Edit Profile (opens in new tab) Mangasarian, Olvi L. Co-Author Distance Author ID: mangasarian.olvi-l Published as: Mangasarian, O. L.; Mangasarian, Olvi L.; Mangasarian, O. more...less Homepage: http://pages.cs.wisc.edu/~olvi/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 174 Publications since 1960, including 5 Books 5 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 35 Co-Authors with 89 Joint Publications 925 Co-Co-Authors all top 5 Co-Authors 87 single-authored 11 Fung, Glenn Martin 8 Ferris, Michael C. 6 De Leone, Renato 6 Han, Shih-Ping 5 Bradley, Paul S. 5 Meyer, Robert R. 5 Rosen, J. Ben 5 Thompson, Michael E. 5 Wild, Edward W. 5 Wolberg, William H. 4 Musicant, David R. 4 Schumaker, Larry L. 4 Shiau, Tzong-Huei 3 Bennett, Kristin P. 3 Chen, Chunhui 3 Lee, Yuh-Jye 3 Pang, Jong-Shi 3 Robinson, Stephen M. 3 Solodov, Mikhail V. 3 Street, W. Nick 2 Fromovitz, Stan 2 Shavlik, Jude W. 1 Bhat, U. Narayan 1 Budiansky, Bernard 1 Churchman, C. West 1 Denardo, Eric V. 1 Elmaghraby, Salah E. 1 Fayyad, Usama M. 1 Fishburn, Peter Clingerman 1 Fujiwara, Okitsugu 1 García-Palomares, Ubaldo M. 1 Glover, Fred W. 1 Keeney, Ralph L. 1 Klinger, Allen 1 Lasdon, Leon S. 1 Luo, Zhi-Quan 1 McLinden, Lynn 1 Miser, J. 1 Moder, Joseph J. 1 Peterson, Elmor L. 1 Recht, Benjamin 1 Saaty, Thomas L. 1 Sagan, Hans 1 Setiono, Rudy 1 Smola, Alexander J. 1 Stone, Henry 1 Sutherland, W. R. S. 1 Taha, Hamdy A. 1 Thrall, Robert McDowell 1 Wright, Stephen J. all top 5 Serials 11 Optimization Letters 10 Journal of Optimization Theory and Applications 9 Computational Optimization and Applications 8 Mathematical Programming 7 Mathematical Programming. Series A. Series B 6 Journal of Mathematical Analysis and Applications 6 Journal of Global Optimization 6 Linear Algebra and its Applications 6 SIAM Journal on Optimization 6 Optimization Methods & Software 5 SIAM Journal on Control and Optimization 4 Mathematical Programming Study 4 Operations Research Letters 4 Optimization 4 Journal of Machine Learning Research (JMLR) 3 Mathematics of Operations Research 3 Operations Research 3 Annals of Operations Research 3 Machine Learning 3 SIAM Journal on Control 2 Journal of Applied Mechanics 2 Applied Mathematics and Optimization 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Algebraic and Discrete Methods 2 Proceedings of the National Academy of Sciences of the United States of America 2 INFORMS Journal on Computing 2 Journal of the Society for Industrial & Applied Mathematics. Series A. Control 1 IEEE Transactions on Information Theory 1 International Journal of Engineering Science 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 Cahiers du Centre d’Études de Recherche Opérationnelle 1 Journal of the Operations Research Society of Japan 1 Management Science 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Computers & Operations Research 1 SIAM Journal on Matrix Analysis and Applications 1 ORSA Journal on Computing 1 European Journal of Operational Research 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Advances in Computational Mathematics 1 Communications on Applied Nonlinear Analysis 1 Computational Management Science 1 Journal of the Society for Industrial & Applied Mathematics 1 Naval Research Logistics Quarterly 1 Operations-Research-Verfahren 1 Classics in Applied Mathematics 1 Methods of Operations Research 1 Publications of the Mathematics Research Center, The University of Wisconsin - Madison 1 Applied Optimization 1 Statistical Analysis and Data Mining 1 MPS/SIAM Series on Optimization all top 5 Fields 138 Operations research, mathematical programming (90-XX) 32 Computer science (68-XX) 31 Numerical analysis (65-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Statistics (62-XX) 9 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 172 Publications have been cited 5,422 times in 3,721 Documents Cited by ▼ Year ▼ Nonlinear programming. Zbl 0194.20201 Mangasarian, Olvi L. 593 1969 The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. Zbl 0149.16701 Mangasarian, O. L.; Fromovitz, S. 263 1967 Absolute value equations. Zbl 1172.15302 Mangasarian, O. L.; Meyer, R. R. 171 2006 Solution of symmetric linear complementarity problems by iterative methods. Zbl 0341.65049 Mangasarian, O. L. 169 1977 A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112 Chen, Chunhui; Mangasarian, O. L. 156 1996 A generalized Newton method for absolute value equations. Zbl 1154.90599 Mangasarian, O. L. 141 2009 Exact penalty functions in nonlinear programming. Zbl 0424.90057 Han, S.