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 863 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) 31 Numerical analysis (65-XX) 31 Computer science (68-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 169 Publications have been cited 4,951 times in 3,376 Documents Cited by ▼ Year ▼ Nonlinear programming. Zbl 0194.20201Mangasarian, Olvi L. 495 1969 The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. Zbl 0149.16701Mangasarian, O. L.; Fromovitz, S. 248 1967 Solution of symmetric linear complementarity problems by iterative methods. Zbl 0341.65049Mangasarian, O. L. 160 1977 A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112Chen, Chunhui; Mangasarian, O. L. 146 1996 Absolute value equations. Zbl 1172.15302Mangasarian, O. L.; Meyer, R. R. 141 2006 Pseudo-convex functions. Zbl 0138.15702Mangasarian, O. L. 128 1965 Exact penalty functions in nonlinear programming. Zbl 0424.90057Han, S.-P.; Mangasarian, O. L. 127 1979 A generalized Newton method for absolute value equations. Zbl 1154.90599Mangasarian, O. L. 117 2009 Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124Chen, Chunhui; Mangasarian, O. L. 94 1995 A simple characterization of solutions sets of convex programs. Zbl 0653.90055Mangasarian, O. L. 94 1988 Absolute value programming. Zbl 1278.90386Mangasarian, Olvi L. 92 2007 Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117Mangasarian, O. L.; Solodov, M. V. 86 1993 Absolute value equation solution via concave minimization. Zbl 1149.90098Mangasarian, O. L. 80 2007 Lipschitz continuity of solutions of linear inequalities, programs and complementarity problems. Zbl 0613.90066Mangasarian, O. L.; Shiau, T.-H. 79 1987 Sufficient conditions for the optimal control of nonlinear systems. Zbl 0154.10401Mangasarian, O. L. 78 1966 Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108Mangasarian, Olvi L. 78 1994 Multicategory proximal support vector machine classifiers. Zbl 1101.68758Fung, Glenn M.; Mangasarian, O. L. 75 2005 Equivalence of the complementarity problem to a system of nonlinear equations. Zbl 0339.90051Mangasarian, O. L. 71 1976 Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537Wolberg, William H.; Mangasarian, Olvi L. 65 1990 Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. 63 1995 Two-person nonzero-sum games and quadratic programming. Zbl 0126.36505Mangasarian, Olvi L.; Stone, Henry 61 1964 Linear complementarity problems solvable by a single linear program. Zbl 0355.90040Mangasarian, O. L. 60 1976 SSVM: A smooth support vector machine for classification. Zbl 1017.90105Lee, Yuh-Jye; Mangasarian, O. L. 58 2001 Nonlinear perturbation of linear programs. Zbl 0432.90047Mangasarian, O. L.; Meyer, R. R. 58 1979 Linear and nonlinear separation of patterns by linear programming. Zbl 0127.36701Mangasarian, O. 58 1965 Arbitrary-norm separating plane. Zbl 1028.90037Mangasarian, O. L. 50 1999 Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. 47 1999 A feature selection Newton method for support vector machine classification. Zbl 1056.90103Fung, Glenn M.; Mangasarian, O. L. 46 2004 Lagrangian support vector machines. Zbl 0997.68108Mangasarian, O. L.; Musicant, David R. 44 2001 Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. 44 1990 Uniqueness of solution in linear programming. Zbl 0399.90053Mangasarian, O. L. 43 1979 \(k\)-plane clustering. Zbl 0990.90135Bradley, P. S.; Mangasarian, O. L. 42 2000 A finite Newton method for classification. Zbl 1065.90078Mangasarian, O. L. 38 2002 Characterizations of real matrices of monotone kind. Zbl 0179.05102Mangasarian, O. L. 38 1968 Error bounds for monotone linear complementarity problems. Zbl 0613.90095Mangasarian, O. L.; Shiau, T.