Edit Profile Mangasarian, Olvi L. Compute Distance To: Compute Author ID: mangasarian.olvi-l Published as: Mangasarian, O.; Mangasarian, O. L.; Mangasarian, Olvi L. Homepage: http://pages.cs.wisc.edu/~olvi/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 178 Publications since 1960, including 10 Books Biographic References: 3 Publications all top 5 Co-Authors 87 single-authored 10 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, Michael V. 3 Street, W. Nick 2 Fromovitz, Stan 2 Shavlik, Jude W. 1 Budiansky, Bernard 1 Fayyad, Usama M. 1 Fujiwara, Okitsugu 1 García-Palomares, Ubaldo M. 1 Klinger, Allen 1 Luo, Zhiqiang 1 McLinden, Lynn 1 Ponstein, Jaap 1 Recht, Benjamin 1 Ren, Jia 1 Ren, Jianguo 1 Ren, Jingguo 1 Ritter, Klaus 1 Setiono, Rudy 1 Smola, Alexander J. 1 Stone, Henry 1 Sutherland, W. R. S. 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 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 Machine Learning 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 137 Operations research, mathematical programming (90-XX) 31 Numerical analysis (65-XX) 30 Computer science (68-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Statistics (62-XX) 9 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 167 Publications have been cited 4,295 times in 2,933 Documents Cited by ▼ Year ▼ Nonlinear programming. Zbl 0194.20201Mangasarian, Olvi L. 500 1969 The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. Zbl 0149.16701Mangasarian, O. L.; Fromovitz, S. 217 1967 Solution of symmetric linear complementarity problems by iterative methods. Zbl 0341.65049Mangasarian, O. L. 139 1977 A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112Chen, Chunhui; Mangasarian, O. L. 129 1996 Exact penalty functions in nonlinear programming. Zbl 0424.90057Han, S.-P.; Mangasarian, O. L. 114 1979 Pseudo-convex functions. Zbl 0138.15702Mangasarian, O. L. 108 1965 Absolute value equations. Zbl 1172.15302Mangasarian, O. L.; Meyer, R. R. 87 2006 Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124Chen, Chunhui; Mangasarian, O. L. 81 1995 A simple characterization of solutions sets of convex programs. Zbl 0653.90055Mangasarian, O. L. 81 1988 Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108Mangasarian, Olvi L. 79 1994 Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117Mangasarian, O. L.; Solodov, M. V. 77 1993 A generalized Newton method for absolute value equations. Zbl 1154.90599Mangasarian, O. L. 73 2009 Equivalence of the complementarity problem to a system of nonlinear equations. Zbl 0339.90051Mangasarian, O. L. 71 1976 Sufficient conditions for the optimal control of nonlinear systems. Zbl 0154.10401Mangasarian, O. L. 69 1966 Lipschitz continuity of solutions of linear inequalities, programs and complementarity problems. Zbl 0613.90066Mangasarian, O. L.; Shiau, T.-H. 66 1987 Absolute value programming. Zbl 1278.90386Mangasarian, Olvi L. 63 2007 Absolute value equation solution via concave minimization. Zbl 1149.90098Mangasarian, O. L. 58 2007 Linear complementarity problems solvable by a single linear program. Zbl 0355.90040Mangasarian, O. L. 56 1976 Multicategory proximal support vector machine classifiers. Zbl 1101.68758Fung, Glenn M.; Mangasarian, O. L. 55 2005 Linear and nonlinear separation of patterns by linear programming. Zbl 0127.36701Mangasarian, O. 55 1965 Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537Wolberg, William H.; Mangasarian, Olvi L. 51 1990 Nonlinear perturbation of linear programs. Zbl 0432.90047Mangasarian, O. L.; Meyer, R. R. 51 1979 Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. 49 1995 Two-person nonzero-sum games and quadratic programming. Zbl 0126.36505Mangasarian, Olvi L.; Stone, Henry 49 1964 SSVM: A smooth support vector machine for classification. Zbl 1017.90105Lee, Yuh-Jye; Mangasarian, O. L. 44 2001 Arbitrary-norm separating plane. Zbl 1028.90037Mangasarian, O. L. 44 1999 Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. 43 1999 Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. 