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## Luenberger, David G.

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 Author ID: luenberger.david-g Published as: Luenberger, David G.; Luenberger, D. G.
 Documents Indexed: 58 Publications since 1965, including 7 Books Biographic References: 2 Publications
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#### Co-Authors

 41 single-authored 3 Yamada, Takeo 2 Wong, Peter J. 2 Ye, Yinyu 1 Arbel, Ami 1 Chant, Verne G. 1 Cronshaw, Mark B. 1 Dressler, Robert M. 1 Feinstein, Charles D. 1 Gabay, Daniel 1 Ghanem, M. Z. 1 Kuhn, Daniel 1 Maxfield, Robert R. 1 Oren, Shmuel S. 1 Philippi, Bruno
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#### Serials

 7 Journal of Optimization Theory and Applications 6 IEEE Transactions on Automatic Control 5 Journal of Economic Dynamics & Control 2 Automatica 2 Journal of Economic Theory 2 Journal of Mathematical Economics 2 Operations Research 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Applied Mathematics 2 Quantitative Finance 2 Management Science. Ser. A, Theory Series 2 International Series in Operations Research & Management Science 1 AIAA Journal 1 Econometrica 1 Journal of Mathematical Psychology 1 The Journal of Mathematical Sociology 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Ergodic Theory and Dynamical Systems 1 Games and Economic Behavior 1 Linear Algebra and its Applications 1 Computational Economics 1 Economic Theory 1 International Journal of Control, I. Series 1 IEEE Transactions on Systems Science and Cybernetics
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#### Fields

 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Operations research, mathematical programming (90-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Systems theory; control (93-XX) 8 Numerical analysis (65-XX) 3 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

54 Publications have been cited 3,227 times in 2,995 Documents Cited by Year
Optimization by vector space methods (Series in Decision and Control). Zbl 0176.12701
Luenberger, D. G.
1969
An approach to nonlinear programming. Zbl 0241.90052
Luenberger, D. G.
1973
Introduction to linear and nonlinear programming. Zbl 0297.90044
Luenberger, David G.
1973
Linear and nonlinear programming. 2nd ed. Zbl 0571.90051
Luenberger, David G.
1984
Introduction to dynamic systems. Theory, models, and applications. Zbl 0458.93001
Luenberger, David G.
1979
Dynamic equations in descriptor form. Zbl 0354.93007
Luenberger, David G.
1977
Linear and nonlinear programming. 3rd ed. Zbl 1207.90003
Luenberger, David G.; Ye, Yinyu
2008
Convex programming and duality in normed space. Zbl 0184.44502
Luenberger, D. G.
1968
Linear and nonlinear programming. 2nd ed. Zbl 1134.90040
Luenberger, David G.
2003
Self-scaling variable metric (SSVM) algorithms. I: Criteria and sufficient conditions for scaling a class of algorithms. Zbl 0316.90064
Oren, Shmuel S.; Luenberger, David G.
1974
Benefit functions and duality. Zbl 0766.90011
Luenberger, David G.
1992
Singular dynamic Leontief systems. Zbl 0368.90029
Luenberger, David G.; Arbel, Ami
1977
Products of trees for investment analysis. Zbl 0912.90027
Luenberger, David G.
1998
Time-invariant descriptor systems. Zbl 0398.93040
Luenberger, David G.
1978
New optimality principles for economic efficiency and equilibrium. Zbl 0796.90015
Luenberger, D. G.
1992
The gradient projection method along geodesics. Zbl 0253.90050
Luenberger, David G.
1972
Quasi-convex programming. Zbl 0212.23905
Luenberger, D. G.
1968
Hyperbolic pairs in the method of conjugate gradients. Zbl 0187.09704
Luenberger, D. G.
1969
Linear and nonlinear programming. 4th ed. Zbl 1319.90001
Luenberger, David G.; Ye, Yinyu
2016
Invertible solutions to the operator equation $$TA-BT = C$$. Zbl 0138.07802
Luenberger, D. G.
1965
Analysis of the asymptotic behavior of optimal control trajectories: The implicit programming problem. Zbl 0472.49008
Feinstein, C. D.; Luenberger, D. G.
1981
The conjugate residual method for constrained minimization problems. Zbl 0209.17601
Luenberger, D. G.
1970
Generic controllability theorems for descriptor systems. Zbl 0561.93014
1985
Strongly symmetric subgame perfect equilibria in infinitely repeated games with perfect monitoring and discounting. Zbl 0805.90129
Cronshaw, Mark B.; Luenberger, David G.