-H. 38 1986 Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems. Zbl 0442.90089Mangasarian, O. L. 37 1980 Misclassification minimization. Zbl 0814.90081Mangasarian, O. L. 36 1994 Superlinearly convergent quasi-Newton algorithms for nonlinearly constrained optimization problems. Zbl 0362.90103Garcia Palomares, U. M.; Mangasarian, O. L. 35 1976 Bilinear separation of two sets in \(n\)-space. Zbl 0795.90060Bennett, Kristin P.; Mangasarian, O. L. 35 1993 A condition number for differentiable convex inequalities. Zbl 0565.90059Mangasarian, O. L. 33 1985 Massive data discrimination via linear support vector machines. Zbl 0986.90085Bradley, P. S.; Mangasarian, O. L. 32 2000 Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094Mangasarian, O. L. 32 1990 A Newton method for linear programming. Zbl 1140.90467Mangasarian, O. L. 30 2004 Characterization of linear complementarity problems as linear programs. Zbl 0378.90053Mangasarian, O. L. 30 1978 Multisurface method of pattern separation. Zbl 0169.51108Mangasarian, O. L. 30 1968 Sufficiency of exact penalty minimization. Zbl 0559.90072Mangasarian, O. L. 30 1985 Set containment characterization. Zbl 1047.90068Mangasarian, O. L. 29 2002 Discrete splines via mathematical programming. Zbl 0223.65004Mangasarian, O. L.; Schumaker, L. L. 29 1971 Sparsity-preserving SOR algorithms for separable quadratic and linear programming. Zbl 0606.90102Mangasarian, O. L. 28 1984 New improved error bounds for the linear complementarity problem. Zbl 0829.90124Mangasarian, O. L.; Ren, J. 28 1994 Equivalence in nonlinear programming. Zbl 0127.36803Mangasarian, O. 27 1963 Parallel variable distribution. Zbl 0820.90098Ferris, M. C.; Mangasarian, O. L. 27 1994 Machine learning via polyhedral concave minimization. Zbl 0906.68127Mangasarian, O. L. 26 1996 New error bounds for the linear complementarity problem. Zbl 0833.90113Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V. 26 1994 Feature selection via mathematical programming. Zbl 1034.90529Bradley, P. S.; Mangasarian, O. L.; Street, W. N. 24 1998 Nonlinear fractional programming. Zbl 0257.90043Mangasarian, O. L. 24 1969 Equilibrium points of bimatrix games. Zbl 0132.14002Mangasarian, O. L. 24 1964 Normal solutions of linear programs. Zbl 0588.90058Mangasarian, O. L. 24 1984 The extended linear complementarity problem. Zbl 0835.90103Mangasarian, O. L.; Pang, J. S. 23 1995 Minimum principle sufficiency. Zbl 0760.90076Ferris, M. C.; Mangasarian, O. L. 21 1992 Iterative solution of linear programs. Zbl 0471.65033Mangasarian, O. L. 21 1981 Characterizations of bounded solutions of linear complementarity problems. Zbl 0487.90088Mangasarian, O. L. 21 1982 Best summation formulae and discrete splines. Zbl 0256.65003Mangasarian, O. L.; Schumaker, L. L. 21 1973 Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329Mangasarian, Olvi L. 21 2006 Duality in nonlinear programming. Zbl 0113.35703Mangasarian, O. 21 1963 Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs. Zbl 0595.90090Mangasarian, O. L.; De Leone, R. 21 1987 Absolute value equation solution via dual complementarity. Zbl 1269.90116Mangasarian, Olvi L. 21 2013 Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474Mangasarian, O. L. 20 2009 Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111Mangasarian, O. L. 20 1995 A condition number for linear inequalities and linear programs. Zbl 0505.90042Mangasarian, O. L. 18 1981 Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065Mangasarian, Olvi L. 18 2012 Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633Fung, Glenn; Mangasarian, O. L. 18 2001 The linear complementarity problem as a separable bilinear program. Zbl 0835.90102Mangasarian, O. L. 18 1995 Absolute value equation solution via linear programming. Zbl 1293.90041Mangasarian, Olvi L. 17 2014 A hybrid algorithm for solving the absolute value equation. Zbl 1332.90215Mangasarian, Olvi L. 17 2015 Unconstrained Lagrangians in nonlinear programming. Zbl 0269.90045Mangasarian, O. L. 17 1975 Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042Mangasarian, O. L. 17 1999 A variable-complexity norm maximization problem. Zbl 0589.68033Mangasarian, O. L.; Shiau, T.