Edit Profile (opens in new tab) Mangasarian, Olvi L. Compute Distance To: Compute 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: 34 Co-Authors with 89 Joint Publications 733 Co-Co-Authors all top 5 Co-Authors 87 single-authored 11 Fung, Glenn M. 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 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 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 167 Publications have been cited 4,623 times in 3,166 Documents Cited by ▼ Year ▼ Nonlinear programming. Zbl 0194.20201Mangasarian, Olvi L. 483 1969 The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. Zbl 0149.16701Mangasarian, O. L.; Fromovitz, S. 233 1967 Solution of symmetric linear complementarity problems by iterative methods. Zbl 0341.65049Mangasarian, O. L. 152 1977 A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112Chen, Chunhui; Mangasarian, O. L. 137 1996 Pseudo-convex functions. Zbl 0138.15702Mangasarian, O. L. 121 1965 Exact penalty functions in nonlinear programming. Zbl 0424.90057Han, S.-P.; Mangasarian, O. L. 120 1979 Absolute value equations. Zbl 1172.15302Mangasarian, O. L.; Meyer, R. R. 120 2006 A generalized Newton method for absolute value equations. Zbl 1154.90599Mangasarian, O. L. 103 2009 Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124Chen, Chunhui; Mangasarian, O. L. 89 1995 A simple characterization of solutions sets of convex programs. Zbl 0653.90055Mangasarian, O. L. 86 1988 Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117Mangasarian, O. L.; Solodov, M. V. 85 1993 Absolute value programming. Zbl 1278.90386Mangasarian, Olvi L. 84 2007 Lipschitz continuity of solutions of linear inequalities, programs and complementarity problems. Zbl 0613.90066Mangasarian, O. L.; Shiau, T.-H. 75 1987 Absolute value equation solution via concave minimization. Zbl 1149.90098Mangasarian, O. L. 75 2007 Sufficient conditions for the optimal control of nonlinear systems. Zbl 0154.10401Mangasarian, O. L. 73 1966 Equivalence of the complementarity problem to a system of nonlinear equations. Zbl 0339.90051Mangasarian, O. L. 71 1976 Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108Mangasarian, Olvi L. 60 1994 Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537Wolberg, William H.; Mangasarian, Olvi L. 60 1990 Multicategory proximal support vector machine classifiers. Zbl 1101.68758Fung, Glenn M.; Mangasarian, O. L. 60 2005 Linear complementarity problems solvable by a single linear program. Zbl 0355.90040Mangasarian, O. L. 58 1976 Two-person nonzero-sum games and quadratic programming. Zbl 0126.36505Mangasarian, Olvi L.; Stone, Henry 56 1964 Linear and nonlinear separation of patterns by linear programming. Zbl 0127.36701Mangasarian, O. 56 1965 Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. 54 1995 Nonlinear perturbation of linear programs. Zbl 0432.90047Mangasarian, O. L.; Meyer, R. R. 54 1979 SSVM: A smooth support vector machine for classification. Zbl 1017.90105Lee, Yuh-Jye; Mangasarian, O. L. 50 2001 Arbitrary-norm separating plane. Zbl 1028.90037Mangasarian, O. L. 47 1999 Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. 44 1999 A feature selection Newton method for support vector machine classification. Zbl 1056.90103Fung, Glenn M.; Mangasarian, O. L. 42 2004 Uniqueness of solution in linear programming. Zbl 0399.90053Mangasarian, O. L. 41 1979 Lagrangian support vector machines. Zbl 0997.68108Mangasarian, O. L.; Musicant, David R. 38 2001 \(k\)-plane clustering. Zbl 0990.90135Bradley, P. S.; Mangasarian, O. L. 37 2000 Error bounds for monotone linear complementarity problems. Zbl 0613.90095Mangasarian, O. L.; Shiau, T.-H. 37 1986 Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems. Zbl 0442.90089Mangasarian, O. L. 37 1980 A finite Newton method for classification. Zbl 1065.90078Mangasarian, O. L. 36 2002 Characterizations of real matrices of monotone kind. Zbl 0179.05102Mangasarian, O. L. 36 1968 Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. 