1994
Pricing a nontradeable asset and its derivatives. Zbl 1090.91044
Luenberger, D. G.
2004
Efficiently converging minimization methods based on the reduced gradient. Zbl 0342.90043
Gabay, Daniel; Luenberger, David G.
1976
A preference foundation for log mean-variance criteria in portfolio choice problems. Zbl 0784.90011
Luenberger, David G.
1993
A combined penalty function and gradient projection method for nonlinear programming. Zbl 0272.90070
Luenberger, D. G.
1974
Welfare from a benefit viewpoint. Zbl 0858.90006
Luenberger, David G.
1996
Optimality and the theory of value. Zbl 0832.90013
Luenberger, David G.
1994
Boundary recursion for descriptor variable systems. Zbl 0674.93043
Luenberger, David G.
1989
Projection pricing. Zbl 0972.91058
Luenberger, D. G.
2001
Dual Pareto efficiency. Zbl 0801.90018
Luenberger, David G.
1994
Control of linear dynamic market systems. Zbl 0649.90029
Luenberger, David G.
1986
Analysis of the rebalancing frequency in log-optimal portfolio selection. Zbl 1202.91300
Kuhn, Daniel; Luenberger, David G.
2010
Complete stability of noncooperative games. Zbl 0369.90131
Luenberger, D. G.
1978
A double look at duality. Zbl 0785.93007
Luenberger, David G.
1992
Arbitrage and universal pricing. Zbl 1100.91523
Luenberger, David G.
2002
Externalities and benefits. Zbl 0827.90043
Luenberger, David G.
1995
Algorithms to verify generic causality and controllability of descriptor systems. Zbl 0572.93019
1985
Reducing the memory requirements of dynamic programming. Zbl 0165.54201
Wong, P. J.; Luenberger, D. G.
1968
Linear descriptor variable systems. Zbl 0401.93002
Luenberger, David G.
1978
A correlation pricing formula. Zbl 1033.91007
Luenberger, David G.
2002
Convergente rate of a penalty-function scheme. Zbl 0194.20405
Luenberger, D. G.
1971
Neighborhood effects and maintenance of the urban housing stock. Zbl 0373.92033
Philippi, Bruno; Luenberger, David G.
1977
A combined parallel-tangents/penalty-function approach to solving trajectory-optimization problems. Zbl 0235.90049
Wong, Peter J.; Dressler, Robert M.; Luenberger, David G.
1971
A nonlinear economic control problem with a linear feedback solution. Zbl 0303.49023
Luenberger, David G.
1975
A generalized maximum principle. Zbl 0161.09601
Luenberger, D. G.
1966
Dynamic equilibria for linear systems and quadratic costs. Zbl 0608.90010
Luenberger, David G.
1987
Computing economic equilibria using benefit and surplus functions. Zbl 0827.90014
Luenberger, David G.; Maxfield, Robert R.
1995
Algorithmic analysis in constrained optimization. Zbl 0337.65036
Luenberger, David G.
1976
Products of random mappings. Zbl 0961.60033
Luenberger, David G.
2000
Cyclic dynamc programming: A procedure for problems with fixed delay. Zbl 0224.90075
Luenberger, David G.
1971
Generic properties of column-structured matrices. Zbl 0563.15015
1985
Linear and nonlinear programming. 4th ed. Zbl 1319.90001
Luenberger, David G.; Ye, Yinyu
2016
Analysis of the rebalancing frequency in log-optimal portfolio selection. Zbl 1202.91300
Kuhn, Daniel; Luenberger, David G.
2010
Linear and nonlinear programming. 3rd ed. Zbl 1207.90003
Luenberger, David G.; Ye, Yinyu
2008
Pricing a nontradeable asset and its derivatives. Zbl 1090.91044
Luenberger, D. G.
2004
Linear and nonlinear programming. 2nd ed. Zbl 1134.90040
Luenberger, David G.
2003
Arbitrage and universal pricing. Zbl 1100.91523
Luenberger, David G.
2002
A correlation pricing formula. Zbl 1033.91007
Luenberger, David G.
2002
Projection pricing. Zbl 0972.91058
Luenberger, D. G.
2001
Products of random mappings. Zbl 0961.60033
Luenberger, David G.
2000
Products of trees for investment analysis. Zbl 0912.90027
Luenberger, David G.
1998
Welfare from a benefit viewpoint. Zbl 0858.90006
Luenberger, David G.
1996
Externalities and benefits. Zbl 0827.90043
Luenberger, David G.