-P.; Mangasarian, O. L. 139 1979 Pseudo-convex functions. Zbl 0138.15702 Mangasarian, O. L. 137 1965 Absolute value programming. Zbl 1278.90386 Mangasarian, Olvi L. 110 2007 Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108 Mangasarian, Olvi L. 109 1994 A simple characterization of solutions sets of convex programs. Zbl 0653.90055 Mangasarian, O. L. 99 1988 Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124 Chen, Chunhui; Mangasarian, O. L. 99 1995 Absolute value equation solution via concave minimization. Zbl 1149.90098 Mangasarian, O. L. 89 2007 Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117 Mangasarian, O. L.; Solodov, M. V. 87 1993 Sufficient conditions for the optimal control of nonlinear systems. Zbl 0154.10401 Mangasarian, O. L. 85 1966 Lipschitz continuity of solutions of linear inequalities, programs and complementarity problems. Zbl 0613.90066 Mangasarian, O. L.; Shiau, T.-H. 83 1987 Multicategory proximal support vector machine classifiers. Zbl 1101.68758 Fung, Glenn M.; Mangasarian, O. L. 76 2005 Equivalence of the complementarity problem to a system of nonlinear equations. Zbl 0339.90051 Mangasarian, O. L. 73 1976 Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537 Wolberg, William H.; Mangasarian, Olvi L. 70 1990 Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073 Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. 68 1995 Two-person nonzero-sum games and quadratic programming. Zbl 0126.36505 Mangasarian, Olvi L.; Stone, Henry 66 1964 Linear complementarity problems solvable by a single linear program. Zbl 0355.90040 Mangasarian, O. L. 63 1976 SSVM: A smooth support vector machine for classification. Zbl 1017.90105 Lee, Yuh-Jye; Mangasarian, O. L. 62 2001 Linear and nonlinear separation of patterns by linear programming. Zbl 0127.36701 Mangasarian, O. 60 1965 Nonlinear perturbation of linear programs. Zbl 0432.90047 Mangasarian, O. L.; Meyer, R. R. 59 1979 Lagrangian support vector machines. Zbl 0997.68108 Mangasarian, O. L.; Musicant, David R. 54 2001 Arbitrary-norm separating plane. Zbl 1028.90037 Mangasarian, O. L. 53 1999 Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096 Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. 48 1990 Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096 Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. 48 1999 A feature selection Newton method for support vector machine classification. Zbl 1056.90103 Fung, Glenn M.; Mangasarian, O. L. 47 2004 Uniqueness of solution in linear programming. Zbl 0399.90053 Mangasarian, O. L. 46 1979 \(k\)-plane clustering. Zbl 0990.90135 Bradley, P. S.; Mangasarian, O. L. 44 2000 Bilinear separation of two sets in \(n\)-space. Zbl 0795.90060 Bennett, Kristin P.; Mangasarian, O. L. 41 1993 Error bounds for monotone linear complementarity problems. Zbl 0613.90095 Mangasarian, O. L.; Shiau, T.-H. 40 1986 Characterizations of real matrices of monotone kind. Zbl 0179.05102 Mangasarian, O. L. 40 1968 Misclassification minimization. Zbl 0814.90081 Mangasarian, O. L. 38 1994 A finite Newton method for classification. Zbl 1065.90078 Mangasarian, O. L. 38 2002 Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems. Zbl 0442.90089 Mangasarian, O. L. 37 1980 Sufficiency of exact penalty minimization. Zbl 0559.90072 Mangasarian, O. L. 36 1985 Superlinearly convergent quasi-Newton algorithms for nonlinearly constrained optimization problems. Zbl 0362.90103 Garcia Palomares, U. M.; Mangasarian, O. L. 36 1976 A Newton method for linear programming. Zbl 1140.90467 Mangasarian, O. L. 34 2004 Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094 Mangasarian, O. L. 33 1990 A condition