39 1990 Error bounds for monotone linear complementarity problems. Zbl 0613.90095Mangasarian, O. L.; Shiau, T.-H. 36 1986 Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems. Zbl 0442.90089Mangasarian, O. L. 36 1980 Uniqueness of solution in linear programming. Zbl 0399.90053Mangasarian, O. L. 35 1979 Characterizations of real matrices of monotone kind. Zbl 0179.05102Mangasarian, O. L. 35 1968 A feature selection Newton method for support vector machine classification. Zbl 1056.90103Fung, Glenn M.; Mangasarian, O. L. 34 2004 Superlinearly convergent quasi-Newton algorithms for nonlinearly constrained optimization problems. Zbl 0362.90103Garcia Palomares, U. M.; Mangasarian, O. L. 34 1976 \(k\)-plane clustering. Zbl 0990.90135Bradley, P. S.; Mangasarian, O. L. 33 2000 A finite Newton method for classification. Zbl 1065.90078Mangasarian, O. L. 32 2002 Lagrangian support vector machines. Zbl 0997.68108Mangasarian, O. L.; Musicant, David R. 30 2001 Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094Mangasarian, O. L. 30 1990 Multisurface method of pattern separation. Zbl 0169.51108Mangasarian, O. L. 30 1968 Misclassification minimization. Zbl 0814.90081Mangasarian, O. L. 29 1994 A condition number for differentiable convex inequalities. Zbl 0565.90059Mangasarian, O. L. 29 1985 Characterization of linear complementarity problems as linear programs. Zbl 0378.90053Mangasarian, O. L. 29 1978 A Newton method for linear programming. Zbl 1140.90467Mangasarian, O. L. 27 2004 Sufficiency of exact penalty minimization. Zbl 0559.90072Mangasarian, O. L. 27 1985 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. 27 1963 Set containment characterization. Zbl 1047.90068Mangasarian, O. L. 26 2002 Massive data discrimination via linear support vector machines. Zbl 0986.90085Bradley, P. S.; Mangasarian, O. L. 26 2000 Parallel variable distribution. Zbl 0820.90098Ferris, M. C.; Mangasarian, O. L. 26 1994 New improved error bounds for the linear complementarity problem. Zbl 0829.90124Mangasarian, O. L.; Ren, J. 24 1994 Bilinear separation of two sets in \(n\)-space. Zbl 0795.90060Bennett, Kristin P.; Mangasarian, O. L. 24 1993 Discrete splines via mathematical programming. Zbl 0223.65004Mangasarian, O. L.; Schumaker, L. L. 24 1971 Feature selection via mathematical programming. Zbl 1034.90529Bradley, P. S.; Mangasarian, O. L.; Street, W. N. 23 1998 Normal solutions of linear programs. Zbl 0588.90058Mangasarian, O. L. 23 1984 New error bounds for the linear complementarity problem. Zbl 0833.90113Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V. 22 1994 Equilibrium points of bimatrix games. Zbl 0132.14002Mangasarian, O. L. 22 1964 Machine learning via polyhedral concave minimization. Zbl 0906.68127Mangasarian, O. L. 21 1996 Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs. Zbl 0595.90090Mangasarian, O. L.; De Leone, R. 21 1987 Characterizations of bounded solutions of linear complementarity problems. Zbl 0487.90088Mangasarian, O. L. 21 1982 Iterative solution of linear programs. Zbl 0471.65033Mangasarian, O. L. 21 1981 Duality in nonlinear programming. Zbl 0113.35703Mangasarian, O. 21 1963 Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111Mangasarian, O. L. 19 1995 Absolute value equation solution via dual complementarity. Zbl 1269.90116Mangasarian, Olvi L. 17 2013 The extended linear complementarity problem. Zbl 0835.90103Mangasarian, O. L.; Pang, J. S. 17 1995 A condition number for linear inequalities and linear programs. Zbl 0505.90042Mangasarian, O. L. 17 1981 Best summation formulae and discrete splines. Zbl 0256.65003Mangasarian, O. L.; Schumaker, L. L. 17 1973 Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329Mangasarian, Olvi L. 16 2006 The linear complementarity problem as a separable bilinear program. Zbl 0835.90102Mangasarian, O. L. 16 1995 Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. Zbl 0777.90070Mangasarian, O. L. 16 1991 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 Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474Mangasarian, O. L. 15 2009 Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633Fung, Glenn; Mangasarian, O. L. 15 2001 Mathematical programming in neural networks. Zbl 0789.90053Mangasarian, O. L. 15 1993 Minimum principle sufficiency. Zbl 0760.90076Ferris, M. C.; Mangasarian, O. L. 15 1992 A variable-complexity norm maximization problem. Zbl 0589.68033Mangasarian, O. L.; Shiau, T.