-H. 17 1986 A dual differentiable exact penalty function. Zbl 0495.90070Han, S.-P.; Mangasarian, O. L. 16 1983 Mathematical programming in neural networks. Zbl 0789.90053Mangasarian, O. L. 16 1993 Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. Zbl 0777.90070Mangasarian, O. L. 16 1991 Solution of general linear complementarity problems via nondifferentiable concave minimization. Zbl 0895.90167Mangasarian, O. L. 16 1997 Error bounds for strongly convex programs and (super)linearly convergent iterative schemes for the least 2-norm solution of linear programs. Zbl 0645.90062Mangasarian, O. L.; De Leone, R. 16 1988 Multiple instance classification via successive linear programming. Zbl 1216.62098Mangasarian, O. L.; Wild, E. W. 15 2008 Simplified characterizations of linear complementarity problems solvable as linear programs. Zbl 0443.90106Mangasarian, O. L. 15 1979 Simple bounds for solutions of monotone complementarity problems and convex programs. Zbl 0567.90093Mangasarian, O. L.; McLinden, L. 15 1985 Linear complementarity as absolute value equation solution. Zbl 1288.90109Mangasarian, Olvi L. 15 2014 Probability of unique integer solution to a system of linear equations. Zbl 1218.90112Mangasarian, O. L.; Recht, Benjamin 14 2011 Inequalities for stochastic nonlinear programming problems. Zbl 0132.13806Mangasarian, O. L.; Rosen, J. B. 14 1964 Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. Zbl 0920.90119Mangasarian, O. L. 14 1998 Simple computable bounds for solutions of linear complementarity problems and linear programs. Zbl 0582.90098Mangasarian, O. L. 14 1985 Generalized linear complementarity problems as linear programs. Zbl 0398.90098Mangasarian, O. L. 13 1979 Minmax and duality in nonlinear programming. Zbl 0131.18601Mangasarian, O. L.; Ponstein, J. 13 1965 Hybrid misclassification minimization. Zbl 0857.68088Chen, Chunhui; Mangasarian, O. L. 12 1996 A stable theorem of the alternative: An extension of the Gordan theorem. Zbl 0488.90044Mangasarian, O. L. 12 1981 Logarithmic convexity and geometric programming. Zbl 0301.90034Klinger, Allen; Mangasarian, O. L. 12 1968 A convergent splitting of matrices. Zbl 0185.40104Mangasarian, O. L. 12 1970 Serial and parallel solution of large scale linear programs for augmented Lagrangian successive overrelaxation. Zbl 0648.90051de Leone, R.; Mangasarian, O. L. 12 1988 Error bounds and strong upper semicontinuity for monotone affine variational inequalities. Zbl 0794.49008Ferris, M. C.; Mangasarian, O. L. 11 1993 Parallel gradient projection successive overrelaxation for symmetric linear complementarity problems and linear programs. Zbl 0739.90068Mangasarian, O. L.; De Leone, R. 11 1988 Sufficient conditions for the unsolvability and solvability of the absolute value equation. Zbl 1381.90058Mangasarian, Olvi L. 5 2017 Unsupervised and semisupervised classification via absolute value inequalities. Zbl 1343.90051Fung, Glenn M.; Mangasarian, Olvi L. 1 2016 A hybrid algorithm for solving the absolute value equation. Zbl 1332.90215Mangasarian, Olvi L. 17 2015 Unsupervised classification via convex absolute value inequalities. Zbl 1310.62077Mangasarian, Olvi L. 4 2015 