number for differentiable convex inequalities. Zbl 0565.90059 Mangasarian, O. L. 33 1985 Massive data discrimination via linear support vector machines. Zbl 0986.90085 Bradley, P. S.; Mangasarian, O. L. 33 2000 New improved error bounds for the linear complementarity problem. Zbl 0829.90124 Mangasarian, O. L.; Ren, J. 32 1994 Multisurface method of pattern separation. Zbl 0169.51108 Mangasarian, O. L. 32 1968 Discrete splines via mathematical programming. Zbl 0223.65004 Mangasarian, O. L.; Schumaker, L. L. 31 1971 Characterization of linear complementarity problems as linear programs. Zbl 0378.90053 Mangasarian, O. L. 30 1978 Set containment characterization. Zbl 1047.90068 Mangasarian, O. L. 30 2002 Sparsity-preserving SOR algorithms for separable quadratic and linear programming. Zbl 0606.90102 Mangasarian, O. L. 28 1984 Feature selection via mathematical programming. Zbl 1034.90529 Bradley, P. S.; Mangasarian, O. L.; Street, W. N. 28 1998 Machine learning via polyhedral concave minimization. Zbl 0906.68127 Mangasarian, O. L. 28 1996 Parallel variable distribution. Zbl 0820.90098 Ferris, M. C.; Mangasarian, O. L. 27 1994 New error bounds for the linear complementarity problem. Zbl 0833.90113 Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V. 27 1994 Equilibrium points of bimatrix games. Zbl 0132.14002 Mangasarian, O. L. 27 1964 Equivalence in nonlinear programming. Zbl 0127.36803 Mangasarian, O. 27 1963 A hybrid algorithm for solving the absolute value equation. Zbl 1332.90215 Mangasarian, Olvi L. 26 2015 Nonlinear fractional programming. Zbl 0257.90043 Mangasarian, O. L. 26 1969 Normal solutions of linear programs. Zbl 0588.90058 Mangasarian, O. L. 25 1984 The extended linear complementarity problem. Zbl 0835.90103 Mangasarian, O. L.; Pang, J. S. 25 1995 Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329 Mangasarian, Olvi L. 25 2006 Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474 Mangasarian, O. L. 22 2009 Iterative solution of linear programs. Zbl 0471.65033 Mangasarian, O. L. 22 1981 Absolute value equation solution via dual complementarity. Zbl 1269.90116 Mangasarian, Olvi L. 22 2013 Best summation formulae and discrete splines. Zbl 0256.65003 Mangasarian, O. L.; Schumaker, L. L. 22 1973 Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs. Zbl 0595.90090 Mangasarian, O. L.; De Leone, R. 21 1987 Minimum principle sufficiency. Zbl 0760.90076 Ferris, M. C.; Mangasarian, O. L. 21 1992 Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111 Mangasarian, O. L. 21 1995 Characterizations of bounded solutions of linear complementarity problems. Zbl 0487.90088 Mangasarian, O. L. 21 1982 Duality in nonlinear programming. Zbl 0113.35703 Mangasarian, O. 21 1963 A condition number for linear inequalities and linear programs. Zbl 0505.90042 Mangasarian, O. L. 19 1981 Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042 Mangasarian, O. L. 19 1999 Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065 Mangasarian, Olvi L. 19 2012 A variable-complexity norm maximization problem. Zbl 0589.68033 Mangasarian, O. L.; Shiau, T.-H. 18 1986 The linear complementarity problem as a separable bilinear program. Zbl 0835.90102 Mangasarian, O. L. 18 1995 Equivalence of minimal \(\ell _{0}\)- and \(\ell _{p }\)-norm solutions of linear equalities, inequalities and linear programs for sufficiently small \(p\). Zbl 1226.90104 Fung, G. M.; Mangasarian, O. L. 18 2011 Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633 Fung, Glenn; Mangasarian, O. L. 18 2001 Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9–12, 1999. Zbl 0966.00043 18 2001 A dual differentiable exact penalty function. Zbl 0495.90070 Han, S.