-H. 15 1986 Simple bounds for solutions of monotone complementarity problems and convex programs. Zbl 0567.90093Mangasarian, O. L.; McLinden, L. 15 1985 Simplified characterizations of linear complementarity problems solvable as linear programs. Zbl 0443.90106Mangasarian, O. L. 15 1979 Inequalities for stochastic nonlinear programming problems. Zbl 0132.13806Mangasarian, O. L.; Rosen, J. B. 15 1964 Absolute value equation solution via linear programming. Zbl 1293.90041Mangasarian, Olvi L. 14 2014 Probability of unique integer solution to a system of linear equations. Zbl 1218.90112Mangasarian, O. L.; Recht, Benjamin 14 2011 Solution of general linear complementarity problems via nondifferentiable concave minimization. Zbl 0895.90167Mangasarian, O. L. 14 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. 14 1988 Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065Mangasarian, Olvi L. 13 2012 Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042Mangasarian, O. L. 13 1999 Simple computable bounds for solutions of linear complementarity problems and linear programs. Zbl 0582.90098Mangasarian, O. L. 13 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 Multiple instance classification via successive linear programming. Zbl 1216.62098Mangasarian, O. L.; Wild, E. W. 12 2008 Serial and parallel solution of large scale linear programs for augmented Lagrangian successive overrelaxation. Zbl 0648.90051de Leone, R.; Mangasarian, O. L. 12 1988 A stable theorem of the alternative: An extension of the Gordan theorem. Zbl 0488.90044Mangasarian, O. L. 12 1981 Splines via optimal control. Zbl 0268.49026Mangasarian, O. L.; Schumaker, L. L. 12 1969 Logarithmic convexity and geometric programming. Zbl 0301.90034Klinger, Allen; Mangasarian, O. L. 12 1968 Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9–12, 1999. Zbl 0966.00043Ferris, Michael C. (ed.); Mangasarian, Olvi L. (ed.); Pang, Jong-Shi (ed.) 11 2001 Error bounds and strong upper semicontinuity for monotone affine variational inequalities. Zbl 0794.49008Ferris, M. C.; Mangasarian, O. L. 11 1993 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 Local duality of nonlinear programs. Zbl 0533.49008Fujiwara, O.; Han, S.-P.; Mangasarian, O. L. 11 1984 Convexity, pseudo-convexity and quasi-convexity of composite functions. Zbl 0218.90042Mangasarian, O. L. 11 1970 A convergent splitting of matrices. Zbl 0185.40104Mangasarian, O. L. 11 1970 Sufficient conditions for the unsolvability and solvability of the absolute value equation. Zbl 1381.90058Mangasarian, Olvi L. 1 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. 8 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. 14 2014 Linear complementarity as absolute value equation solution. Zbl 1288.90109Mangasarian, Olvi L. 8 2014 Absolute value equation solution via dual complementarity. Zbl 1269.90116Mangasarian, Olvi L. 17 2013 Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065Mangasarian, Olvi L. 13 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. 7 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. 1 2010 A generalized Newton method for absolute value equations. Zbl 1154.90599Mangasarian, O. L. 73 2009 Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474Mangasarian, O. L. 15 2009 Multiple instance classification via successive linear programming. Zbl 1216.62098Mangasarian, O. L.; Wild, E. W. 12 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. 63 2007 Absolute value equation solution via concave minimization. Zbl 1149.90098Mangasarian, O. L. 58 2007 Linear programming with MATHLAB. Zbl 1147.90027Ferris, Michael C.; Mangasarian, Olvi L.; Wright, Stephen J. 1 2007 Absolute value equations. Zbl 1172.15302Mangasarian, O. L.; Meyer, R. R. 87 2006 Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329Mangasarian, Olvi L. 16 2006 Massive data classification via unconstrained support vector machines. Zbl 1139.90017Mangasarian, O. L.; Thompson, Michael E. 5 2006 Nonconvex piecewise-quadratic underestimation for global minimization. Zbl 1099.90044Mangasarian, O. L.; Rosen, J. B.; 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. 55 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. 34 2004 A Newton method for linear programming. Zbl 1140.90467Mangasarian, O. L. 27 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. 6 2004 Knowledge-based nonlinear kernel classifiers. Zbl 1274.68310Fung, Glenn M.; Mangasarian, Olvi L.; Shavlik, Jude W. 6 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. 32 2002 Set containment characterization. Zbl 1047.90068Mangasarian, O. L. 26 2002 Large scale kernel regression via linear programming. Zbl 0998.68106Mangasarian, O. L.; Musicant, David R. 5 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. 44 2001 Lagrangian support vector machines. Zbl 0997.68108Mangasarian, O. L.; Musicant, David R. 30 2001 Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633Fung, Glenn; Mangasarian, O. L. 15 2001 Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9–12, 1999. Zbl 0966.00043Ferris, Michael C. (ed.); Mangasarian, Olvi L. (ed.); Pang, Jong-Shi (ed.) 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. 33 2000 Massive data discrimination via linear support vector machines. Zbl 0986.90085Bradley, P. S.; Mangasarian, O. L. 26 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. 44 1999 Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. 43 1999 Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042Mangasarian, O. L. 13 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 Feature selection via mathematical programming. Zbl 1034.90529Bradley, P. S.; Mangasarian, O. L.; Street, W. N. 23 1998 Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. Zbl 0920.90119Mangasarian, O. L. 10 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. 14 1997 Exact penalty functions for mathematical programs with linear complementarity constraints. Zbl 0888.90134Mangasarian, O. L.; Pang, J. S. 7 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. 129 1996 Machine learning via polyhedral concave minimization. Zbl 0906.68127Mangasarian, O. L. 21 1996 Hybrid misclassification minimization. Zbl 0857.68088Chen, Chunhui; Mangasarian, O. L. 10 1996 Mathematical programming in machine learning. Zbl 1052.90637Mangasarian, Olvi L. 4 1996 Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124Chen, Chunhui; Mangasarian, O. L. 81 1995 Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. 49 1995 Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111Mangasarian, O. L. 19 1995 The extended linear complementarity problem. Zbl 0835.90103Mangasarian, O. L.; Pang, J. S. 17 1995 The linear complementarity problem as a separable bilinear program. Zbl 0835.90102Mangasarian, O. L. 16 1995 Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108Mangasarian, Olvi L. 79 1994 Misclassification minimization. Zbl 0814.90081Mangasarian, O. L. 29 1994 Parallel variable distribution. Zbl 0820.90098Ferris, M. C.; Mangasarian, O. L. 26 1994 New improved error bounds for the linear complementarity problem. Zbl 0829.90124Mangasarian, O. L.; Ren, J. 24 1994 New error bounds for the linear complementarity problem. Zbl 0833.90113Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V. 22 1994 New error bounds for the nonlinear complementarity problem. Zbl 0860.90117Mangasarian, O. L.; Ren, J. 7 1994 Error bounds for inconsistent linear inequalities and programs. Zbl 0814.90082Mangasarian, O. L. 4 1994 Serial and parallel multicategory discrimination. Zbl 0817.90137Bennett, Kristin P.; Mangasarian, O. L. 1 1994 Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117Mangasarian, O. L.; Solodov, M. V. 77 1993 Bilinear separation of two sets in \(n\)-space. Zbl 0795.90060Bennett, Kristin P.; Mangasarian, O. L. 24 1993 Mathematical programming in neural networks. Zbl 0789.90053Mangasarian, O. L. 15 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. 