Absolute value equation solution via linear programming. Zbl 1293.90041Mangasarian, Olvi L. 17 2014 Linear complementarity as absolute value equation solution. Zbl 1288.90109Mangasarian, Olvi L. 15 2014 Absolute value equation solution via dual complementarity. Zbl 1269.90116Mangasarian, Olvi L. 21 2013 Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065Mangasarian, Olvi L. 18 2012 Privacy-preserving horizontally partitioned linear programs. Zbl 1257.90043Mangasarian, Olvi L. 4 2012 Probability of unique integer solution to a system of linear equations. Zbl 1218.90112Mangasarian, O. L.; Recht, Benjamin 14 2011 Equivalence of minimal \(\ell _{0}\)- and \(\ell _{p }\)-norm solutions of linear equalities, inequalities and linear programs for sufficiently small \(p\). Zbl 1226.90104Fung, G. M.; Mangasarian, O. L. 11 2011 Privacy-preserving linear programming. Zbl 1211.90124Mangasarian, O. L. 6 2011 Uniqueness of integer solution of linear equations. Zbl 1202.90196Mangasarian, O. L.; Ferris, M. C. 2 2010 A generalized Newton method for absolute value equations. Zbl 1154.90599Mangasarian, O. L. 117 2009 Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474Mangasarian, O. L. 20 2009 Proximal knowledge-based classification. Zbl 07260196Mangasarian, O. L.; Wild, E. W.; Fung, G. M. 1 2009 Multiple instance classification via successive linear programming. Zbl 1216.62098Mangasarian, O. L.; Wild, E. W. 15 2008 Nonlinear knowledge in kernel machines. Zbl 1145.62089Mangasarian, Olvi L.; Wild, Edward W. 3 2008 Chunking for massive nonlinear kernel classification. Zbl 1165.90568Mangasarian, O. L.; Thompson, Michael E. 2 2008 Absolute value programming. Zbl 1278.90386Mangasarian, Olvi L. 92 2007 Absolute value equation solution via concave minimization. Zbl 1149.90098Mangasarian, O. L. 80 2007 Linear programming with MATLAB. Zbl 1147.90027Ferris, Michael C.; Mangasarian, Olvi L.; Wright, Stephen J. 4 2007 Absolute value equations. Zbl 1172.15302Mangasarian, O. L.; Meyer, R. R. 141 2006 Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329Mangasarian, Olvi L. 21 2006 Nonconvex piecewise-quadratic underestimation for global minimization. Zbl 1099.90044Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. 7 2006 Massive data classification via unconstrained support vector machines. Zbl 1139.90017Mangasarian, O. L.; Thompson, Michael E. 5 2006 Convex kernel underestimation of functions with multiple local minima. Zbl 1098.90055Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. 4 2006 Breast tumor susceptibility to chemotherapy via support vector machines. Zbl 1127.92025Fung, Glenn; Mangasarian, O. L. 1 2006 Multicategory proximal support vector machine classifiers. Zbl 1101.68758Fung, Glenn M.; Mangasarian, O. L. 75 2005 Global minimization via piecewise-linear underestimation. Zbl 1098.90072Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. 10 2005 Support vector machine classification via parameterless robust linear programming. Zbl 1087.90047Mangasarian, O. L. 3 2005 Multicategory proximal support vector machine classifiers. Zbl 1469.68083Fung, Glenn M.; Mangasarian, O. L. 1 2005 A feature selection Newton method for support vector machine classification. Zbl 1056.90103Fung, Glenn M.; Mangasarian, O. L. 46 2004 A Newton method for linear programming. Zbl 1140.90467Mangasarian, O. L. 30 2004 Knowledge-based linear programming. Zbl 1114.90070Mangasarian, O. L. 8 2004 Knowledge-based kernel approximation. Zbl 1222.68255Mangasarian, Olvi L.; Shavlik, Jude W.; Wild, Edward W. 8 2004 Knowledge-based nonlinear kernel classifiers. Zbl 1274.68310Fung, Glenn M.; Mangasarian, Olvi L.; Shavlik, Jude W. 7 2003 Data mining via support vector machines. Zbl 1089.68599Mangasarian, O. L. 5 2003 Survival-time classification of breast cancer patients. Zbl 1038.90543Lee, Y.