-P.; Mangasarian, O. L. 17 1983 Mathematical programming in neural networks. Zbl 0789.90053 Mangasarian, O. L. 17 1993 Error bounds for strongly convex programs and (super)linearly convergent iterative schemes for the least 2-norm solution of linear programs. Zbl 0645.90062 Mangasarian, O. L.; De Leone, R. 17 1988 Linear complementarity as absolute value equation solution. Zbl 1288.90109 Mangasarian, Olvi L. 17 2014 Absolute value equation solution via linear programming. Zbl 1293.90041 Mangasarian, Olvi L. 17 2014 Multiple instance classification via successive linear programming. Zbl 1216.62098 Mangasarian, O. L.; Wild, E. W. 17 2008 Solution of general linear complementarity problems via nondifferentiable concave minimization. Zbl 0895.90167 Mangasarian, O. L. 17 1997 Unconstrained Lagrangians in nonlinear programming. Zbl 0269.90045 Mangasarian, O. L. 17 1975 Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. Zbl 0777.90070 Mangasarian, O. L. 16 1991 Simplified characterizations of linear complementarity problems solvable as linear programs. Zbl 0443.90106 Mangasarian, O. L. 15 1979 Simple bounds for solutions of monotone complementarity problems and convex programs. Zbl 0567.90093 Mangasarian, O. L.; McLinden, L. 15 1985 Inequalities for stochastic nonlinear programming problems. Zbl 0132.13806 Mangasarian, O. L.; Rosen, J. B. 15 1964 Simple computable bounds for solutions of linear complementarity problems and linear programs. Zbl 0582.90098 Mangasarian, O. L. 14 1985 Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. Zbl 0920.90119 Mangasarian, O. L. 14 1998 Logarithmic convexity and geometric programming. Zbl 0301.90034 Klinger, Allen; Mangasarian, O. L. 14 1968 Probability of unique integer solution to a system of linear equations. Zbl 1218.90112 Mangasarian, O. L.; Recht, Benjamin 14 2011 Generalized linear complementarity problems as linear programs. Zbl 0398.90098 Mangasarian, O. L. 13 1979 Minmax and duality in nonlinear programming. Zbl 0131.18601 Mangasarian, O. L.; Ponstein, J. 13 1965 Serial and parallel solution of large scale linear programs for augmented Lagrangian successive overrelaxation. Zbl 0648.90051 de Leone, R.; Mangasarian, O. L. 12 1988 A stable theorem of the alternative: An extension of the Gordan theorem. Zbl 0488.90044 Mangasarian, O. L. 12 1981 Hybrid misclassification minimization. Zbl 0857.68088 Chen, Chunhui; Mangasarian, O. L. 12 1996 Finite perturbation of convex programs. Zbl 0733.90056 Ferris, M. C.; Mangasarian, O. L. 12 1991 Sufficient conditions for the unsolvability and solvability of the absolute value equation. Zbl 1381.90058 Mangasarian, Olvi L. 6 2017 Unsupervised and semisupervised classification via absolute value inequalities. Zbl 1343.90051 Fung, Glenn M.; Mangasarian, Olvi L. 2 2016 A hybrid algorithm for solving the absolute value equation. Zbl 1332.90215 Mangasarian, Olvi L. 26 2015 Unsupervised classification via convex absolute value inequalities. Zbl 1310.62077 Mangasarian, Olvi L. 4 2015 Linear complementarity as absolute value equation solution. Zbl 1288.90109 Mangasarian, Olvi L. 17 2014 Absolute value equation solution via linear programming. Zbl 1293.90041 Mangasarian, Olvi L. 17 2014 Absolute value equation solution via dual complementarity. Zbl 1269.90116 Mangasarian, Olvi L. 22 2013 Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065 Mangasarian, Olvi L. 19 2012 Privacy-preserving horizontally partitioned linear programs. Zbl 1257.90043 Mangasarian, Olvi L. 5 2012 Equivalence of minimal \(\ell _{0}\)- and \(\ell _{p }\)-norm solutions of linear equalities, inequalities and linear programs for sufficiently small \(p\). Zbl 1226.90104 Fung, G. M.; Mangasarian, O. L. 18 2011 Probability of unique integer solution to a system of linear equations. Zbl 1218.90112 Mangasarian, O. L.; Recht, Benjamin 14 2011 Privacy-preserving linear programming. Zbl 1211.90124 Mangasarian, O. L. 7 2011 Exactness conditions for a convex differentiable exterior penalty for linear programming. Zbl 1211.90125 Mangasarian, O. L.; Wild, E. W. 1 2011 Uniqueness of integer solution of linear equations. Zbl 1202.90196 Mangasarian, O. L.; Ferris, M. C. 2 2010 A generalized Newton method for absolute value equations. Zbl 1154.90599 Mangasarian, O. L. 141 2009 Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474 Mangasarian, O. L. 22 2009 Proximal knowledge-based classification. Zbl 07260196 Mangasarian, O. L.; Wild, E. W.; Fung, G. M. 1 2009 Multiple instance classification via successive linear