1995
Computing economic equilibria using benefit and surplus functions. Zbl 0827.90014
Luenberger, David G.; Maxfield, Robert R.
1995
Strongly symmetric subgame perfect equilibria in infinitely repeated games with perfect monitoring and discounting. Zbl 0805.90129
Cronshaw, Mark B.; Luenberger, David G.
1994
Optimality and the theory of value. Zbl 0832.90013
Luenberger, David G.
1994
Dual Pareto efficiency. Zbl 0801.90018
Luenberger, David G.
1994
A preference foundation for log mean-variance criteria in portfolio choice problems. Zbl 0784.90011
Luenberger, David G.
1993
Benefit functions and duality. Zbl 0766.90011
Luenberger, David G.
1992
New optimality principles for economic efficiency and equilibrium. Zbl 0796.90015
Luenberger, D. G.
1992
A double look at duality. Zbl 0785.93007
Luenberger, David G.
1992
Boundary recursion for descriptor variable systems. Zbl 0674.93043
Luenberger, David G.
1989
Dynamic equilibria for linear systems and quadratic costs. Zbl 0608.90010
Luenberger, David G.
1987
Control of linear dynamic market systems. Zbl 0649.90029
Luenberger, David G.
1986
Generic controllability theorems for descriptor systems. Zbl 0561.93014
1985
Algorithms to verify generic causality and controllability of descriptor systems. Zbl 0572.93019
1985
Generic properties of column-structured matrices. Zbl 0563.15015
1985
Linear and nonlinear programming. 2nd ed. Zbl 0571.90051
Luenberger, David G.
1984
Analysis of the asymptotic behavior of optimal control trajectories: The implicit programming problem. Zbl 0472.49008
Feinstein, C. D.; Luenberger, D. G.
1981
Introduction to dynamic systems. Theory, models, and applications. Zbl 0458.93001
Luenberger, David G.
1979
Time-invariant descriptor systems. Zbl 0398.93040
Luenberger, David G.
1978
Complete stability of noncooperative games. Zbl 0369.90131
Luenberger, D. G.
1978
Linear descriptor variable systems. Zbl 0401.93002
Luenberger, David G.
1978
Dynamic equations in descriptor form. Zbl 0354.93007
Luenberger, David G.
1977
Singular dynamic Leontief systems. Zbl 0368.90029
Luenberger, David G.; Arbel, Ami
1977
Neighborhood effects and maintenance of the urban housing stock. Zbl 0373.92033
Philippi, Bruno; Luenberger, David G.
1977
Efficiently converging minimization methods based on the reduced gradient. Zbl 0342.90043
Gabay, Daniel; Luenberger, David G.
1976
Algorithmic analysis in constrained optimization. Zbl 0337.65036
Luenberger, David G.
1976
A nonlinear economic control problem with a linear feedback solution. Zbl 0303.49023
Luenberger, David G.
1975
Self-scaling variable metric (SSVM) algorithms. I: Criteria and sufficient conditions for scaling a class of algorithms. Zbl 0316.90064
Oren, Shmuel S.; Luenberger, David G.
1974
A combined penalty function and gradient projection method for nonlinear programming. Zbl 0272.90070
Luenberger, D. G.
1974
An approach to nonlinear programming. Zbl 0241.90052
Luenberger, D. G.
1973
Introduction to linear and nonlinear programming. Zbl 0297.90044
Luenberger, David G.
1973
The gradient projection method along geodesics. Zbl 0253.90050
Luenberger, David G.
1972
Convergente rate of a penalty-function scheme. Zbl 0194.20405
Luenberger, D. G.
1971
A combined parallel-tangents/penalty-function approach to solving trajectory-optimization problems. Zbl 0235.90049
Wong, Peter J.; Dressler, Robert M.; Luenberger, David G.
1971
Cyclic dynamc programming: A procedure for problems with fixed delay. Zbl 0224.90075
Luenberger, David G.
1971
The conjugate residual method for constrained minimization problems. Zbl 0209.17601
Luenberger, D. G.
1970
Optimization by vector space methods (Series in Decision and Control). Zbl 0176.12701
Luenberger, D. G.
1969
Hyperbolic pairs in the method of conjugate gradients. Zbl 0187.09704
Luenberger, D. G.
1969
Convex programming and duality in normed space. Zbl 0184.44502
Luenberger, D. G.
1968
Quasi-convex programming. Zbl 0212.23905
Luenberger, D. G.