-J.; Mangasarian, O. L.; Wolberg, W. H. 4 2003 Minimal kernel classifiers. Zbl 1130.68321Fung, Glenn M.; Mangasarian, Olvi L.; Smola, Alexander J. 3 2003 A finite Newton method for classification. Zbl 1065.90078Mangasarian, O. L. 38 2002 Set containment characterization. Zbl 1047.90068Mangasarian, O. L. 29 2002 Large scale kernel regression via linear programming. Zbl 0998.68106Mangasarian, O. L.; Musicant, David R. 10 2002 Optimization methods in massive data sets. Zbl 1024.68019Bradley, P. S.; Mangasarian, O. L.; Musicant, D. R. 4 2002 SSVM: A smooth support vector machine for classification. Zbl 1017.90105Lee, Yuh-Jye; Mangasarian, O. L. 58 2001 Lagrangian support vector machines. Zbl 0997.68108Mangasarian, O. L.; Musicant, David R. 44 2001 Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633Fung, 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 11 2001 Data discrimination via nonlinear generalized support vector machines. Zbl 0983.90046Mangasarian, O. L.; Musicant, David R. 4 2001 \(k\)-plane clustering. Zbl 0990.90135Bradley, P. S.; Mangasarian, O. L. 42 2000 Massive data discrimination via linear support vector machines. Zbl 0986.90085Bradley, P. S.; Mangasarian, O. L. 32 2000 Breast cancer survival and chemotherapy: a support vector machine analysis. Zbl 1133.62362Lee, Y.-J.; Mangasarian, O. L.; Wolberg, W. H. 7 2000 Arbitrary-norm separating plane. Zbl 1028.90037Mangasarian, O. L. 50 1999 Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. 47 1999 Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042Mangasarian, O. L. 17 1999 A linearly convergent derivative-free descent method for strongly monotone complementarity problems. Zbl 1017.90115Mangasarian, O. L.; Solodov, M. V. 8 1999 Polyhedral boundary projection. Zbl 1042.90030Mangasarian, O. L. 3 1999 Regularized linear programs with equilibrium constraints. Zbl 0927.65071Mangasarian, Olvi L. 1 1999 Feature selection via mathematical programming. Zbl 1034.90529Bradley, P. S.; Mangasarian, O. L.; Street, W. N. 24 1998 Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. Zbl 0920.90119Mangasarian, O. L. 14 1998 Improved generalization via tolerant training. Zbl 0905.90187Street, W. N.; Mangasarian, O. L. 3 1998 Solution of general linear complementarity problems via nondifferentiable concave minimization. Zbl 0895.90167Mangasarian, O. L. 16 1997 Exact penalty functions for mathematical programs with linear complementarity constraints. Zbl 0888.90134Mangasarian, O. L.; Pang, J. S. 9 1997 The ill-posed linear complementarity problem. Zbl 0886.90159Mangasarian, O. L. 2 1997 A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112Chen, Chunhui; Mangasarian, O. L. 146 1996 Machine learning via polyhedral concave minimization. Zbl 0906.68127Mangasarian, O. L. 26 1996 Hybrid misclassification minimization. Zbl 0857.68088Chen, Chunhui; Mangasarian, O. L. 12 1996 Mathematical programming in machine learning. Zbl 1052.90637Mangasarian, Olvi L. 2 1996 Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124Chen, Chunhui; Mangasarian, O. L. 94 1995 Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. 