Mathematical ProgrammingA Publication of the Mathematical Programming Society Short Title: Math. Program. Publisher: Springer, Berlin ISSN: 0025-5610; 1436-4646/e Online: http://link.springer.com/journal/volumesAndIssues/10107 Successor: Mathematical Programming. Series A. Series B Comments: Journal; No longer indexed; Initially published by Elsevier (1971-1989). Continues as ”Math. Program. (A)”. Documents Indexed: 963 Publications (1971–1987) References Indexed: 960 Publications with 13,883 References. all top 5 Latest Issues 39 (1987) 38 (1987) 37 (1987) 36 (1986) 35 (1986) 34 (1986) 33 (1985) 32 (1985) 31 (1985) 30 (1984) 29 (1984) 28 (1984) 27 (1983) 26 (1983) 25 (1983) 24 (1982) 23 (1982) 22 (1982) 21 (1981) 20 (1981) 19 (1980) 18 (1980) 17 (1979) 16 (1979) 15 (1978) 14 (1978) 13 (1977) 12 (1977) 11 (1976/1977) 10 (1976) 9 (1975) 8 (1975) 7 (1974) 6 (1974) 5 (1973) 4 (1973) 3 (1972) 2 (1972) 1 (1971) all top 5 Authors 14 Todd, Michael J. 13 Powell, Michael James David 11 Gould, Floyd J. 11 Kojima, Masakazu 11 Pang, Jong-Shi 9 Glover, Fred W. 9 Goldfarb, Donald 9 Tamir, Arie 9 Van der Laan, Gerard 9 Wolsey, Laurence Alexander 8 Borwein, Jonathan Michael 8 Cottle, Richard W. 8 Eaves, B. Curtis 8 Grötschel, Martin 8 Mangasarian, Olvi L. 8 Padberg, Manfred W. 8 Talman, Dolf 7 Dyer, Martin E. 7 Gill, Philip E. 7 Megiddo, Nimrod 7 Murray, Walter 7 Nemhauser, George L. 7 Saigal, Romesh 7 Sherali, Hanif D. 6 Coleman, Thomas F. 6 Dembo, Ron S. 6 Ferland, Jacques A. 6 Jeroslow, Robert G. 6 Johnson, Ellis L. 6 Mifflin, Robert 6 Murty, Katta G. 6 Trotter, Leslie E. jun. 6 Zlobec, Sanjo 5 Balas, Egon 5 Bertsekas, Dimitri Panteli 5 Buckley, Albert G. 5 Charalambous, Christakis 5 Conn, Andrew Roger 5 Cornuéjols, Gérard P. 5 Crouzeix, Jean-Pierre 5 de Werra, Dominique 5 Dinkel, John J. 5 Fisher, Marshall L. 5 Granot, Daniel 5 Kaneko, Ikuyo 5 Kochenberger, Gary A. 5 Posner, Marc E. 5 Rinnooy Kan, Alexander Hendrik George 5 Rothblum, Uriel George 5 Saunders, Michael A. 5 Smeers, Yves 5 Wolfe, Philip Starr 5 Yamamoto, Yoshitsugu 4 Armstrong, Ronald D. 4 Balinski, Michel Louis 4 Best, Michael J. 4 Fletcher, Roger 4 Frieze, Alan Michael 4 Fujishige, Satoru 4 Fukushima, Masao 4 Goffin, Jean-Louis 4 Ho, James K. 4 Jones, Philip C. 4 Klingman, Darwin D. 4 Lenard, Melanie L. 4 McCormick, Garth Philip 4 Moré, Jorge J. 4 Orlin, James B. 4 Polak, Elijah (Lucien) 4 Robinson, Stephen M. 4 Schaible, Siegfried 4 Sen, Suvrajeet 4 Stone, Richard Evan 4 Toint, Philippe Louis 4 von Hohenbalken, Balder 4 Wright, Margaret H. 4 Yuan, Ya-xiang 3 Aganagic, Muhamed 3 Avriel, Mordecai 3 Bazaraa, Mokhtar S. 3 Benveniste, Regina 3 Birge, John R. 3 Boender, C. Guus E. 3 Byrd, Richard H. 3 Chandrasekaran, Ramaswamy 3 Christofides, Nicos 3 Cunningham, William H. 3 Ecker, Joseph G. 3 Edmonds, Jack R. 3 Evans, James R. 3 Fathi, Yahya 3 Fiacco, Anthony V. 3 Flachs, Jacob 3 Fourer, Robert 3 Fulkerson, Delbert R. 3 Garstka, Stanley J. 3 Gauthier, J.-M. 3 Giles, Rick 3 Goode, Jamie J. 3 Gould, Nicholas Ian Mark ...and 667 more Authors all top 5 Fields 899 Operations research, mathematical programming (90-XX) 404 Numerical analysis (65-XX) 134 Calculus of variations and optimal control; optimization (49-XX) 84 Computer science (68-XX) 68 Combinatorics (05-XX) 63 Convex and discrete geometry (52-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 30 Approximations and expansions (41-XX) 27 General topology (54-XX) 23 Real functions (26-XX) 6 Information and communication theory, circuits (94-XX) 5 Algebraic topology (55-XX) 5 Statistics (62-XX) 4 Functions of a complex variable (30-XX) 4 Operator theory (47-XX) 4 Systems theory; control (93-XX) 3 Functional analysis (46-XX) 2 Number theory (11-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 902 Publications have been cited 23,803 times in 15,633 Documents Cited by ▼ Year ▼ Computability of global solutions to factorable nonconvex programs. I: Convex underestimating problems. Zbl 0349.90100 McCormick, Garth P. 515 1976 An analysis of approximations for maximizing submodular set functions-I. Zbl 0374.90045 Nemhauser, G. L.; Wolsey, L. A.; Fisher, M. L. 445 1978 Validation of subgradient optimization. Zbl 0284.90057 Held, Michael; Wolfe, Philip; Crowder, Harlan P. 371 1974 Some NP-complete problems in quadratic and nonlinear programming. Zbl 0637.90078 Murty, Katta G.; Kabadi, Santosh N. 307 1987 An outer-approximation algorithm for a class of mixed-integer nonlinear programs. Zbl 0619.90052 