1968
Reducing the memory requirements of dynamic programming. Zbl 0165.54201
Wong, P. J.; Luenberger, D. G.
1968
A generalized maximum principle. Zbl 0161.09601
Luenberger, D. G.
1966
Invertible solutions to the operator equation $$TA-BT = C$$. Zbl 0138.07802
Luenberger, D. G.
1965
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#### Cited by 4,209 Authors

 23 White, Luther W. 21 Luenberger, David G. 17 Balbás, Alejandro 17 Färe, Rolf 16 Briec, Walter 16 Teo, Kok Lay 14 Andrei, Neculai 14 Pham Huu Anh Ngoc 13 Fang, Shu-Cherng 13 Hager, William W. 12 Borwein, Jonathan Michael 12 Simo, Juan Carlos 11 Bertsekas, Dimitri Panteli 11 Loxton, Ryan Christopher 11 Protas, Bartosz 10 Aparicio, Juan Pablo 10 Lewis, Frank Leroy 9 Balbás, Raquel 9 Miehe, Christian 9 Wriggers, Peter 9 Zeidan, Vera Michel 8 Babaie-Kafaki, Saman 8 Balbás, Beatriz 8 Chambers, Robert G. 8 Christodoulou, Manolis A. 8 Dauer, Jerald P. 8 Huang, Chih-Peng 8 Kanamori, Takafumi 8 Lin, Qun 8 Martínez, José Mario 8 Pastor, Jesús T. 7 Boyd, Stephen Poythress 7 Evstigneev, Igor V. 7 Farina, Lorenzo 7 Geromel, Jose Claudio 7 Grosskopf, Shawna 7 Konno, Hiroshi 7 Li, Duan 7 Lovass-Nagy, Victor 7 Rapcsák, Tamás 7 Rustem, Berc 7 Šimon Hilscher, Roman 7 Tseng, Paul 7 Yao, Haixiang 7 Zohdi, Tarek I. 6 Banaszuk, Andrzej 6 Bazaraa, Mokhtar S. 6 Chen, Ping 6 Effati, Sohrab 6 Ferreira, Orizon Pereira 6 Flåm, Sjur Didrik 6 Hens, Thorsten 6 Howlett, Phil G. 6 Kaczorek, Tadeusz 6 Kerstens, Kristiaan 6 Lam, James 6 Lukšan, Ladislav 6 Martin, Clyde Franklin 6 Steinmann, Paul 6 Terra, Marco Henrique 6 Wolkowicz, Henry 6 Zhang, Junfeng 5 Al-Baali, Mehiddin 5 Anderson, Brian David Outram 5 Banks, Harvey Thomas 5 Benvenuti, Luca 5 Berg, Kimmo 5 Campbell, Stephen LaVern 5 Dax, Achiya 5 Fukuyama, Hirofumi 5 Galligani, Emanuele 5 Getz, Wayne M. 5 Goode, Jamie J. 5 Hammer, Jacob 5 Haurie, Alain B. 5 Heras, Antonio 5 Jamshidian, Mortaza 5 Krijnen, Wim P. 5 Lai, Hang-Chin 5 Landsman, Zinoviy M. 5 Mertzios, Basil G. 5 Misra, Pradeep 5 Pardalos, Panos M. 5 Patriksson, Michael 5 Ruggiero, Valeria 5 Shorten, Robert N. 5 Smith, Robert Longworth 5 Nguyen Khoa Son 5 Tanaka, Kensuke 5 Tröltzsch, Fredi 5 Volkwein, Stefan 5 Willsky, Alan Steven 5 Wu, Yonghong 5 Yao, Jen-Chih 5 Yavin, Yaakov 5 Zabaras, Nicholas J. 5 Zelenyuk, Valentin 5 Zhang, Weihai 4 Ait Rami, Mustapha 4 Barmish, B. Ross ...and 4,109 more Authors
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#### Cited in 424 Serials

 264 Journal of Optimization Theory and Applications 117 Automatica 116 European Journal of Operational Research 111 International Journal of Control 92 Journal of Mathematical Analysis and Applications 91 Computer Methods in Applied Mechanics and Engineering 80 Applied Mathematics and Computation 68 International Journal of Systems Science 60 Systems & Control Letters 60 Linear Algebra and its Applications 44 Mathematical Programming. Series A. Series B 42 Computers & Mathematics with Applications 42 Journal of Computational and Applied Mathematics 40 Optimization 39 Mathematical Programming 38 Annals of Operations Research 36 Circuits, Systems, and Signal Processing 35 Journal of Global Optimization 34 Computational Optimization and Applications 31 Optimization Methods & Software 25 Journal of the Franklin Institute 25 Journal of Economic Theory 25 Journal of Economic Dynamics & Control 23 Numerische Mathematik 22 Mathematical Biosciences 22 Computers & Operations Research 21 Journal of Econometrics 20 Applied Mathematics and Optimization 20 Journal of Mathematical Economics 20 Mathematical Problems in Engineering 19 Numerical Functional Analysis and Optimization 18 Economic Theory 18 Optimization Letters 17 Fuzzy Sets and Systems 17 Mathematical and Computer Modelling 16 Insurance Mathematics & Economics 16 Operations Research Letters 16 Numerical Algorithms 16 International Journal of Systems Science. Principles and Applications of Systems and Integration 14 