63 1995 The extended linear complementarity problem. Zbl 0835.90103Mangasarian, O. L.; Pang, J. S. 23 1995 Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111Mangasarian, O. L. 20 1995 The linear complementarity problem as a separable bilinear program. Zbl 0835.90102Mangasarian, O. L. 18 1995 Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108Mangasarian, Olvi L. 78 1994 Misclassification minimization. Zbl 0814.90081Mangasarian, O. L. 36 1994 New improved error bounds for the linear complementarity problem. Zbl 0829.90124Mangasarian, O. L.; Ren, J. 28 1994 Parallel variable distribution. Zbl 0820.90098Ferris, M. C.; Mangasarian, O. L. 27 1994 New error bounds for the linear complementarity problem. Zbl 0833.90113Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V. 26 1994 New error bounds for the nonlinear complementarity problem. Zbl 0860.90117Mangasarian, O. L.; Ren, J. 9 1994 Error bounds for inconsistent linear inequalities and programs. Zbl 0814.90082Mangasarian, O. L. 4 1994 Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117Mangasarian, O. L.; Solodov, M. V. 86 1993 Bilinear separation of two sets in \(n\)-space. Zbl 0795.90060Bennett, Kristin P.; Mangasarian, O. L. 35 1993 Mathematical programming in neural networks. Zbl 0789.90053Mangasarian, O. L. 16 1993 Error bounds and strong upper semicontinuity for monotone affine variational inequalities. Zbl 0794.49008Ferris, M. C.; Mangasarian, O. L. 11 1993 Minimum principle sufficiency. Zbl 0760.90076Ferris, M. C.; Mangasarian, O. L. 21 1992 Global error bounds for monotone affine variational inequality problems. Zbl 0794.90072Mangasarian, O. L. 9 1992 Neural network training via linear programming. Zbl 0814.90072Bennett, Kristin P.; Mangasarian, O. L. 8 1992 Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. Zbl 0777.90070Mangasarian, O. L. 16 1991 Parallel constraint distribution. Zbl 0754.90043Ferris, M. C.; Mangasarian, O. L. 8 1991 Finite perturbation of convex programs. Zbl 0733.90056Ferris, M. C.; Mangasarian, O. L. 8 1991 Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537Wolberg, William H.; Mangasarian, Olvi L. 65 1990 Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. 44 1990 Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094Mangasarian, O. L. 32 1990 Multi-sweep asynchronous parallel successive overrelaxation for the nonsymmetric linear complementarity problem. Zbl 0816.90124De Leone, R.; Mangasarian, O. L.; Shiau, T.-H. 4 1990 Least norm solution of nonmonotone linear complementarity problems. Zbl 0989.90547Mangasarian, O. L. 1 1990 A simple characterization of solutions sets of convex programs. Zbl 0653.90055Mangasarian, O. L. 94 1988 Error bounds for strongly convex programs and (super)linearly convergent iterative schemes for the least 2-norm solution of linear programs. Zbl 0645.90062Mangasarian, O. L.; De Leone, R. 16 1988 Serial and parallel solution of large scale linear programs for augmented Lagrangian successive overrelaxation. Zbl 0648.90051de Leone, R.; Mangasarian, O. L. 12 1988 Parallel gradient projection successive overrelaxation for symmetric linear complementarity problems and linear programs. Zbl 0739.90068Mangasarian, O. L.; De Leone, R. 11 1988 Asynchronous parallel successive overrelaxation for the symmetric linear complementarity problem. Zbl 0665.90090De Leone, R.; Mangasarian, O. L. 11 1988 ...and 69 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,053 Authors 79 Mangasarian, Olvi L. 34 Chen, Jein-Shan 33 Pang, Jong-Shi 29 Jeyakumar, Vaithilingam 28 Antczak, Tadeusz 24 Qi, Liqun 22 Li, Cuixia 22 Yang, Xiaoqi 21 Pardalos, Panos M. 21 Wu, Shiliang 20 Mishra, Shashi Kant 19 Fukushima, Masao 19 Ketabchi, Saeed 19 Tseng, Paul 18 Andreani, Roberto 18 Huang, Zheng-Hai 18 Martínez, José Mario 18 Xiu, Naihua 17 Pan, Shaohua 16 Lee, Gue Myung 16 Noor, Muhammad Aslam 15 Chandra, Suresh 15 Kanzow, Christian 15 Ma, Changfeng 15 Moosaei, Hossein 14 Ferris, Michael C. 14 Solodov, Mikhail V. 13 Areias, Pedro M. A. 13 Chen, Xiaojun 13 Gaudioso, Manlio 13 Ivanov, Vsevolod Ivanov 13 Osuna-Gómez, Rafaela 13 Sivakumar, Koratti