programming. Zbl 1216.62098 Mangasarian, O. L.; Wild, E. W. 17 2008 Nonlinear knowledge in kernel machines. Zbl 1145.62089 Mangasarian, Olvi L.; Wild, Edward W. 3 2008 Chunking for massive nonlinear kernel classification. Zbl 1165.90568 Mangasarian, O. L.; Thompson, Michael E. 2 2008 Absolute value programming. Zbl 1278.90386 Mangasarian, Olvi L. 110 2007 Absolute value equation solution via concave minimization. Zbl 1149.90098 Mangasarian, O. L. 89 2007 Linear programming with MATLAB. Zbl 1147.90027 Ferris, Michael C.; Mangasarian, Olvi L.; Wright, Stephen J. 9 2007 Absolute value equations. Zbl 1172.15302 Mangasarian, O. L.; Meyer, R. R. 171 2006 Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329 Mangasarian, Olvi L. 25 2006 Nonconvex piecewise-quadratic underestimation for global minimization. Zbl 1099.90044 Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. 7 2006 Massive data classification via unconstrained support vector machines. Zbl 1139.90017 Mangasarian, O. L.; Thompson, Michael E. 5 2006 Convex kernel underestimation of functions with multiple local minima. Zbl 1098.90055 Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. 4 2006 Breast tumor susceptibility to chemotherapy via support vector machines. Zbl 1127.92025 Fung, Glenn; Mangasarian, O. L. 1 2006 Multicategory proximal support vector machine classifiers. Zbl 1101.68758 Fung, Glenn M.; Mangasarian, O. L. 76 2005 Global minimization via piecewise-linear underestimation. Zbl 1098.90072 Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. 11 2005 Support vector machine classification via parameterless robust linear programming. Zbl 1087.90047 Mangasarian, O. L. 3 2005 Multicategory proximal support vector machine classifiers. Zbl 1469.68083 Fung, Glenn M.; Mangasarian, O. L. 1 2005 A feature selection Newton method for support vector machine classification. Zbl 1056.90103 Fung, Glenn M.; Mangasarian, O. L. 47 2004 A Newton method for linear programming. Zbl 1140.90467 Mangasarian, O. L. 34 2004 Knowledge-based linear programming. Zbl 1114.90070 Mangasarian, O. L. 9 2004 Knowledge-based kernel approximation. Zbl 1222.68255 Mangasarian, Olvi L.; Shavlik, Jude W.; Wild, Edward W. 9 2004 Knowledge-based nonlinear kernel classifiers. Zbl 1274.68310 Fung, Glenn M.; Mangasarian, Olvi L.; Shavlik, Jude W. 8 2003 Data mining via support vector machines. Zbl 1089.68599 Mangasarian, O. L. 5 2003 Minimal kernel classifiers. Zbl 1130.68321 Fung, Glenn M.; Mangasarian, Olvi L.; Smola, Alexander J. 4 2003 Survival-time classification of breast cancer patients. Zbl 1038.90543 Lee, Y.-J.; Mangasarian, O. L.; Wolberg, W. H. 4 2003 A finite Newton method for classification. Zbl 1065.90078 Mangasarian, O. L. 38 2002 Set containment characterization. Zbl 1047.90068 Mangasarian, O. L. 30 2002 Large scale kernel regression via linear programming. Zbl 0998.68106 Mangasarian, O. L.; Musicant, David R. 11 2002 Optimization methods in massive data sets. Zbl 1024.68019 Bradley, P. S.; Mangasarian, O. L.; Musicant, D. R. 4 2002 SSVM: A smooth support vector machine for classification. Zbl 1017.90105 Lee, Yuh-Jye; Mangasarian, O. L. 62 2001 Lagrangian support vector machines. Zbl 0997.68108 Mangasarian, O. L.; Musicant, David R. 54 2001 Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633 Fung, Glenn; Mangasarian, O. L. 18 2001 Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9–12, 1999. Zbl 0966.00043 18 2001 Data discrimination via nonlinear generalized support vector machines. Zbl 0983.90046 Mangasarian, O. L.; Musicant, David R. 4 2001 \(k\)-plane clustering. Zbl 0990.90135 Bradley, P. S.; Mangasarian, O. L. 44 2000 Massive data discrimination via linear support vector machines. Zbl 0986.90085 Bradley, P. S.; Mangasarian, O. L. 33 2000 Breast cancer survival and chemotherapy: a support vector machine analysis. Zbl 1133.62362 Lee, Y.-J.; Mangasarian, O. L.; Wolberg, W. H. 7 2000 Arbitrary-norm separating plane. Zbl 1028.90037 Mangasarian, O. L. 53 1999 Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096 Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. 