (English Edition) 1 Top 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Positivity 1 Taiwanese Journal of Mathematics 1 Differential Equations 1 Central European Journal of Mathematics 1 Journal of Intelligent and Fuzzy Systems 1 Fixed Point Theory and Applications 1 The Australian Journal of Mathematical Analysis and Applications 1 Discrete Optimization 1 Journal of Industrial and Management Optimization 1 Bulletin of the American Mathematical Society 1 Naval Research Logistics Quarterly 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Operations Research 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Analysis and Mathematical Physics 1 Axioms 1 Journal of Mathematical Modelling and Algorithms in Operations Research 1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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#### Cited in 37 Fields

 352 Operations research, mathematical programming (90-XX) 114 Calculus of variations and optimal control; optimization (49-XX) 86 Numerical analysis (65-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 36 Operator theory (47-XX) 9 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 7 Approximations and expansions (41-XX) 7 Computer science (68-XX) 7 Systems theory; control (93-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 5 Convex and discrete geometry (52-XX) 5 General topology (54-XX) 4 Algebraic geometry (14-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Field theory and polynomials (12-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)