Chengalrayan 13 Zhang, Liwei 12 Arana-Jiménez, Manuel 12 Carrizosa, Emilio 12 De Leone, Renato 12 Kim, Do Sang 12 Le Thi, Hoai An 12 Lucidi, Stefano 12 Schaible, Siegfried 12 Yao, Jen-Chih 11 Bector, C. R. 11 Evtushenko, Yuriĭ Gavrilovich 11 Goberna, Miguel Angel 11 Luo, Zhi-Quan 11 Rückmann, Jan-Joachim 11 Rufián-Lizana, Antonio 11 Ruiz-Garzón, Gabriel 11 Stein, Oliver 11 Wang, Shouyang 11 Wang, Yiju 10 Astorino, Annabella 10 Dang, Chuangyin 10 Dempe, Stephan 10 Du, Shouqiang 10 Haeser, Gabriel 10 Meng, Zhiqing 10 Pappalardo, Massimo 10 Rinaldi, Francesco 10 Sun, Defeng 10 Ye, Jane J. 9 Al-Khayyal, Faiz A. 9 Barbagallo, Annamaria 9 Craven, Bruce Desmond 9 Golikov, Alexander I. 9 Liu, Hongwei 9 López-Cerdá, Marco Antonio 9 Miao, Xinhe 9 Minchenko, Leonid I. 9 Mond, Bertram 9 Nguyen Thi Toan 9 Pang, Liping 9 Pham Dinh Tao 9 Rabczuk, Timon 9 Schuverdt, María Laura 9 Shao, Yuanhai 9 Zalmai, G. J. 9 Zhang, Jianzhong 8 Burke, James V. 8 Fang, Shu-Cherng 8 Ferreira, Orizon Pereira 8 Fung, Glenn Martin 8 Ibaraki, Toshihide 8 Kaul, R. N. 8 Kostreva, Michael M. 8 Li, Guoyin 8 Németh, Sándor Zoltán 8 Khemchandani Rastogi, Reshma 8 Shen, Rui 8 Steidl, Gabriele 8 Treanţă, Savin 8 Wang, Song 8 Watson, Layne Terry 8 Yang, Xinmin 8 Nguyen Dong Yen 7 Bagirov, Adil M. 7 Bai, Yanqin 7 Bazaraa, Mokhtar S. 7 Birgin, Ernesto G. ...and 3,953 more Authors all top 5 Cited in 389 Serials 339 Journal of Optimization Theory and Applications 175 European Journal of Operational Research 152 Mathematical Programming. Series A. 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Zeitschrift für Operations Research 6 Set-Valued Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Advances in Data Analysis and Classification. ADAC 6 Mathematical Programming Computation 6 Journal of Function Spaces 5 International Journal of Game Theory 5 Bulletin of the Iranian Mathematical Society 5 Journal of Classification 5 Numerical Linear Algebra with Applications 5 Economic Theory 5 Data Mining and Knowledge Discovery ...and 289 more Serials all top 5 Cited in 53 Fields 2,438 Operations research, mathematical programming (90-XX) 791 Numerical analysis (65-XX) 595 Calculus of variations and optimal control; optimization (49-XX) 386 Computer science (68-XX) 271 Statistics (62-XX) 264 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 159 Linear and multilinear algebra; matrix theory (15-XX) 131 Real functions (26-XX) 100 Systems theory; control (93-XX) 60 Operator theory (47-XX) 59 Mechanics of deformable solids (74-XX) 53 Approximations and expansions (41-XX) 48 Convex and discrete geometry (52-XX) 46 Biology and other natural sciences (92-XX) 39 Functional analysis (46-XX) 35 Information and communication theory, circuits (94-XX) 33 Probability theory and stochastic processes (60-XX) 29 Ordinary differential equations (34-XX) 14 Combinatorics (05-XX) 14 Partial differential equations (35-XX) 13 General topology (54-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Differential geometry (53-XX) 7 History and biography (01-XX) 7 Mathematical logic and foundations (03-XX) 7 Number theory (11-XX) 7 Algebraic geometry (14-XX) 7 Integral equations (45-XX) 7 Manifolds and cell complexes (57-XX) 7 Mechanics of particles and systems (70-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Functions of a complex variable (30-XX) 5 Quantum theory (81-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 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-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 Statistical mechanics, structure of matter (82-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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