36 1990 Superlinearly convergent quasi-Newton algorithms for nonlinearly constrained optimization problems. Zbl 0362.90103Garcia Palomares, U. M.; Mangasarian, O. L. 35 1976 Massive data discrimination via linear support vector machines. Zbl 0986.90085Bradley, P. S.; Mangasarian, O. L. 31 2000 Misclassification minimization. Zbl 0814.90081Mangasarian, O. L. 31 1994 Multisurface method of pattern separation. Zbl 0169.51108Mangasarian, O. L. 30 1968 Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094Mangasarian, O. L. 30 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 A condition number for differentiable convex inequalities. Zbl 0565.90059Mangasarian, O. L. 29 1985 Set containment characterization. Zbl 1047.90068Mangasarian, O. L. 28 2002 Bilinear separation of two sets in \(n\)-space. Zbl 0795.90060Bennett, Kristin P.; Mangasarian, O. L. 28 1993 Sufficiency of exact penalty minimization. Zbl 0559.90072Mangasarian, O. L. 28 1985 New improved error bounds for the linear complementarity problem. Zbl 0829.90124Mangasarian, O. L.; Ren, J. 27 1994 Parallel variable distribution. Zbl 0820.90098Ferris, M. C.; Mangasarian, O. L. 27 1994 Discrete splines via mathematical programming. Zbl 0223.65004Mangasarian, O. L.; Schumaker, L. L. 27 1971 Sparsity-preserving SOR algorithms for separable quadratic and linear programming. Zbl 0606.90102Mangasarian, O. L. 27 1984 Equivalence in nonlinear programming. Zbl 0127.36803Mangasarian, O. 26 1963 New error bounds for the linear complementarity problem. Zbl 0833.90113Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V. 25 1994 Feature selection via mathematical programming. Zbl 1034.90529Bradley, P. S.; Mangasarian, O. L.; Street, W. N. 24 1998 Normal solutions of linear programs. Zbl 0588.90058Mangasarian, O. L. 24 1984 Machine learning via polyhedral concave minimization. Zbl 0906.68127Mangasarian, O. L. 23 1996 Equilibrium points of bimatrix games. Zbl 0132.14002Mangasarian, O. L. 23 1964 Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs. Zbl 0595.90090Mangasarian, O. L.; De Leone, R. 21 1987 Duality in nonlinear programming. Zbl 0113.35703Mangasarian, O. 21 1963 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 The extended linear complementarity problem. Zbl 0835.90103Mangasarian, O. L.; Pang, J. S. 20 1995 Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111Mangasarian, O. L. 20 1995 Best summation formulae and discrete splines. Zbl 0256.65003Mangasarian, O. L.; Schumaker, L. L. 20 1973 Minimum principle sufficiency. Zbl 0760.90076Ferris, M. C.; Mangasarian, O. L. 19 1992 Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474Mangasarian, O. L. 19 2009 The linear complementarity problem as a separable bilinear program. Zbl 0835.90102Mangasarian, O. L. 18 1995 Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329Mangasarian, Olvi L. 18 2006 Absolute value equation solution via dual complementarity. Zbl 1269.90116Mangasarian, Olvi L. 18 2013 A condition number for linear inequalities and linear programs. Zbl 0505.90042Mangasarian, O. L. 18 1981 A hybrid algorithm for solving the absolute value equation. Zbl 1332.90215Mangasarian, Olvi L. 17 2015 A variable-complexity norm maximization problem. Zbl 0589.68033Mangasarian, O. L.; Shiau, T.-H. 16 1986 Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633Fung, Glenn; Mangasarian, O. L. 16 2001 Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. Zbl 0777.90070Mangasarian, O. L. 16 1991 Absolute value equation solution via linear programming. Zbl 1293.90041Mangasarian, Olvi L. 16 2014 Mathematical programming in neural networks. Zbl 0789.90053Mangasarian, O. L. 16 1993 A dual differentiable exact penalty function. Zbl 0495.90070Han, S.