SIAM Journal on Control and Optimization 14 Computational Mechanics 14 International Journal of Theoretical and Applied Finance 13 Journal of Computational Physics 13 Mathematics and Computers in Simulation 13 Applied Mathematical Modelling 13 Computational Statistics and Data Analysis 13 European Journal of Control 12 Discrete Applied Mathematics 12 Psychometrika 12 Journal of Statistical Planning and Inference 12 MCSS. Mathematics of Control, Signals, and Systems 12 Economics Letters 12 Pattern Recognition 12 SIAM Journal on Optimization 11 Kybernetika 11 Journal of Information & Optimization Sciences 11 International Journal of Robust and Nonlinear Control 11 SIAM Journal on Scientific Computing 10 Journal of Approximation Theory 10 Communications in Statistics. Theory and Methods 10 International Journal of Computer Mathematics 9 Computing 9 Neural Networks 9 Games and Economic Behavior 9 Computational and Applied Mathematics 9 Mathematical Finance 9 International Journal of Applied Mathematics and Computer Science 8 The Annals of Statistics 8 Information Sciences 8 Journal of Differential Equations 8 Applied Mathematics Letters 8 Journal of Difference Equations and Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Quantitative Finance 8 Structural and Multidisciplinary Optimization 8 International Journal of Control, I. Series 8 Mathematics and Financial Economics 7 Journal of Fluid Mechanics 7 Mathematical Social Sciences 7 Journal of Economics 7 Journal of Statistical Computation and Simulation 7 Abstract and Applied Analysis 7 Mathematical Geology 6 Journal of Mathematical Biology 6 Journal of Multivariate Analysis 6 Computer Aided Geometric Design 6 Physica D 6 Applied Numerical Mathematics 6 Neural Computation 6 Automation and Remote Control 6 Zeitschrift für Operations Research. Serie A: Theorie 6 Archive of Applied Mechanics 6 Journal of Mathematical Imaging and Vision 6 International Transactions in Operational Research 6 Mathematical Methods of Operations Research 6 Computational Geosciences 5 Journal of the Mechanics and Physics of Solids 5 Physics Letters. A 5 Calcolo 5 Theoretical Computer Science ...and 324 more Serials
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#### Cited in 57 Fields

 1,196 Operations research, mathematical programming (90-XX) 766 Systems theory; control (93-XX) 598 Numerical analysis (65-XX) 506 Calculus of variations and optimal control; optimization (49-XX) 479 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 251 Statistics (62-XX) 172 Mechanics of deformable solids (74-XX) 143 Ordinary differential equations (34-XX) 133 Computer science (68-XX) 120 Biology and other natural sciences (92-XX) 118 Probability theory and stochastic processes (60-XX) 108 Linear and multilinear algebra; matrix theory (15-XX) 73 Partial differential equations (35-XX) 58 Approximations and expansions (41-XX) 54 Information and communication theory, circuits (94-XX) 52 Difference and functional equations (39-XX) 51 Functional analysis (46-XX) 46 Fluid mechanics (76-XX) 40 Operator theory (47-XX) 31 Real functions (26-XX) 29 Dynamical systems and ergodic theory (37-XX) 27 Mechanics of particles and systems (70-XX) 26 Convex and discrete geometry (52-XX) 20 Geophysics (86-XX) 19 Combinatorics (05-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Integral equations (45-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Optics, electromagnetic theory (78-XX) 12 Differential geometry (53-XX) 11 Functions of a complex variable (30-XX) 11 General topology (54-XX) 10 Quantum theory (81-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral transforms, operational calculus (44-XX) 5 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Manifolds and cell complexes (57-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Geometry (51-XX) 3 Field theory and polynomials (12-XX) 3 Potential theory (31-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX)