Edit Profile (opens in new tab) Wolfe, Philip Starr (b. 1927 d. 2016) Co-Author Distance Author ID: wolfe.philip-s Published as: Wolfe, Philip; Wolfe, P.; Anonymous more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND Documents Indexed: 49 Publications since 1955 4 Contributions as Editor Biographic References: 2 Publications Co-Authors: 17 Co-Authors with 21 Joint Publications 318 Co-Co-Authors all top 5 Co-Authors 32 single-authored 7 Dantzig, George Bernard 4 Hoffman, Alan J. 2 Crowder, Harlan P. 2 Held, Michael 2 Orden, Alex 1 Balinski, Michel Louis 1 Baumol, William J. 1 Brent, Richard Peirce 1 Cullum, Jane K. 1 Cutler, Leola 1 Donath, Wilm E. 1 Dresher, Melvin 1 Graves, Robert L. 1 Hofmeister, Michael 1 Sion, Maurice 1 Tucker, Albert William 1 Winograd, Shmuel all top 5 Serials 5 Mathematical Programming 4 Operations Research 3 IBM Journal of Research and Development 3 SIAM Review 3 Annals of Mathematics Studies 2 Econometrica 2 Pacific Journal of Mathematics 2 Journal of the Society for Industrial & Applied Mathematics 1 ACM Transactions on Mathematical Software 1 Kiberneticheskiĭ Sbornik. Novaya Seriya 1 Mathematical Programming Study 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Communications of the ACM 1 Linear Algebra and its Applications 1 A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Advances in Computers 1 Mathematical Programming Study 1 Science all top 5 Fields 23 Operations research, mathematical programming (90-XX) 7 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 2,476 times in 2,162 Documents Cited by ▼ Year ▼ Decomposition principle for linear programs. Zbl 0093.32806 Dantzig, George B.; Wolfe, Philip 443 1960 Validation of subgradient optimization. Zbl 0284.90057 Held, Michael; Wolfe, Philip; Crowder, Harlan P. 372 1974 Convergence conditions for ascent methods. Zbl 0177.20603 Wolfe, Philip 278 1969 A duality theorem for non-linear programming. Zbl 0109.38406 Wolfe, Philip 208 1961 Convergence conditions for ascent methods. II: Some corrections. Zbl 0216.26901 Wolfe, Philip 143 1971 Finding the nearest point in a polytope. Zbl 0352.90046 Wolfe, Philip 131 1976 The decomposition algorithm for linear programs. Zbl 0104.14305 Dantzig, George B.; Wolfe, Philip 118 1961 A method of conjugate subgradients for minimizing nondifferentiable functions. Zbl 0369.90093 Wolfe, Philip 113 1975 The simplex method for quadratic programming. Zbl 0103.37603 Wolfe, Philip 107 1959 The generalized simplex method for minimizing a linear form under linear inequality restraints. Zbl 0064.39402 Dantzig, George B.; Orden, Alex; Wolfe, Philip 70 1955 Convergence theory in nonlinear programming. Zbl 0336.90045 Wolfe, P. 48 1970 Methods of nonlinear programming. Zbl 0178.22802 Wolfe, P. 42 1967 The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices. Zbl 0355.90054 Cullum, Jane; Donath, W. E.; Wolfe, P. 37 1975 A technique for resolving degeneracy in linear programming. Zbl 0127.36903 Wolfe, Philip 37 1963 The secant method for simultaneous nonlinear equations. Zbl 0093.13202 Wolfe, Philip 31 1959 Linear programming in a Markov chain. Zbl 0124.36403 Wolfe, P.; Dantzig, G. B. 25 1962 The composite simplex algorithm. Zbl 0133.42703 Wolfe, Philip 24 1965 Recent advances in mathematical programming. Zbl 0122.00201 21 1963 The strict determinateness of certain infinite games. Zbl 0066.38003 Wolfe, Philip 20 1955 Experiments in linear programming. Zbl 0223.90001 Wolfe, Philip; Cutler, Leola 19 1963 Linear convergence of the conjugate gradient method. Zbl 0263.65068 Crowder, Harlan; Wolfe, Philip 17 1972 On the convergence of gradient methods under constraint. Zbl 0265.90046 Wolfe, Philip 17 1972 On a game without a value. Zbl 0078.33105 Sion, Maurice; Wolfe, Philip 17 1957 A warehouse-location problem. Zbl 1414.90190 Baumol, William J.; Wolfe, Philip 15 1958 Algorithm for a least-distance programming problem. Zbl 0359.90062 Wolfe, Philip 14 1974 A new algorithm for optimization. Zbl 0242.90055 Anonymous 12 1972 Optimal iterative processes for root-finding. Zbl 0252.65041 Brent, Richard; Winograd, Shmuel; Wolfe, Philip 11 1973 Methods of nonlinear programming. Zbl 0225.90042 Wolfe, Philip 11 1963 Nondifferentiable optimization. Zbl 0335.00010 10 1975 Note on a method of conjugate subgradients for minimizing nondifferentiable functions. Zbl 0296.90039 Wolfe, Philip 8 1974 Accelerating the cutting plane method for nonlinear programming. Zbl 0109.14102 Wolfe, Philip 7 1961 The “ellipsoid algorithm”. Zbl 1225.90078 Wolfe, Philip 7 1980 Contributions to the theory of games. Vol. III. Zbl 0078.31001 7 1957 Sufficient minimization of piecewise-linear univariate functions. Zbl 0412.90047 Wolfe, P. 5 1978 A note on almost regular matrices. Zbl 0839.05023 Hoffman, A. J.; Wolfe, P.; Hofmeister, M. 5 1995 Some simplex-like nonlinear programming procedures. Zbl 0109.14004 Wolfe, Philip 5 1962 Error in the solution of linear programming problems. Zbl 0173.17903 Wolfe, Philip 4 1965 Recent developments on nonlinear programming. Zbl 0111.17205 Wolfe, Philip 3 1962 History. Zbl 0573.90092 Hoffman, A. J.; Wolfe, P. 3 1985 An outline of nonlinear programming. Zbl 0187.17505 Wolfe, Philip 2 1968 Determinateness of polyhedral games. Zbl 0072.37703 Wolfe, Philip 2 1956 Checking the calculation of gradients. Zbl 0493.65027 Wolfe, Philip 2 1982 The decomposition algorithm for linear programs. Zbl 0336.90032 Dantzig, George B.; Wolfe, Philip 1 1974 Minimizing a unimodal function of two integer variables. Zbl 0583.90073 Hoffman, Alan J.; Wolfe, Philip 1 1985 The RAND symposium on mathematical programming. Linear programming and recent extensions. Proceedings of a conference March 16-20, 1959. Zbl 0088.36602 1 1960 Linear programming in a Markov chain. Zbl 0158.38401 Wolfe, P.; Dantzig, G. B. 1 1967 Aspects of the traveling salesman problem. Zbl 0558.90067 Held, M.; Hoffman, A. J.; Johnson, E. L.; Wolfe, P. 1 1984 A note on almost regular matrices. Zbl 0839.05023 Hoffman, A. J.; Wolfe, P.; Hofmeister, M. 5 1995 History. Zbl 0573.90092 Hoffman, A. J.; Wolfe, P. 3 1985 Minimizing a unimodal function of two integer variables. Zbl 0583.90073 Hoffman, Alan J.; Wolfe, Philip 1 1985 Aspects of the traveling salesman problem. Zbl 0558.90067 Held, M.; Hoffman, A. J.; Johnson, E. L.; Wolfe, P. 1 1984 Checking the calculation of gradients. Zbl 0493.65027 Wolfe, Philip 2 1982 The “ellipsoid algorithm”. Zbl 1225.90078 Wolfe, Philip 7 1980 Sufficient minimization of piecewise-linear univariate functions. Zbl 0412.90047 Wolfe, P. 5 1978 Finding the nearest point in a polytope. Zbl 0352.90046 Wolfe, Philip 131 1976 A method of conjugate subgradients for minimizing nondifferentiable functions. Zbl 0369.90093 Wolfe, Philip 113 1975 The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices. Zbl 0355.90054 Cullum, Jane; Donath, W. E.; Wolfe, P. 37 1975 Nondifferentiable optimization. Zbl 0335.00010 10 1975 Validation of subgradient optimization. Zbl 0284.90057 Held, Michael; Wolfe, Philip; Crowder, Harlan P. 372 1974 Algorithm for a least-distance programming problem. Zbl 0359.90062 Wolfe, Philip 14 1974 Note on a method of conjugate subgradients for minimizing nondifferentiable functions. Zbl 0296.90039 Wolfe, Philip 8 1974 The decomposition algorithm for linear programs. Zbl 0336.90032 Dantzig, George B.; Wolfe, Philip 1 1974 Optimal iterative processes for root-finding. Zbl 0252.65041 Brent, Richard; Winograd, Shmuel; Wolfe, Philip 11 1973 Linear convergence of the conjugate gradient method. Zbl 0263.65068 Crowder, Harlan; Wolfe, Philip 17 1972 On the convergence of gradient methods under constraint. Zbl 0265.90046 Wolfe, Philip 17 1972 A new algorithm for optimization. Zbl 0242.90055 Anonymous 12 1972 Convergence conditions for ascent methods. II: Some corrections. Zbl 0216.26901 Wolfe, Philip 143 1971 Convergence theory in nonlinear programming. Zbl 0336.90045 Wolfe, P. 48 1970 Convergence conditions for ascent methods. Zbl 0177.20603 Wolfe, Philip 278 1969 An outline of nonlinear programming. Zbl 0187.17505 Wolfe, Philip 2 1968 Methods of nonlinear programming. Zbl 0178.22802 Wolfe, P. 42 1967 Linear programming in a Markov chain. Zbl 0158.38401 Wolfe, P.; Dantzig, G. B. 1 1967 The composite simplex algorithm. Zbl 0133.42703 Wolfe, Philip 24 1965 Error in the solution of linear programming problems. Zbl 0173.17903 Wolfe, Philip 4 1965 A technique for resolving degeneracy in linear programming. Zbl 0127.36903 Wolfe, Philip 37 1963 Recent advances in mathematical programming. Zbl 0122.00201 21 1963 Experiments in linear programming. Zbl 0223.90001 Wolfe, Philip; Cutler, Leola 19 1963 Methods of nonlinear programming. Zbl 0225.90042 Wolfe, Philip 11 1963 Linear programming in a Markov chain. Zbl 0124.36403 Wolfe, P.; Dantzig, G. B. 25 1962 Some simplex-like nonlinear programming procedures. Zbl 0109.14004 Wolfe, Philip 5 1962 Recent developments on nonlinear programming. Zbl 0111.17205 Wolfe, Philip 3 1962 A duality theorem for non-linear programming. Zbl 0109.38406 Wolfe, Philip 208 1961 The decomposition algorithm for linear programs. Zbl 0104.14305 Dantzig, George B.; Wolfe, Philip 118 1961 Accelerating the cutting plane method for nonlinear programming. Zbl 0109.14102 Wolfe, Philip 7 1961 Decomposition principle for linear programs. Zbl 0093.32806 Dantzig, George B.; Wolfe, Philip 443 1960 The RAND symposium on mathematical programming. Linear programming and recent extensions. Proceedings of a conference March 16-20, 1959. Zbl 0088.36602 1 1960 The simplex method for quadratic programming. Zbl 0103.37603 Wolfe, Philip 107 1959 The secant method for simultaneous nonlinear equations. Zbl 0093.13202 Wolfe, Philip 31 1959 A warehouse-location problem. Zbl 1414.90190 Baumol, William J.; Wolfe, Philip 15 1958 On a game without a value. Zbl 0078.33105 Sion, Maurice; Wolfe, Philip 17 1957 Contributions to the theory of games. Vol. III. Zbl 0078.31001 7 1957 Determinateness of polyhedral games. Zbl 0072.37703 Wolfe, Philip 2 1956 The generalized simplex method for minimizing a linear form under linear inequality restraints. Zbl 0064.39402 Dantzig, George B.; Orden, Alex; Wolfe, Philip 70 1955 The strict determinateness of certain infinite games. Zbl 0066.38003 Wolfe, Philip 20 1955 all cited Publications top 5 cited Publications all top 5 Cited by 3,022 Authors 30 Andrei, Neculai 18 Sherali, Hanif D. 16 Desaulniers, Guy 16 Desrosiers, Jacques 16 Soumis, François 15 Dong, Xiaoliang 11 Babaie-Kafaki, Saman 11 Bagirov, Adil M. 11 Kiwiel, Krzysztof Czesław 11 Larsson, Torbjörn 11 Terlaky, Tamás 10 Antczak, Tadeusz 10 Gaudioso, Manlio 10 Holmberg, Kaj 10 Iiduka, Hideaki 10 Kim, Do Sang 10 Pirkul, Hasan 9 Escudero, Laureano Fernando 9 Gouveia, Luis 9 Lemaréchal, Claude 9 Mamat, Mustafa Bin 9 Mangasarian, Olvi L. 9 Mine, Hisashi 9 Mishra, Shashi Kant 9 Sakawa, Masatoshi 9 Shi, Zhenjun 8 Christofides, Nicos 8 Frangioni, Antonio 8 Ho, James K. 8 Kawatra, Rakesh 8 Kim, Sehun 8 Lin, Yi-Kuei 8 Murty, Katta G. 7 Bazaraa, Mokhtar S. 7 Bector, C. R. 7 Chiou, Suh-Wen 7 Gendreau, Michel 7 Ghanbari, Reza 7 Gondzio, Jacek 7 Lübbecke, Marco E. 7 Maculan, Nelson F. 7 Pan, Ping-Qi 7 Pang, Liping 7 Rinaldi, Francesco 7 Thai Doan Chuong 7 Tung, Le Thanh 6 Alhawarat, Ahmad 6 Ecker, Joseph G. 6 Fathi, Yahya 6 Fujishige, Satoru 6 Goffin, Jean-Louis 6 Goode, Jamie J. 6 Han, Jiye 6 He, Yubo 6 Iori, Manuel 6 Jian, Jinbao 6 Letchford, Adam N. 6 Li, Xiangli 6 Liu, Hongwei 6 Martínez, José Mario 6 Mond, Bertram 6 Pardalos, Panos M. 6 Patriksson, Michael 6 Qu, Aiping 6 Rivaie, Mohd 6 Ruszczyński, Andrzej 6 Salleh, Zabidin 6 Shen, Jie 6 Ventura, Jose A. 6 Vial, Jean-Philippe 6 von Hohenbalken, Balder 6 Vrahatis, Michael N. 6 White, Douglas John 6 Yao, Shengwei 5 Absi, Nabil 5 Barahona, Francisco 5 Bektas, Tolga 5 Dauzère-Pérès, Stéphane 5 Elhallaoui, Issmail 5 Fletcher, Roger 5 Fominyh, Alexander V. 5 Fukushima, Masao 5 Gamst, Mette 5 Gendron, Bernard 5 Gill, Philip E. 5 Goldfarb, Donald 5 Hadjiconstantinou, Eleni 5 Jörnsten, Kurt O. 5 Konnov, Igor V. 5 Leong, Wah June 5 Li, Min 5 Lorena, Luiz Antonio Nogueira 5 Lucena, Abilio 5 Mifflin, Robert 5 Muter, Ịbrahim 5 Nobakhtian, Soghra 5 Noll, Dominikus 5 Nurminsky, E. A. 5 Pisinger, David 5 Powell, Michael James David ...and 2,922 more Authors all top 5 Cited in 275 Serials 292 European Journal of Operational Research 137 Computers & Operations Research 136 Journal of Optimization Theory and Applications 119 Mathematical Programming 109 Mathematical Programming. Series A. Series B 78 Annals of Operations Research 57 Journal of Mathematical Analysis and Applications 52 Optimization 45 Applied Mathematics and Computation 42 Computational Optimization and Applications 34 Operations Research Letters 33 Journal of Global Optimization 31 Journal of Computational and Applied Mathematics 27 Optimization Methods & Software 26 Discrete Applied Mathematics 26 Numerical Algorithms 24 Optimization Letters 18 Linear Algebra and its Applications 17 Automatica 16 Numerische Mathematik 16 SIAM Journal on Optimization 16 INFORMS Journal on Computing 15 Unternehmensforschung 15 Mathematical Programming Computation 14 Computers & Mathematics with Applications 13 Cybernetics 12 International Journal of Systems Science 12 Numerical Functional Analysis and Optimization 12 Applied Mathematical Modelling 11 Calcolo 11 Kybernetika 11 Journal of Applied Mathematics and Computing 10 Operations Research 10 Mathematical Problems in Engineering 10 Journal of Inequalities and Applications 10 