-P.; Mangasarian, O. L. 16 1983 Unconstrained Lagrangians in nonlinear programming. Zbl 0269.90045Mangasarian, O. L. 16 1975 Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065Mangasarian, Olvi L. 16 2012 Solution of general linear complementarity problems via nondifferentiable concave minimization. Zbl 0895.90167Mangasarian, O. L. 15 1997 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 Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042Mangasarian, O. L. 14 1999 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. 14 1988 Inequalities for stochastic nonlinear programming problems. Zbl 0132.13806Mangasarian, O. L.; Rosen, J. B. 14 1964 Nonlinear fractional programming. Zbl 0257.90043Mangasarian, O. L. 14 1969 Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. Zbl 0920.90119Mangasarian, O. L. 13 1998 Multiple instance classification via successive linear programming. Zbl 1216.62098Mangasarian, O. L.; Wild, E. W. 13 2008 Minmax and duality in nonlinear programming. Zbl 0131.18601Mangasarian, O. L.; Ponstein, J. 13 1965 Probability of unique integer solution to a system of linear equations. Zbl 1218.90112Mangasarian, O. L.; Recht, Benjamin 13 2011 Simple computable bounds for solutions of linear complementarity problems and linear programs. Zbl 0582.90098Mangasarian, O. L. 13 1985 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 Linear complementarity as absolute value equation solution. Zbl 1288.90109Mangasarian, Olvi L. 12 2014 A stable theorem of the alternative: An extension of the Gordan theorem. Zbl 0488.90044Mangasarian, O. L. 12 1981 Generalized linear complementarity problems as linear programs. Zbl 0398.90098Mangasarian, O. L. 12 1979 Hybrid misclassification minimization. Zbl 0857.68088Chen, Chunhui; Mangasarian, O. L. 11 1996 Convexity, pseudo-convexity and quasi-convexity of composite functions. Zbl 0218.90042Mangasarian, O. L. 11 1970 Asynchronous parallel successive overrelaxation for the symmetric linear complementarity problem. Zbl 0665.90090De Leone, R.; Mangasarian, O. L. 11 1988 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. 4 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. 2 2015 Absolute value equation solution via linear programming. Zbl 1293.90041Mangasarian, Olvi L. 16 2014 Linear complementarity as absolute value equation solution. Zbl 1288.90109Mangasarian, Olvi L. 12 2014 Absolute value equation solution via dual complementarity. Zbl 1269.90116Mangasarian, Olvi L. 18 2013 Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065Mangasarian, Olvi L. 16 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 13 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. 8 2011 Privacy-preserving linear programming. Zbl 1211.90124Mangasarian, O. L. 5 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. 103 2009 Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474Mangasarian, O. L. 19 2009 Multiple instance classification via successive linear programming. Zbl 1216.62098Mangasarian, O. L.; Wild, E. W. 13 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. 84 2007 Absolute value equation solution via concave minimization. Zbl 1149.90098Mangasarian, O. L. 75 2007 Linear programming with MATLAB. Zbl 1147.90027Ferris, Michael C.; Mangasarian, Olvi L.; Wright, Stephen J. 2 2007 Absolute value equations. Zbl 1172.15302Mangasarian, O. L.; Meyer, R. R. 120 2006 Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329Mangasarian, Olvi L. 18 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. 60 2005 Global minimization via piecewise-linear underestimation. Zbl 1098.90072Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. 9 2005 Support vector machine classification via parameterless robust linear programming. Zbl 1087.90047Mangasarian, O. L. 3 2005 A feature selection Newton method for support vector machine classification. Zbl 1056.90103Fung, Glenn M.; Mangasarian, O. L. 42 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. 2 2003 A finite Newton method for classification. Zbl 1065.90078Mangasarian, O. L. 36 2002 Set containment characterization. Zbl 1047.90068Mangasarian, O. L. 28 2002 Large scale kernel regression via linear programming. Zbl 0998.68106Mangasarian, O. L.; Musicant, David R. 8 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. 