48 1999 Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042 Mangasarian, O. L. 19 1999 A linearly convergent derivative-free descent method for strongly monotone complementarity problems. Zbl 1017.90115 Mangasarian, O. L.; Solodov, M. V. 9 1999 Polyhedral boundary projection. Zbl 1042.90030 Mangasarian, O. L. 3 1999 Regularized linear programs with equilibrium constraints. Zbl 0927.65071 Mangasarian, Olvi L. 1 1999 Feature selection via mathematical programming. Zbl 1034.90529 Bradley, P. S.; Mangasarian, O. L.; Street, W. N. 28 1998 Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. Zbl 0920.90119 Mangasarian, O. L. 14 1998 Improved generalization via tolerant training. Zbl 0905.90187 Street, W. N.; Mangasarian, O. L. 3 1998 Solution of general linear complementarity problems via nondifferentiable concave minimization. Zbl 0895.90167 Mangasarian, O. L. 17 1997 Exact penalty functions for mathematical programs with linear complementarity constraints. Zbl 0888.90134 Mangasarian, O. L.; Pang, J. S. 10 1997 The ill-posed linear complementarity problem. Zbl 0886.90159 Mangasarian, O. L. 5 1997 A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112 Chen, Chunhui; Mangasarian, O. L. 156 1996 Machine learning via polyhedral concave minimization. Zbl 0906.68127 Mangasarian, O. L. 28 1996 Hybrid misclassification minimization. Zbl 0857.68088 Chen, Chunhui; Mangasarian, O. L. 12 1996 Mathematical programming in machine learning. Zbl 1052.90637 Mangasarian, Olvi L. 2 1996 Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124 Chen, Chunhui; Mangasarian, O. L. 99 1995 Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073 Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. 68 1995 The extended linear complementarity problem. Zbl 0835.90103 Mangasarian, O. L.; Pang, J. S. 25 1995 Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111 Mangasarian, O. L. 21 1995 The linear complementarity problem as a separable bilinear program. Zbl 0835.90102 Mangasarian, O. L. 18 1995 Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108 Mangasarian, Olvi L. 109 1994 Misclassification minimization. Zbl 0814.90081 Mangasarian, O. L. 38 1994 New improved error bounds for the linear complementarity problem. Zbl 0829.90124 Mangasarian, O. L.; Ren, J. 32 1994 Parallel variable distribution. Zbl 0820.90098 Ferris, M. C.; Mangasarian, O. L. 27 1994 New error bounds for the linear complementarity problem. Zbl 0833.90113 Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V. 27 1994 New error bounds for the nonlinear complementarity problem. Zbl 0860.90117 Mangasarian, O. L.; Ren, J. 9 1994 Error bounds for inconsistent linear inequalities and programs. Zbl 0814.90082 Mangasarian, O. L. 4 1994 Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117 Mangasarian, O. L.; Solodov, M. V. 87 1993 Bilinear separation of two sets in \(n\)-space. Zbl 0795.90060 Bennett, Kristin P.; Mangasarian, O. L. 41 1993 Mathematical programming in neural networks. Zbl 0789.90053 Mangasarian, O. L. 17 1993 Error bounds and strong upper semicontinuity for monotone affine variational inequalities. Zbl 0794.49008 Ferris, M. C.; Mangasarian, O. L. 11 1993 Minimum principle sufficiency. Zbl 0760.90076 Ferris, M. C.; Mangasarian, O. L. 21 1992 Global error bounds for monotone affine variational inequality problems. Zbl 0794.90072 Mangasarian, O. L. 10 1992 Neural network training via linear programming. Zbl 0814.90072 Bennett, Kristin P.; Mangasarian, O. L. 8 1992 Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. Zbl 0777.90070 Mangasarian, O. L. 16 1991 Finite perturbation of convex programs. Zbl 0733.90056 Ferris, M. C.; Mangasarian, O. L. 12 1991 Parallel constraint distribution. Zbl 0754.90043 Ferris, M. C.; Mangasarian, O. L. 8 1991 Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537 Wolberg, William H.; Mangasarian, Olvi L. 70 1990 Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096 Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. 