Duran, Marco A.; Grossmann, Ignacio E. 256 1986 On the facial structure of set packing polyhedra. Zbl 0272.90041 Padberg, Manfred W. 250 1973 Matching, Euler tours and the Chinese postman. Zbl 0281.90073 Edmonds, Jack; Johnson, Ellis L. 246 1973 Vertex packings: structural properties and algorithms. Zbl 0314.90059 Nemhauser, G. L.; Trotter, L. E. jun. 220 1975 Matroids and the greedy algorithm. Zbl 0253.90027 Edmonds, Jack 218 1971 The traveling-salesman problem and minimum spanning trees. II. Zbl 0232.90038 Held, Michael; Karp, Richard M. 209 1971 Blocking and anti-blocking pairs of polyhedra. Zbl 0254.90054 Fulkerson, D. R. 201 1971 Projected gradient methods for linearly constrained problems. Zbl 0634.90064 Calamai, Paul H.; Moré, Jorge J. 188 1987 Restart procedures for the conjugate gradient method. Zbl 0396.90072 Powell, M. J. D. 167 1977 Facets of the knapsack polytope. Zbl 0316.90046 Balas, Egon 165 1975 On the cut polytope. Zbl 0616.90058 Barahona, Francisco; Mahjoub, Ali Ridha 165 1986 On the basic theorem of complementarity. Zbl 0227.90044 Eaves, B. C. 164 1971 Linear programming with multiple objective functions: step method (stem). Zbl 0242.90026 Benayoun, R.; de Montgolfier, J.; Tergny, J.; Laritchev, O. 164 1971 A numerically stable dual method for solving strictly convex quadratic programs. Zbl 0537.90081 Goldfarb, D.; Idnani, A. 160 1983 An interactive weighted Tchebycheff procedure for multiple objective programming. Zbl 0506.90075 Steuer, Ralph E.; Choo, Eng-Ung 155 1983 On the core of linear production games. Zbl 0318.90060 Owen, Guillermo 145 1975 Exact algorithms for the vehicle routing problem, based on spanning tree and shortest path relaxations. Zbl 0461.90067 Christofides, N.; Mingozzi, A.; Toth, P. 145 1981 On projected Newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method. Zbl 0624.90062 Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Tomlin, J. A.; Wright, Margaret H. 136 1986 Finding the nearest point in a polytope. Zbl 0352.90046 Wolfe, Philip 131 1976 Exact penalty functions in nonlinear programming. Zbl 0424.90057 Han, S.-P.; Mangasarian, O. L. 131 1979 The complementarity problem. Zbl 0247.90058 Karamardian, S. 123 1972 First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems. Zbl 0398.90109 Maurer, H.; Zowe, J. 123 1979 A relaxed projection method for variational inequalities. Zbl 0598.49024 Fukushima, Masao 121 1986 Decomposition through formalization in a product space. Zbl 0523.49022 Pierra, G. 119 1984 Properties of vertex packing and independence system polyhedra. Zbl 0281.90072 Nemhauser, G. L.; Trotter, L. E. jun. 118 1974 Faces for a linear inequality in O-1 variables. Zbl 0314.90063 Wolsey, Laurence A. 117 1975 Necessary and sufficient conditions in constrained optimization. Zbl 0622.49005 Hanson, M. A.; Mond, B. 117 1987 Algorithms for the vector maximization problem. Zbl 0288.90052 Philip, Johan 116 1972 Lagrangean decomposition: A model yielding stronger Lagrangean bounds. Zbl 0638.90074 Guignard, Monique; Kim, Siwhan 115 1987 Newton-type methods for unconstrained and linearly constrained optimization. Zbl 0297.90082 Gill, Philip E.; Murray, Walter 115 1974 A variation on Karmarkar’s algorithm for solving linear programming problems. Zbl 0626.90052 Barnes, Earl R. 114 1986 A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming. Zbl 0354.90075 Gauvin, Jacques 112 1977 Minimum cost spanning tree games. Zbl 0461.90099 Granot, Daniel; Huberman, Gur 112 1981 Convergence of an annealing algorithm. Zbl 0581.90061 Lundy, M.; Mees, A. 111 1986 Truncated-Newton algorithms for large-scale unconstrained optimization. Zbl 0523.90078 Dembo, Ron S.; Steihaug, Trond 110 1983 A dual approach to solving nonlinear programming problems by unconstrained optimization. Zbl 0279.90035 Rockafellar, R. Tyrrell 110 1973 A dual ascent approach for Steiner tree problems on a directed graph. Zbl 0532.90092 Wong, Richard T. 106 1984 Large-scale linearly constrained optimization. Zbl 0383.90074 Murtagh, B. A.; Saunders, M. A. 104 1978 Some continuous functions related to corner polyhedra. Zbl 0246.90029 Gomory, Ralph E.; Johnson, Ellis L. 103 1972 Iterative methods for variational and complementarity problems. Zbl 0499.90074 Pang, J. S.; Chan, D. 102 1982 Superlinearly convergent variable metric algorithms for general nonlinear programming problems. Zbl 0364.90097 Han, Shih-Ping 102 1977 The polynomial hierarchy and a simple model for competitive analysis. Zbl 0588.90053 Jeroslow, Robert G. 101 1985 Greedy algorithm and symmetric matroids. Zbl 0633.90089 Bouchet, André 100 1987 The traveling salesman problem on a graph and some related integer polyhedra. Zbl 0562.90095 Cornuéjols, Gérard; Fonlupt, Jean; Naddef, Denis 100 1985 A note on Fermat’s problem. Zbl 0255.90063 Kuhn, Harold W. 99 1973 Homotopies for computation of fixed points. Zbl 0276.55004 Eaves, B. Curtis 99 1972 Finding all efficient extreme points for multiple objective linear programs. Zbl 0385.90105 Ecker, J. G.; Kouada, I. A. 98 1978 Optimal conditioning of self-scaling variable metric algorithms. Zbl 0342.90045 Oren, Shmuel S.; Spedicato, Emilio 97 1976 A branch and bound algorithm for the generalized assignment problem. Zbl 0308.90028 Ross, G. Terry; Soland, Richard M. 96 1975 Perfect zero-one matrices. Zbl 0284.90061 Padberg, Manfred W. 95 1974 Facet of regular O-1 polytopes. Zbl 0314.90064 Hammer, P. L.; Johnson, E. L.; Peled, U. N. 95 1975 Stochastic global optimization methods. II: Multi level methods. Zbl 0634.90067 Rinnooy Kan, A. H. G.; Timmer, G. T. 93 1987 Stochastic global optimization methods. I: Clustering methods. Zbl 0634.90066 Rinnooy Kan, A. H. G.; Timmer, G. T. 89 1987 A regularized decomposition method for minimizing a sum of polyhedral functions. Zbl 0599.90103 Ruszczyński, Andrzej 89 1986 Sensitivity analysis for nonlinear programming using penalty methods. Zbl 0357.90064 Fiacco, Anthony V. 88 1976 Homotopies for computation of fixed points on unbounded regions. Zbl 0258.65060 Eaves, B. Curtis; Saigal, Romesh 87 1972 Inexact Newton methods for the nonlinear complementarity problem. Zbl 0613.90097 Pang, Jong-Shi 84 1986 An algorithm for nonconvex programming problems. Zbl 0337.90062 Horst, Reiner 83 1976 A revised simplex method for linear multiple objective programs. Zbl 0281.90045 Evans, J. P.; Steuer, R. E. 83 1973 Matrix conditioning and nonlinear optimization. Zbl 0371.90109 Shanno, D. F.; Phua, Kang-Hoh 82 1978 Algorithms for nonlinear constraints that use Lagrangian functions. Zbl 0383.90092 Powell, M. J. D. 82 1978 An iterative scheme for variational inequalities. Zbl 0506.65026 Dafermos, Stella 80 1983 On the global convergence of trust region algorithms for unconstrained minimization. Zbl 0569.90069 Powell, M. J. D. 80 1984 Scalarization in vector optimization. Zbl 0539.90093 Jahn, Johannes 79 1984 Some continuous functions related to corner polyhedra. II. Zbl 0254.90036 Gomory, Ralph E.; Johnson, Ellis L. 79 1972 An aggregate subgradient method for nonsmooth convex minimization. Zbl 0525.90074 Kiwiel, Krzysztof Czeslaw 78 1983 Balanced matrices. Zbl 0247.05126 Berge, C. 78 1972 Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems. Zbl 0488.90059 Ben-Tal, A.; Zowe, J. 77 1982 Asymmetric variational inequality problems over product sets: applications and iterative methods. Zbl 0578.49006 Pang, Jong-Shi 77 1985 A mathematical programming approach for determining oligopolistic market equilibrium. Zbl 0486.90015 Murphy, Frederic H.; Sherali, Hanif D.; Soyster, Allen L. 75 1982 Perturbed Kuhn-Tucker points and rates of convergence for a class of nonlinear-programming algorithms. Zbl 0294.90078 Robinson, Stephen M. 75 1974 Roof duality, complementation and persistency in quadratic 0-1 optimization. Zbl 0574.90066 Hammer, P. L.; Hansen, P.; Simeone, B. 75 1984 \(r\)-convex functions. Zbl 0249.90063 Avriel, Mordecai 74 1972 Facets of the linear ordering polytope. Zbl 0577.05035 Grötschel, Martin; Jünger, Michael; Reinelt, Gerhard 74 1985 Duality in generalized linear fractional programming. Zbl 0526.90083 Crouzeix, Jean-Pierre; Ferland, Jacques A.; Schaible, Siegfried 73 1983 Analysis of mathematical programming problems prior to applying the simplex algorithm. Zbl 0317.90037 Brearley, A. L.; Mitra, G.; Williams, H. P. 73 1975 A cutting plane algorithm for solving bilinear programs. Zbl 0353.90069 Konno, Hiroshi 73 1976 Problems and methods with multiple objective functions. Zbl 0254.90061 Roy, B. 72 1971 On optimality conditions in nondifferentiable programming. Zbl 0373.90071 Hiriart-Urruty, J. B. 71 1978 Sensitivity theorems in integer linear programming. Zbl 0648.90055 Cook, W.; Gerards, A. M. H.; Schrijver, A.; Tardos, É. 70 1986 The value of the stochastic solution in stochastic linear programs with fixed recourse. Zbl 0502.90065 Birge, John R. 69 1982 On the symmetric travelling salesman problem I: inequalities. Zbl 0413.90048 Grötschel, Martin; Padberg, Manfred W. 69 1979 A polynomially bounded algorithm for a singly constrained quadratic program. Zbl 0452.90054 Helgason, R.; Kennington, J.; Lall, H. 69 1980 Efficient algorithms for solving multiconstraint zero-one knapsack problems to optimality. Zbl 0571.90065 Gavish, Bezalel; Pirkul, Hasan 67 1985 Multivalued convexity and optimization: A unified approach to inequality and equality constraints. Zbl 0375.90062 Borwein, J. 66 1977 Pivot selection methods of the devex LP code. Zbl 0261.90031 Harris, Paula M. J. 65 1973 Maximizing the minimum source-sink path subject to a budget constraint. Zbl 0366.90115 Fulkerson, D. R.; Harding, Gary C. 65 1977 A dual algorithm for the one-machine scheduling problem. Zbl 0359.90039 Fisher, Marshall L. 63 1977 Linear complementarity problems solvable by a single linear program. Zbl 0355.90040 Mangasarian, O. L. 62 1976 epsilon-optimal solutions in nondifferentiable convex programming and some related questions. Zbl 0495.90067 Strodiot, J.-J.; Nguyen, V. Hien; Heukemes, Norbert 61 1983 On the existence of optimal solutions to integer and mixed-integer programming problems. Zbl 0292.90036 Meyer, R. R. 61 1974 Applications of the method of partial inverses to convex programming: Decomposition. Zbl 0565.90058 Spingarn, Jonathan E. 60 1985 Optimization of Lipschitz continuous functions. Zbl 0394.90088 Goldstein, A. A. 60 1977 The value function of an integer program. Zbl 0482.90068 Blair, C. E.; Jeroslow, R. G. 59 1982 Necessary and sufficient conditions for a penalty method to be exact. Zbl 0325.90055 Bertsekas, Dimitri P. 59 1975 On search directions for minimization algorithms. Zbl 0258.90043 Powell, M. J. D. 58 1973 Some NP-complete problems in quadratic and nonlinear programming. Zbl 0637.90078 Murty, Katta G.; Kabadi, Santosh N. 307 1987 Projected gradient methods for linearly constrained problems. Zbl 0634.90064 Calamai, Paul H.; Moré, Jorge J. 188 1987 Necessary and sufficient conditions in constrained optimization. Zbl 0622.49005 Hanson, M. A.; Mond, B. 117 1987 Lagrangean decomposition: A model yielding stronger Lagrangean bounds. Zbl 0638.90074 Guignard, Monique; Kim, Siwhan 115 1987 Greedy algorithm and symmetric matroids. Zbl 0633.90089 Bouchet, André 100 1987 Stochastic global optimization methods. II: Multi level methods. Zbl 0634.90067 Rinnooy Kan, A. H. G.; Timmer, G. T. 93 1987 Stochastic global optimization methods. I: Clustering methods. Zbl 0634.90066 Rinnooy Kan, A. H. G.; Timmer, G. T. 89 1987 Bayesian stopping rules for multistart global optimization methods. Zbl 0626.90079 Boender, C. G. E.; Rinnooy Kan, A. H. G. 45 1987 A variant of Karmarkar’s linear programming algorithm for problems in standard form. Zbl 0629.90056 Gay, David M. 42 1987 An algorithm based on a sequence of linear complementarity problems applied to a Walrasian equilibrium model: An example. Zbl 0613.90098 Mathiesen, Lars 38 1987 Recovering optimal dual solutions in Karmarkar’s polynomial algorithm for linear programming. Zbl 0639.90062 Ye, Yinyu; Kojima, Masakazu 35 1987 Local epi-continuity and local optimization. Zbl 0623.90078 Robinson, Stephen M. 31 1987 A projected Newton method for \(\ell _ p\) norm location problems. Zbl 0642.90035 Calamai, Paul H.; Conn, Andrew R. 26 1987 A constructive characterization of \(Q_ 0\)-matrices with nonnegative principal minors. Zbl 0618.90091 Aganagić, Muhamed; Cottle, Richard W. 26 1987 Hit-and-run algorithms for the identification of nonredundant linear inequalities. Zbl 0624.90060 Berbee, H. C. P.; Boender, C. G. E.; Rinnooy Kan, A. H. G.; Scheffer, C. L.; Smith, R. L.; Telgen, J. 25 1987 Structural properties and recognition of restricted and strongly unimodular matrices. Zbl 0642.90104 Conforti, Michele; Rao, M. R. 24 1987 Relaxation methods for problems with strictly convex separable costs and linear constraints. Zbl 0636.90072 Tseng, Paul; Bertsekas, Dimitri P. 21 1987 A generalization of Polyak’s convergence result for subgradient optimization. Zbl 0631.90060 Allen, Ellen; Helgason, Richard; Kennington, Jeffery; Shetty, Bala 20 1987 A variable-metric variant of the Karmarkar algorithm for linear programming. Zbl 0635.90058 Dennis, J. E. jun.; Morshedi, A. M.; Turner, Kathryn 20 1987 Second order necessary and sufficient conditions for convex composite NDO. Zbl 0641.49013 Burke, James V. 20 1987 A primal-dual algorithm for the Fermat-Weber problem involving mixed gauges. Zbl 0641.90034 Michelot, C.; Lefebvre, O. 20 1987 An exact penalty function for semi-infinite programming. Zbl 0623.90069 Conn, Andrew R.; Gould, Nicholas I. M. 19 1987 Updating conjugate directions by the BFGS formula. Zbl 0642.90086 Powell, M. J. D 18 1987 Roof duality for polynomial 0-1 optimization. Zbl 0632.90044 Lu, S. H.; Williams, A. C. 15 1987 Nondifferentiable reverse convex programs and facetial convexity cuts via a disjunctive characterization. Zbl 0626.90078 Sen, S.; Sherali, Hanif D. 14 1987 A piecewise linear upper bound on the network recourse function. Zbl 0632.90049 Wallace, Stein W. 14 1987 Sequential stopping rules for the Multistart algorithm in global optimisation. Zbl 0635.90075 Betrò, Bruno; Schoen, Fabio 14 1987 Generalized convexity and concavity of the optimal value function in nonlinear programming. Zbl 0643.90071 Kyparisis, Jerzy; Fiacco, Anthony V. 14 1987 Approximation algorithms for combinatorial fractional programming problems. Zbl 0616.90078 Hashizume, Satoru; Fukushima, Masao; Katoh, Naoki; Ibaraki, Toshihide 13 1987 Dual gauge programs, with applications to quadratic programming and the minimum-norm problem. Zbl 0632.90054 Freund, Robert M. 12 1987 Bifurcation problems in nonlinear parametric programming. Zbl 0639.90084 Poore, A. B.; Tiahrt, C. A. 12 1987 An extension of Karmarkar’s algorithm for solving a system of linear homogeneous equations on the simplex. Zbl 0636.90054 de Ghellinck, G.; Vial, J.-Ph. 10 1987 A new simplicial variable dimension algorithm to find equilibria on the product space of unit simplices. Zbl 0616.90084 Doup, T. M.; Talman, A. J. J. 10 1987 Directional derivatives for the value-function in semi-infinite programming. Zbl 0636.90088 Zencke, P.; Hettich, R. 8 1987 Transportation problems which can be solved by the use of Hirsch-paths for the dual problems. Zbl 0642.90070 Kleinschmidt, Peter; Lee, Carl W.; Schannath, Heinz 8 1987 Counting almost minimum cutsets with reliability applications. Zbl 0631.90029 Ramanathan, Aparna; Colbourn, Charles J. 7 1987 Total dual integrality implies local strong unimodularity. Zbl 0633.90061 Gerards, Albertus M. H.; Sebő, András 7 1987 An active set method for solving linearly constrained nonsmooth optimization problems. Zbl 0641.90061 Panier, Eliane R. 7 1987 Robustness and nondegenerateness for linear complementarity problems. Zbl 0623.90080 Jansen, M. J. M.; Tijs, S. H. 7 1987 Worst-case analysis of the differencing method for the partition problem. Zbl 0609.90094 Fischetti, Matteo; Martello, Silvano 6 1987 Nested decomposition of multistage nonlinear programs with recourse. Zbl 0619.90054 Noël, Marie-Cécile; Smeers, Yves 6 1987 Simplicial approximation of solutions to the nonlinear complementarity problem with lower and upper bounds. Zbl 0633.90082 van der Laan, Gerard; Talman, A. J. J. 5 1987 Dual row modules and polyhedra of blocking group problems. Zbl 0636.90064 Chopra, Sunil; Johnson, Ellis L. 5 1987 On the global convergence of path-following methods to determine all solutions to a system of nonlinear equations. Zbl 0632.65057 Diener, Immo 4 1987 The \((2^{n+1}-2)\)-ray algorithm: A new simplicial algorithm to compute economic equilibria. Zbl 0638.90089 Doup, T. M.; van der Laan, Gerard; Talman, A. J. J. 4 1987 Packing and covering with integral feasible flows in integral supply- demand networks. Zbl 0646.90033 Bixby, R. E.; Marcotte, O. M.-C.; Trotter, L. E. jun. 4 1987 Local properties of inexact methods for minimizing nonsmooth composite functions. Zbl 0622.90072 Wright, Stephen J. 4 1987 A variable rate refining triangulation. Zbl 0634.90062 Broadie, Mark N.; Eaves, B. Curtis 3 1987 Revised Dantzig-Wolfe decomposition for staircase-structured linear programs. Zbl 0638.90067 Jackson, Peter L.; Lynch, David F. 3 1987 LP extreme points and cuts for the fixed-charge network design problem. Zbl 0637.90095 Balakrishnan, Anantaram 2 1987 Partitions into odd chains. Zbl 0616.90015 de Werra, Dominique 2 1987 On the complexity of the exchange algorithm for minimax optimization problems. Zbl 0632.90064 Drezner, Zvi 1 1987 Optimal design of efficient acoustic antenna arrays. Zbl 0643.49009 Lasdon, L. S.; Plummer, John; Buehler, B.; Waren, A. D. 1 1987 An outer-approximation algorithm for a class of mixed-integer nonlinear programs. Zbl 0619.90052 Duran, Marco A.; Grossmann, Ignacio E. 256 1986 On the cut polytope. Zbl 0616.90058 Barahona, Francisco; Mahjoub, Ali Ridha 165 1986 On projected Newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method. Zbl 0624.90062 Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Tomlin, J. A.; Wright, Margaret H. 136 1986 A relaxed projection method for variational inequalities. Zbl 0598.49024 Fukushima, Masao 121 1986 A variation on Karmarkar’s algorithm for solving linear programming problems. Zbl 0626.90052 Barnes, Earl R. 114 1986 Convergence of an annealing algorithm. Zbl 0581.90061 Lundy, M.; Mees, A. 111 1986 A regularized decomposition method for minimizing a sum of polyhedral functions. Zbl 0599.90103 Ruszczyński, Andrzej 89 1986 Inexact Newton methods for the nonlinear complementarity problem. Zbl 0613.90097 Pang, Jong-Shi 84 1986 Sensitivity theorems in integer linear programming. Zbl 0648.90055 Cook, W.; Gerards, A. M. H.; Schrijver, A.; Tardos, É. 70 1986 Global minimization of large-scale constrained concave quadratic problems by separable programming. Zbl 0597.90066 Rosen, J. B.; Pardalos, P. M. 54 1986 Network design problem with congestion effects: A case of bilevel programming. Zbl 0604.90053 Marcotte, P. 54 1986 Critical sets in parametric optimization. Zbl 0599.90114 Jongen, H. Th.; Jonker, P.; Twilt, F. 50 1986 An implementation of a discretization method for semi-infinite programming. Zbl 0592.90061 Hettich, R. 46 1986 An algorithm for finding the global maximum of a multimodal, multivariate function. Zbl 0598.90075 Mladineo, Regina Hunter 45 1986 An exact penalty function method with global convergence properties for nonlinear programming problems. Zbl 0631.90061 Di Pilli, G.; Grippo, L. 44 1986 A recursive quadratic programming algorithm that uses differentiable exact penalty functions. Zbl 0598.90079 Powell, M. J. D.; Yuan, Yaxiang 44 1986 A generalized linear production model: A unifying model. Zbl 0604.90142 Granot, Daniel 43 1986 A successive quadratic programming algorithm with global and superlinear convergence properties. Zbl 0597.90077 Fukushima, Masao 42 1986 Some comments on Wolfe’s ’away step’. Zbl 0592.90074 Guélat, Jacques; Marcotte, Patrice 41 1986 Error bounds for monotone linear complementarity problems. Zbl 0613.90095 Mangasarian, O. L.; Shiau, T.-H. 40 1986 A two-stage feasible directions algorithm for nonlinear constrained optimization. Zbl 0623.90070 Herskovits, José 35 1986 How bad are the BFGS and DFP methods when the objective function is quadratic? Zbl 0581.90068 Powell, M. J. D. 31 1986 Convex quadratic programming with one constraint and bounded variables. Zbl 0633.90057 Dussault, Jean-Pierre; Ferland, Jacques A.; Lemaire, Bernard 28 1986 A competitive (dual) simplex method for the assignment problem. Zbl 0596.90064 Balinski, M. L. 27 1986 Global convergence of the partitioned BFGS algorithm for convex partially separable optimization. Zbl 0626.90076 Toint, Ph. L. 22 1986 Uniqueness and differentiability of solutions of parametric nonlinear complementarity problems. Zbl 0613.90096 Kyparisis, Jerzy 19 1986 Continuity of the null space basis and constrained optimization. Zbl 0598.90072 Byrd, Richard H.; Schnabel, Robert B. 18 1986 Broyden’s method in Hilbert space. Zbl 0598.90080 Sachs, Ekkehard W. 18 1986 Polynomial expected behavior of a pivoting algorithm for linear complementarity and linear programming problems. Zbl 0613.90094 Todd, Michael J. 18 1986 A simple constraint qualification in infinite dimensional programming. Zbl 0597.90056 Borwein, J. M.; Wolkowicz, H. 17 1986 Two algorithms for weighted matroid intersection. Zbl 0632.90045 Brezovec, Carl; Cornuéjols, Gérard; Glover, Fred 16 1986 On Fan’s minimax theorem. Zbl 0589.49005 Borwein, J. M.; Zhuang, D. 16 1986 Additively decomposed quasiconvex functions. Zbl 0594.26009 Crouzeix, J.-P.; Lindberg, P. O. 16 1986 On linear programs with random costs. Zbl 0593.90061 Dyer, M. E.; Frieze, A. M.; McDiarmid, C. J. H. 14 1986 Continuous maximin knapsack problems with GLB constraints. Zbl 0625.90055 Eiselt, H. A. 13 1986 On box totally dual integral polyhedra. Zbl 0589.52006 Cook, William 12 1986 A linear expected-time algorithm for deriving all logical conclusions implied by a set of Boolean inequalities. Zbl 0596.90067 Hansen, Pierre; Jaumard, Brigitte; Minoux, Michel 11 1986 A capacity-rounding algorithm for the minimum-cost circulation problem: A dual framework of the Tardos algorithm. Zbl 0597.90029 Fujishige, Satoru 11 1986 A note on optimality conditions for the Euclidean multifacility location problem. Zbl 0614.90033 Dax, Achiya 10 1986 A note on degeneracy in linear programming. Zbl 0596.90057 Megiddo, Nimrod 9 1986 On the continuity of a Lagrangian multiplier function in input optimization. Zbl 0599.49021 Semple, J.; Zlobec, S. 9 1986 Binary group and Chinese postman polyhedra. Zbl 0589.52004 Gastou, Gilles; Johnson, Ellis L. 8 1986 A class of convergent primal-dual subgradient algorithms for decomposable convex programs. Zbl 0594.90074 Sen, S.; Sherali, Hanif D. 8 1986 A method of linearizations for linearly constrained nonconvex nonsmooth minimization. Zbl 0596.90078 Kiwiel, Krzysztof C. 8 1986 Piecewise-linear programming: The compact (CPLP) algorithm. Zbl 0617.90070 Premoli, Amedeo 8 1986 Improved asymptotic analysis of the average number of steps performed by the self-dual simplex algorithm. Zbl 0618.90061 Megiddo, Nimrod 8 1986 A convergence theorem of Rosen’s gradient projection method. Zbl 0626.90077 Du, Dingzhu; Zhang, Xiangsun 7 1986 ...and 802 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 15,422 Authors 59 Cornuéjols, Gérard P. 55 Letchford, Adam N. 55 Sherali, Hanif D. 54 Pang, Jong-Shi 47 Jian, Jinbao 47 Pardalos, Panos M. 47 Qi, Liqun 47 Yang, Xiaoqi 45 Puerto Albandoz, Justo 41 Antczak, Tadeusz 40 Wolsey, Laurence Alexander 39 Conforti, Michele 38 Todd, Michael J. 36 Benson, Harold P. 36 Glover, Fred W. 36 Lucidi, Stefano 35 Dey, Santanu Subhas 35 Escudero, Laureano Fernando 35 Fang, Shu-Cherng 34 Lodi, Andrea 34 Weismantel, Robert 33 Lukšan, Ladislav 32 Babaie-Kafaki, Saman 32 Censor, Yair 32 Laporte, Gilbert 32 Zhang, Liwei 31 Horst, Reiner 31 Noor, Muhammad Aslam 30 Basu, Amitabh 30 Fukushima, Masao 30 Martínez, José Mario 30 Nemhauser, George L. 29 Barahona, Francisco 29 Barton, Paul I. 29 Dang, Chuangyin 29 Fujishige, Satoru 29 Jörnsten, Kurt O. 29 Mangasarian, Olvi L. 28 Liberti, Leo 28 Punnen, Abraham P. 28 Toint, Philippe Louis 27 Grossmann, Ignacio E. 27 Kiwiel, Krzysztof Czesław 27 Laurent, Monique 27 Stein, Oliver 26 Sahinidis, Nikolaos V. 26 Talman, Dolf 26 Wang, Changyu 26 Ye, Yinyu 26 Zhang, Jianzhong 25 Del Pia, Alberto 25 Goldfarb, Donald 25 Kojima, Masakazu 25 Schaible, Siegfried 25 Yuan, Ya-xiang 25 Zhu, Detong 24 Bertsekas, Dimitri Panteli 24 Bomze, Immanuel M. 24 Dempe, Stephan 24 Hansen, Pierre 24 Labbé, Martine V. 24 Penot, Jean-Paul 24 Polak, Elijah (Lucien) 24 Tamir, Arie 24 Terlaky, Tamás 24 Xu, Dachuan 24 Yao, Jen-Chih 23 Burkard, Rainer E. 23 Fischetti, Matteo 23 Iusem, Alfredo Noel 23 Li, Duan 23 Mahjoub, Ali Ridha 23 Mishra, Shashi Kant 23 Nguyen van Thoai 23 Tijs, Stef 23 Uchoa, Eduardo 23 Wagler, Annegret Katrin 22 Crouzeix, Jean-Pierre 22 Ferland, Jacques A. 22 Han, Deren 22 Li, Donghui 22 Linderoth, Jeff T. 22 Maculan, Nelson F. 22 Murota, Kazuo 22 Rinaldi, Francesco 22 Schmidt, Martin 22 Wei, Zengxin 22 Zalmai, G. J. 21 Balas, Egon 21 Jeyakumar, Vaithilingam 21 Johnson, Ellis L. 21 Júdice, Joaquim João 21 Sen, Suvrajeet 20 Abdi, Ahmad 20 Bertsimas, Dimitris John 20 Boros, Endre 20 de Werra, Dominique 20 Flåm, Sjur Didrik 20 Grötschel, Martin 20 Lê Dung Muu ...and 15,322 more Authors all top 5 Cited in 680 Journals 1,330 European Journal of Operational Research 1,110 Mathematical Programming. Series A. Series B 980 Journal of Optimization Theory and Applications 612 Mathematical Programming 527 Journal of Global Optimization 502 Computers & Operations Research 501 Optimization 449 Discrete Applied Mathematics 436 Operations Research Letters 406 Annals of Operations Research 339 Computational Optimization and Applications 277 Applied Mathematics and Computation 228 Linear Algebra and its Applications 209 Optimization Methods & Software 200 Journal of Computational and Applied Mathematics 191 Optimization Letters 184 Discrete Mathematics 183 SIAM Journal on Optimization 180 Journal of Mathematical Analysis and Applications 141 Computers & Mathematics with Applications 122 Theoretical Computer Science 117 Discrete Optimization 104 INFORMS Journal on Computing 102 Numerical Functional Analysis and Optimization 94 Journal of Combinatorial Optimization 87 Numerical Algorithms 82 Mathematical Programming Computation 79 Networks 78 Automatica 77 Journal of Combinatorial Theory. Series B 71 Optimization and Engineering 66 Applied Mathematics and Optimization 65 Algorithmica 65 Top 64 Mathematics of Operations Research 64 International Transactions in Operational Research 63 Mathematical Methods of Operations Research 60 Operations Research 60 Journal of Information & Optimization Sciences 60 Mathematical and Computer Modelling 60 International Journal of Computer Mathematics 59 Computing 59 Journal of Industrial and Management Optimization 57 Computer Methods in Applied Mechanics and Engineering 57 Numerische Mathematik 55 SIAM Journal on Discrete Mathematics 55 Applied Mathematical Modelling 54 Information Processing Letters 54 ZOR. Zeitschrift für Operations Research 52 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 Journal of Inequalities and Applications 49 RAIRO. Operations Research 48 Mathematical Problems in Engineering 46 International Journal of Systems Science 46 Opsearch 44 Journal of Mathematical Economics 42 OR Spektrum 41 European Journal of Combinatorics 41 Computational Statistics and Data Analysis 40 Information Sciences 40 Games and Economic Behavior 40 Journal of Applied Mathematics and Computing 39 International Journal of Game Theory 39 Kybernetika 39 Asia-Pacific Journal of Operational Research 37 Applied Mathematics Letters 37 Set-Valued and Variational Analysis 36 Fuzzy Sets and Systems 36 Acta Mathematicae Applicatae Sinica. English Series 35 Journal of Computer and System Sciences 35 4OR 34 Journal of Applied Mathematics 33 Combinatorica 32 Zeitschrift für Operations Research. Serie A: Theorie 32 Computational Management Science 30 Bulletin of the Australian Mathematical Society 30 Mathematics of Computation 30 SIAM Journal on Algebraic and Discrete Methods 30 Networks and Spatial Economics 29 Computational and Applied Mathematics 29 EURO Journal on Computational Optimization 28 Applied Numerical Mathematics 28 OR Spectrum 26 Artificial Intelligence 26 Naval Research Logistics 26 Cybernetics 26 Abstract and Applied Analysis 26 CEJOR. Central European Journal of Operations Research 26 Journal of the Operations Research Society of China 25 International Journal of Control 25 BIT 25 Graphs and Combinatorics 24 International Journal of Production Research 24 Cybernetics and Systems Analysis 24 Journal of Machine Learning Research (JMLR) 23 Automation and Remote Control 23 SIAM Journal on Scientific Computing 22 Calcolo 22 Fixed Point Theory and Applications 21 Japan Journal of Industrial and Applied Mathematics ...and 580 more Journals all top 5 Cited in 60 Fields 12,248 Operations research, mathematical programming (90-XX) 3,359 Numerical analysis (65-XX) 2,024 Calculus of variations and optimal control; optimization (49-XX) 1,465 Computer science (68-XX) 1,427 Combinatorics (05-XX) 1,270 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 563 Convex and discrete geometry (52-XX) 413 Statistics (62-XX) 390 Operator theory (47-XX) 316 Linear and multilinear algebra; matrix theory (15-XX) 314 Systems theory; control (93-XX) 264 Real functions (26-XX) 147 Probability theory and stochastic processes (60-XX) 147 Mechanics of deformable solids (74-XX) 135 Information and communication theory, circuits (94-XX) 124 Partial differential equations (35-XX) 122 Biology and other natural sciences (92-XX) 111 Functional analysis (46-XX) 103 General topology (54-XX) 99 Approximations and expansions (41-XX) 70 Global analysis, analysis on manifolds (58-XX) 61 Ordinary differential equations (34-XX) 50 Fluid mechanics (76-XX) 49 Mathematical logic and foundations (03-XX) 49 Algebraic geometry (14-XX) 47 Order, lattices, ordered algebraic structures (06-XX) 43 Number theory (11-XX) 37 Algebraic topology (55-XX) 35 Dynamical systems and ergodic theory (37-XX) 33 Commutative algebra (13-XX) 32 History and biography (01-XX) 27 Geometry (51-XX) 26 Quantum theory (81-XX) 24 Field theory and polynomials (12-XX) 24 Geophysics (86-XX) 23 Mechanics of particles and systems (70-XX) 22 Functions of a complex variable (30-XX) 21 Manifolds and cell complexes (57-XX) 20 Group theory and generalizations (20-XX) 19 Differential geometry (53-XX) 19 Classical thermodynamics, heat transfer (80-XX) 16 Optics, electromagnetic theory (78-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Measure and integration (28-XX) 13 General and overarching topics; collections (00-XX) 12 Difference and functional equations (39-XX) 10 Integral transforms, operational calculus (44-XX) 9 Integral equations (45-XX) 8 Associative rings and algebras (16-XX) 8 Several complex variables and analytic spaces (32-XX) 6 Nonassociative rings and algebras (17-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Mathematics education (97-XX) 3 Special functions (33-XX) 3 Sequences, series, summability (40-XX) 3 Relativity and gravitational theory (83-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) Citations by Year