15 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. 7 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. 6 1991 Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537Wolberg, William H.; Mangasarian, Olvi L. 51 1990 Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. 39 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. 81 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. 66 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 3,626 Authors 78 Mangasarian, Olvi L. 32 Pang, Jong-Shi 31 Chen, Jein-Shan 29 Jeyakumar, Vaithilingam 26 Antczak, Tadeusz 22 Qi, Liqun 22 Yang, Xiaoqi 19 Fukushima, Masao 19 Pardalos, Panos M. 19 Tseng, Paul 18 Martínez, José Mario 17 Huang, Zheng-Hai 17 Pan, Shaohua 17 Xiu, Naihua 15 Andreani, Roberto 15 Chandra, Suresh 15 Kanzow, Christian 15 Ketabchi, Saeed 15 Ma, Changfeng 14 Ferris, Michael C. 14 Lee, Gue Myung 14 Noor, Muhammad Aslam 13 Areias, Pedro M. A. 13 Ivanov, Vsevolod Ivanov 13 Osuna-Gómez, Rafaela 12 Bector, C. R. 12 Carrizosa, Emilio 12 Chen, Xiaojun 12 De Leone, Renato 12 Ruiz-Garzón, Gabriel 12 Schaible, Siegfried 12 Zhang, Liwei 11 Arana-Jiménez, Manuel 11 Evtushenko, Yuriĭ Gavrilovich 11 Goberna, Miguel Angel 11 Kim, Do Sang 11 Le Thi, Hoai An 11 Li, Cuixia 11 Lucidi, Stefano 11 Mishra, Shashi Kant 11 Moosaei, Hossein 11 Rufián-Lizana, Antonio 11 Sivakumar, Koratti Chengalrayan 11 Wang, Shouyang 10 Gaudioso, Manlio 10 Luo, Zhi-Quan 10 Pappalardo, Massimo 10 Wu, Shiliang 10 Yao, Jen-Chih 9 Al-Khayyal, Faiz A. 9 Craven, Bruce Desmond 9 Dang, Chuangyin 9 Dempe, Stephan 9 Golikov, Alexander I. 9 Liu, Hongwei 9 López-Cerdá, Marco Antonio 9 Meng, Zhiqing 9 Minchenko, Leonid I. 9 Mond, Bertram 9 Rabczuk, Timon 9 Zalmai, G. J. 9 Zhang, Jianzhong 8 Barbagallo, Annamaria 8 Haeser, Gabriel 8 Ibaraki, Toshihide 8 Kaul, R. N. 8 Kostreva, Michael M. 8 Li, Guoyin 8 Pang, Liping 8 Pham Dinh Tao 8 Rinaldi, Francesco 8 Schuverdt, María Laura 8 Shao, Yuanhai 8 Sun, Defeng 8 Wang, Yiju 8 Watson, Layne Terry 8 Yang, Xinmin 8 Nguyen Dong Yen 7 Bazaraa, Mokhtar S. 7 Birgin, Ernesto G. 7 Burke, James V. 7 Deng, Naiyang 7 Fang, Shu-Cherng 7 Ferland, Jacques A. 7 Ferreira, Orizon Pereira 7 Fung, Glenn M. 7 Gowda, Muddappa Seetharama 7 Han, Shih-Ping 7 Miao, Xinhe 7 Morgan, Jacqueline 7 Nahak, Chandal 7 Nanda, Sudarsan 7 Németh, Sándor Zoltán 7 Pinar, Mustafa Çelebi 7 Polak, Elijah (Lucien) 7 Rückmann, Jan-Joachim 7 Shen, Rui 7 Shi, Yong 7 Solodov, Michael V. 7 Suzuki, Satoshi ...and 3,526 more Authors all top 5 Cited in 339 Serials 315 Journal of Optimization Theory and Applications 161 European Journal of Operational Research 148 Mathematical Programming. Series A. Series B 145 Journal of Mathematical Analysis and Applications 101 Linear Algebra and its Applications 89 Optimization 88 Mathematical Programming 85 Journal of Global Optimization 81 Applied Mathematics and Computation 78 Computational Optimization and Applications 72 Optimization Letters 65 Journal of Computational and Applied Mathematics 56 Optimization Methods & Software 49 Annals of Operations Research 36 Operations Research Letters 36 SIAM Journal on Optimization 35 Pattern Recognition 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Information Sciences 29 Computers & Operations Research 24 Computers & Mathematics with Applications 21 Applied Mathematics and Optimization 21 Numerical Functional Analysis and Optimization 21 Numerical Algorithms 20 Automatica 20 Neural Networks 19 Computational Statistics and Data Analysis 19 Journal of Applied Mathematics and Computing 18 Discrete Applied Mathematics 18 Journal of Economic Theory 18 Top 17 Applied Mathematics Letters 17 Neural Computation 16 Zeitschrift für Operations Research. Serie A: Theorie 15 Journal of Approximation Theory 15 Numerische Mathematik 14 Fuzzy Sets and Systems 14 Opsearch 14 International Journal of Computer Mathematics 13 Journal of Mathematical Economics 13 Journal of Inequalities and Applications 12 Machine Learning 12 Mathematical Problems in Engineering 11 Applied Numerical Mathematics 11 Computational and Applied Mathematics 11 Mathematical Methods of Operations Research 11 Journal of Industrial and Management Optimization 10 Computational Mechanics 10 Mathematical and Computer Modelling 10 Abstract and Applied Analysis 10 Positivity 10 Journal of Applied Mathematics 9 Computer Methods in Applied Mechanics and Engineering 9 Mathematics of Operations Research 9 Trabajos de Estadistica y de Investigacion Operativa 9 Acta Mathematicae Applicatae Sinica. English Series 9 Asia-Pacific Journal of Operational Research 9 Soft Computing 9 Set-Valued and Variational Analysis 9 Journal of the Operations Research Society of China 8 Calcolo 8 Computing 8 Optimization and Engineering 8 Computational Management Science 7 Linear and Multilinear Algebra 7 Journal of Information & Optimization Sciences 7 Proceedings of the Steklov Institute of Mathematics 7 Numerical Algebra, Control and Optimization 6 Applicable Analysis 6 Mathematics of Computation 6 The Annals of Statistics 6 Kybernetika 6 Proceedings of the American Mathematical Society 6 Theoretical Computer Science 6 OR Spektrum 6 Computational Mathematics and Mathematical Physics 6 Applied Mathematical Modelling 6 ZOR. Zeitschrift für Operations Research 6 Set-Valued Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 4OR 5 Artificial Intelligence 5 Mathematical Biosciences 5 Journal of Multivariate Analysis 5 Systems & Control Letters 5 Numerical Linear Algebra with Applications 5 Economic Theory 5 European Journal of Control 5 Foundations of Computational Mathematics 5 Journal of Systems Science and Complexity 5 Journal of Machine Learning Research (JMLR) 5 Advances in Data Analysis and Classification. ADAC 5 Statistical Analysis and Data Mining 5 SIAM Journal on Imaging Sciences 4 International Journal of Control 4 Acta Mathematica Vietnamica 4 Aplikace Matematiky 4 Biometrics 4 International Journal of Game Theory 4 International Journal for Numerical Methods in Engineering ...and 239 more Serials all top 5 Cited in 53 Fields 2,141 Operations research, mathematical programming (90-XX) 675 Numerical analysis (65-XX) 550 Calculus of variations and optimal control; optimization (49-XX) 315 Computer science (68-XX) 227 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 198 Statistics (62-XX) 129 Linear and multilinear algebra; matrix theory (15-XX) 102 Real functions (26-XX) 89 Systems theory; control (93-XX) 52 Approximations and expansions (41-XX) 52 Mechanics of deformable solids (74-XX) 51 Operator theory (47-XX) 44 Convex and discrete geometry (52-XX) 41 Biology and other natural sciences (92-XX) 31 Functional analysis (46-XX) 30 Information and communication theory, circuits (94-XX) 27 Probability theory and stochastic processes (60-XX) 25 Ordinary differential equations (34-XX) 13 Partial differential equations (35-XX) 12 Combinatorics (05-XX) 12 General topology (54-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 History and biography (01-XX) 7 Manifolds and cell complexes (57-XX) 6 Mathematical logic and foundations (03-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Differential geometry (53-XX) 6 Mechanics of particles and systems (70-XX) 5 Number theory (11-XX) 5 Algebraic geometry (14-XX) 5 Functions of a complex variable (30-XX) 5 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 4 Quantum theory (81-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 Harmonic analysis on Euclidean spaces (42-XX) 2 Fluid mechanics (76-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 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-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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