48 1990 Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094 Mangasarian, O. L. 33 1990 Multi-sweep asynchronous parallel successive overrelaxation for the nonsymmetric linear complementarity problem. Zbl 0816.90124 De Leone, R.; Mangasarian, O. L.; Shiau, T.-H. 4 1990 Least norm solution of nonmonotone linear complementarity problems. Zbl 0989.90547 Mangasarian, O. L. 1 1990 A simple characterization of solutions sets of convex programs. Zbl 0653.90055 Mangasarian, O. L. 99 1988 Error bounds for strongly convex programs and (super)linearly convergent iterative schemes for the least 2-norm solution of linear programs. Zbl 0645.90062 Mangasarian, O. L.; De Leone, R. 17 1988 Serial and parallel solution of large scale linear programs for augmented Lagrangian successive overrelaxation. Zbl 0648.90051 de Leone, R.; Mangasarian, O. L. 12 1988 Parallel gradient projection successive overrelaxation for symmetric linear complementarity problems and linear programs. Zbl 0739.90068 Mangasarian, O. L.; De Leone, R. 11 1988 ...and 72 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,506 Authors 79 Mangasarian, Olvi L. 37 Chen, Jein-Shan 36 Pang, Jong-Shi 35 Antczak, Tadeusz 31 Jeyakumar, Vaithilingam 28 Mishra, Shashi Kant 24 Qi, Liqun 23 Li, Cuixia 23 Wu, Shiliang 22 Ketabchi, Saeed 22 Yang, Xiaoqi 21 Huang, Zheng-Hai 21 Pan, Shaohua 21 Pardalos, Panos M. 19 Fukushima, Masao 19 Martínez, José Mario 19 Tseng, Paul 19 Xiu, Naihua 18 Andreani, Roberto 18 Chandra, Suresh 17 Lee, Gue Myung 17 Moosaei, Hossein 16 Gaudioso, Manlio 16 Noor, Muhammad Aslam 15 Kanzow, Christian 15 Kim, Do Sang 15 Ma, Changfeng 15 Solodov, Mikhail V. 14 Chen, Xiaojun 14 Ferris, Michael C. 14 Yao, Jen-Chih 13 Areias, Pedro M. A. 13 Evtushenko, Yuriĭ Gavrilovich 13 Haeser, Gabriel 13 Ivanov, Vsevolod Ivanov 13 Le Thi, Hoai An 13 Osuna-Gómez, Rafaela 13 Sivakumar, Koratti Chengalrayan 13 Zhang, Liwei 12 Arana-Jiménez, Manuel 12 Astorino, Annabella 12 Bector, C. R. 12 Carrizosa, Emilio 12 De Leone, Renato 12 Du, Shouqiang 12 Goberna, Miguel Angel 12 Lucidi, Stefano 12 Ruiz-Garzón, Gabriel 12 Schaible, Siegfried 11 Luo, Zhi-Quan 11 Rückmann, Jan-Joachim 11 Rufián-Lizana, Antonio 11 Stein, Oliver 11 Sun, Defeng 11 Treanţă, Savin 11 Upadhyay, Balendu Bhooshan 11 Wang, Shouyang 10 Barbagallo, Annamaria 10 Dang, Chuangyin 10 Dempe, Stephan 10 Ferreira, Orizon Pereira 10 Liu, Hongwei 10 López-Cerdá, Marco Antonio 10 Meng, Zhiqing 10 Minchenko, Leonid Ivanovich 10 Nguyen Thi Toan 10 Pang, Liping 10 Pappalardo, Massimo 10 Rinaldi, Francesco 10 Schuverdt, María Laura 10 Shao, Yuanhai 10 Wang, Yiju 10 Ye, Jane J. 9 Al-Khayyal, Faiz A. 9 Craven, Bruce Desmond 9 Fung, Glenn Martin 9 Golikov, Alexander I. 9 Hladík, Milan 9 Li, Guoyin 9 Miao, Xinhe 9 Mond, Bertram 9 Pham Dinh Tao 9 Rabczuk, Timon 9 Schmidt, Martin 9 Wright, Stephen J. 9 Nguyen Dong Yen 9 Zalmai, G. J. 9 Zhang, Jianzhong 8 Burke, James V. 8 Dolgopolik, Maxim Vladimirovich 8 Fang, Shu-Cherng 8 Han, Deren 8 Ibaraki, Toshihide 8 Kaul, R. N. 8 Kostreva, Michael M. 8 Lai, K. K. 8 Nahak, Chandal 8 Nanda, Sudarsan 8 Németh, Sándor Zoltán 8 Pinar, Mustafa Çelebi ...and 4,406 more Authors all top 5 Cited in 425 Serials 353 Journal of Optimization Theory and Applications 183 European Journal of Operational Research 162 Mathematical Programming. Series A. Series B 146 Journal of Mathematical Analysis and Applications 109 Optimization 109 Journal of Global Optimization 109 Linear Algebra and its Applications 91 Computational Optimization and Applications 88 Mathematical Programming 88 Optimization Letters 85 Applied Mathematics and Computation 83 Journal of Computational and Applied Mathematics 64 Optimization Methods & Software 58 Annals of Operations Research 47 SIAM Journal on Optimization 43 Information Sciences 42 Operations Research Letters 38 Computers & Operations Research 37 Pattern Recognition 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Numerical Algorithms 30 Journal of Inequalities and Applications 29 Journal of Applied Mathematics and Computing 28 Neural Networks 26 Opsearch 26 Computational and Applied Mathematics 26 Journal of Industrial and Management Optimization 25 Automatica 24 Computers & Mathematics with Applications 