50 2001 Lagrangian support vector machines. Zbl 0997.68108Mangasarian, O. L.; Musicant, David R. 38 2001 Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633Fung, Glenn; Mangasarian, O. L. 16 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 10 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. 37 2000 Massive data discrimination via linear support vector machines. Zbl 0986.90085Bradley, P. S.; Mangasarian, O. L. 31 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. 47 1999 Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. 44 1999 Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042Mangasarian, O. L. 14 1999 A linearly convergent derivative-free descent method for strongly monotone complementarity problems. Zbl 1017.90115Mangasarian, O. L.; Solodov, M. V. 7 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. 13 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. 15 1997 Exact penalty functions for mathematical programs with linear complementarity constraints. Zbl 0888.90134Mangasarian, O. L.; Pang, J. S. 8 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. 137 1996 Machine learning via polyhedral concave minimization. Zbl 0906.68127Mangasarian, O. L. 23 1996 Hybrid misclassification minimization. Zbl 0857.68088Chen, Chunhui; Mangasarian, O. L. 11 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. 89 1995 Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. 54 1995 The extended linear complementarity problem. Zbl 0835.90103Mangasarian, O. L.; Pang, J. S. 20 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. 60 1994 Misclassification minimization. Zbl 0814.90081Mangasarian, O. L. 31 1994 New improved error bounds for the linear complementarity problem. Zbl 0829.90124Mangasarian, O. L.; Ren, J. 27 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. 25 1994 New error bounds for the nonlinear complementarity problem. Zbl 0860.90117Mangasarian, O. L.; Ren, J. 8 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. 85 1993 Bilinear separation of two sets in \(n\)-space. Zbl 0795.90060Bennett, Kristin P.; Mangasarian, O. L. 28 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. 19 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. 7 1991 Finite perturbation of convex programs. Zbl 0733.90056Ferris, M. C.; Mangasarian, O. L. 7 1991 Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537Wolberg, William H.; Mangasarian, Olvi L. 60 1990 Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. 36 1990 Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094Mangasarian, O. L. 30 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. 86 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. 14 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 Asynchronous parallel successive overrelaxation for the symmetric linear complementarity problem. Zbl 0665.90090De Leone, R.; Mangasarian, O. L. 11 1988 Parallel gradient projection successive overrelaxation for symmetric linear complementarity problems and linear programs. Zbl 0739.90068Mangasarian, O. L.; De Leone, R. 11 1988 Lipschitz continuity of solutions of linear inequalities, programs and complementarity problems. Zbl 0613.90066Mangasarian, O. L.; Shiau, T.-H. 75 1987 Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs. Zbl 0595.90090Mangasarian, O. L.; De Leone, R. 21 1987 ...and 67 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,730 Authors 79 Mangasarian, Olvi L. 32 Chen, Jein-Shan 32 Pang, Jong-Shi 28 Antczak, Tadeusz 28 Jeyakumar, Vaithilingam 24 Qi, Liqun 22 Yang, Xiaoqi 21 Li, Cuixia 20 Pardalos, Panos M. 20 Wu, Shiliang 19 Fukushima, Masao 18 Ketabchi, Saeed 18 Martínez, José Mario 17 Andreani, Roberto 17 Huang, Zheng-Hai 17 Mishra, Shashi Kant 17 Pan, Shaohua 17 Xiu, Naihua 16 Tseng, Paul 15 Chandra, Suresh 15 Kanzow, Christian 15 Ma, Changfeng 15 Noor, Muhammad Aslam 14 Ferris, Michael C. 14 Lee, Gue Myung 14 Solodov, Mikhail V. 13 Areias, Pedro M. A. 13 Chen, Xiaojun 13 Ivanov, Vsevolod Ivanov 13 Moosaei, Hossein 13 Osuna-Gómez, Rafaela 12 Carrizosa, Emilio 12 De Leone, Renato 12 Kim, Do Sang 12 Schaible, Siegfried 12 Sivakumar, Koratti Chengalrayan 12 Zhang, Liwei 11 Arana-Jiménez, Manuel 11 Bector, C. R. 11 Evtushenko, Yuriĭ Gavrilovich 11 Gaudioso, Manlio 11 Goberna, Miguel Angel 11 Le Thi, Hoai An 11 Lucidi, Stefano 11 Rufián-Lizana, Antonio 11 Ruiz-Garzón, Gabriel 11 Stein, Oliver 11 Wang, Shouyang 11 Wang, Yiju 11 Yao, Jen-Chih 10 Dempe, Stephan 10 Luo, Zhi-Quan 10 Pappalardo, Massimo 10 Rückmann, Jan-Joachim 9 Al-Khayyal, Faiz A. 9 Dang, Chuangyin 9 Du, Shouqiang 9 Golikov, Alexander I. 9 Haeser, Gabriel 9 Liu, Hongwei 9 López-Cerdá, Marco Antonio 9 Meng, Zhiqing 9 Minchenko, Leonid I. 9 Mond, Bertram 9 Pang, Liping 9 Rabczuk, Timon 9 Rinaldi, Francesco 9 Schuverdt, María Laura 9 Sun, Defeng 9 Zalmai, G. J. 9 Zhang, Jianzhong 8 Barbagallo, Annamaria 8 Burke, James V. 8 Craven, Bruce Desmond 8 Fang, Shu-Cherng 8 Ferreira, Orizon Pereira 8 Fung, Glenn M. 8 Ibaraki, Toshihide 8 Kaul, R. N. 8 Kostreva, Michael M. 8 Li, Guoyin 8 Miao, Xinhe 8 Németh, Sándor Zoltán 8 Pham Dinh Tao 8 Khemchandani Rastogi, Reshma 8 Shao, Yuanhai 8 Steidl, Gabriele 8 Watson, Layne Terry 8 Yang, Xinmin 8 Nguyen Dong Yen 7 Bai, Yanqin 7 Bazaraa, Mokhtar S. 7 Birgin, Ernesto G. 7 Chu, Yuming 7 Deng, Naiyang 7 Ferland, Jacques A. 7 Gowda, Muddappa Seetharama 7 Han, Shih-Ping 7 Li, Chenliang 7 Morgan, Jacqueline ...and 3,630 more Authors all top 5 Cited in 377 Serials 331 Journal of Optimization Theory and Applications 168 European Journal of Operational Research 151 Mathematical Programming. Series A. 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Zeitschrift für Operations Research 6 Set-Valued Analysis 6 INFORMS Journal on Computing 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Advances in Data Analysis and Classification. ADAC 5 Artificial Intelligence 5 Operations Research 5 Journal of Classification 5 Numerical Linear Algebra with Applications 5 Economic Theory 5 Foundations of Computational Mathematics 5 Journal of Systems Science and Complexity 5 Journal of Machine Learning Research (JMLR) 5 Statistical Analysis and Data Mining 5 Mathematical Programming Computation 4 International Journal of Control ...and 277 more Serials all top 5 Cited in 53 Fields 2,293 Operations research, mathematical programming (90-XX) 748 Numerical analysis (65-XX) 570 Calculus of variations and optimal control; optimization (49-XX) 346 Computer science (68-XX) 248 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 241 Statistics (62-XX) 150 Linear and multilinear algebra; matrix theory (15-XX) 120 Real functions (26-XX) 93 Systems theory; control (93-XX) 59 Operator theory (47-XX) 54 Mechanics of deformable solids (74-XX) 53 Approximations and expansions (41-XX) 46 Convex and discrete geometry (52-XX) 44 Biology and other natural sciences (92-XX) 37 Functional analysis (46-XX) 31 Information and communication theory, circuits (94-XX) 30 Probability theory and stochastic processes (60-XX) 26 Ordinary differential equations (34-XX) 15 Partial differential equations (35-XX) 14 Combinatorics (05-XX) 13 General topology (54-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Differential geometry (53-XX) 7 History and biography (01-XX) 7 Mathematical logic and foundations (03-XX) 7 Manifolds and cell complexes (57-XX) 6 Number theory (11-XX) 6 Algebraic geometry (14-XX) 6 Integral equations (45-XX) 6 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 Difference and functional equations (39-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 Fluid mechanics (76-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-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 Algebraic topology (55-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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