RAIRO. Operations Research 9 Computing 9 Opsearch 9 International Journal of Computer Mathematics 9 Journal of Applied Mathematics 9 OR Spectrum 9 Discrete Optimization 8 Applied Mathematics and Optimization 8 Networks 8 OR Spektrum 8 Zeitschrift für Operations Research. Serie A: Theorie 8 Top 8 Journal of Machine Learning Research (JMLR) 7 Computer Methods in Applied Mechanics and Engineering 7 International Journal of Control 7 Fuzzy Sets and Systems 7 Information Sciences 7 Applied Numerical Mathematics 7 Cybernetics and Systems Analysis 7 Computational and Applied Mathematics 7 International Transactions in Operational Research 7 Optimization and Engineering 7 4OR 7 Set-Valued and Variational Analysis 6 Journal of Soviet Mathematics 6 Mathematics of Operations Research 6 Trabajos de Estadistica y de Investigacion Operativa 6 Journal of Information & Optimization Sciences 6 Japan Journal of Industrial and Applied Mathematics 6 Filomat 6 Journal of Scheduling 6 Journal of Industrial and Management Optimization 5 BIT 5 INFOR 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 International Journal of Production Research 5 Acta Mathematicae Applicatae Sinica. English Series 5 ZOR. Zeitschrift für Operations Research 5 Annals of Mathematics and Artificial Intelligence 5 CEJOR. Central European Journal of Operations Research 5 Structural and Multidisciplinary Optimization 4 Journal of Computational Physics 4 Journal of the Franklin Institute 4 The Journal of Symbolic Logic 4 SIAM Review 4 Mathematical Methods of Operations Research 4 Naval Research Logistics Quarterly 4 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 4 Statistics and Computing 4 Journal of the Operations Research Society of China 3 Mathematics of Computation 3 Journal of Computer and System Sciences 3 Mathematics and Computers in Simulation 3 Meccanica 3 Naval Research Logistics 3 RAIRO. Analyse Numérique 3 Statistica Neerlandica 3 Theoretical Computer Science 3 Annals of Pure and Applied Logic 3 Computational Mechanics 3 Games and Economic Behavior 3 Communications in Statistics. Simulation and Computation 3 Zeitschrift für Operations Research. Serie B: Praxis 3 SIAM Journal on Scientific Computing ...and 175 more Serials all top 5 Cited in 45 Fields 1,826 Operations research, mathematical programming (90-XX) 613 Numerical analysis (65-XX) 276 Calculus of variations and optimal control; optimization (49-XX) 128 Computer science (68-XX) 111 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 54 Systems theory; control (93-XX) 47 Combinatorics (05-XX) 47 Statistics (62-XX) 29 Convex and discrete geometry (52-XX) 23 Real functions (26-XX) 20 Mechanics of deformable solids (74-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Information and communication theory, circuits (94-XX) 18 Mathematical logic and foundations (03-XX) 15 Biology and other natural sciences (92-XX) 14 Partial differential equations (35-XX) 13 History and biography (01-XX) 13 Functional analysis (46-XX) 13 Probability theory and stochastic processes (60-XX) 12 Operator theory (47-XX) 10 Approximations and expansions (41-XX) 7 Mechanics of particles and systems (70-XX) 7 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 4 General topology (54-XX) 4 Geophysics (86-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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