24 Numerical Functional Analysis and Optimization 22 Applied Mathematics and Optimization 22 Machine Learning 21 Applied Mathematics Letters 20 Fuzzy Sets and Systems 19 International Journal of Computer Mathematics 19 Top 18 Discrete Applied Mathematics 17 Journal of Economic Theory 17 Neural Computation 17 Computational Statistics and Data Analysis 17 Mathematical Problems in Engineering 16 Journal of Approximation Theory 16 Journal of Mathematical Economics 16 Zeitschrift für Operations Research. Serie A: Theorie 15 Numerische Mathematik 15 Positivity 15 Soft Computing 15 Mathematical Methods of Operations Research 15 Set-Valued and Variational Analysis 13 Linear and Multilinear Algebra 13 Applied Numerical Mathematics 13 Numerical Algebra, Control and Optimization 12 Computer Methods in Applied Mechanics and Engineering 12 Mathematics of Operations Research 12 Computational Mechanics 12 Mathematical and Computer Modelling 12 Abstract and Applied Analysis 12 Optimization and Engineering 12 Journal of Machine Learning Research (JMLR) 11 INFORMS Journal on Computing 11 Journal of Applied Mathematics 11 Journal of the Operations Research Society of China 10 Optimal Control Applications & Methods 10 Acta Mathematicae Applicatae Sinica. English Series 10 Asia-Pacific Journal of Operational Research 10 4OR 10 Computational Management Science 9 Applicable Analysis 9 Trabajos de Estadistica y de Investigacion Operativa 9 Applied Mathematical Modelling 9 Numerical Linear Algebra with Applications 9 Filomat 8 Calcolo 8 Computing 8 Operations Research 8 Theoretical Computer Science 8 RAIRO. Operations Research 8 AIMS Mathematics 8 Journal of Nonlinear and Variational Analysis 7 Artificial Intelligence 7 International Journal of Game Theory 7 Journal of Multivariate Analysis 7 Journal of Information & Optimization Sciences 7 Systems & Control Letters 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Proceedings of the Steklov Institute of Mathematics 7 SIAM Journal on Imaging Sciences 7 Journal of Function Spaces 6 Mathematics of Computation 6 The Annals of Statistics 6 International Journal for Numerical Methods in Engineering 6 Kybernetika 6 Proceedings of the American Mathematical Society 6 SIAM Journal on Control and Optimization 6 OR Spektrum 6 SIAM Journal on Matrix Analysis and Applications 6 Japan Journal of Industrial and Applied Mathematics 6 Applications of Mathematics 6 Computational Mathematics and Mathematical Physics 6 Communications in Statistics. Simulation and Computation ...and 325 more Serials all top 5 Cited in 54 Fields 2,672 Operations research, mathematical programming (90-XX) 865 Numerical analysis (65-XX) 648 Calculus of variations and optimal control; optimization (49-XX) 420 Computer science (68-XX) 307 Statistics (62-XX) 291 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 177 Linear and multilinear algebra; matrix theory (15-XX) 145 Real functions (26-XX) 120 Systems theory; control (93-XX) 69 Mechanics of deformable solids (74-XX) 66 Operator theory (47-XX) 57 Approximations and expansions (41-XX) 51 Convex and discrete geometry (52-XX) 51 Biology and other natural sciences (92-XX) 40 Functional analysis (46-XX) 37 Information and communication theory, circuits (94-XX) 34 Ordinary differential equations (34-XX) 34 Probability theory and stochastic processes (60-XX) 16 Combinatorics (05-XX) 16 Partial differential equations (35-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 General topology (54-XX) 9 Differential geometry (53-XX) 8 History and biography (01-XX) 8 Algebraic geometry (14-XX) 8 Mechanics of particles and systems (70-XX) 7 Mathematical logic and foundations (03-XX) 7 Number theory (11-XX) 7 Integral equations (45-XX) 7 Manifolds and cell complexes (57-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Functions of a complex variable (30-XX) 6 Quantum theory (81-XX) 5 Fluid mechanics (76-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Optics, electromagnetic theory (78-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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