## Mangasarian, Olvi L.

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 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
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### 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.
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### 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
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### 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)

### Citations contained in zbMATH Open

167 Publications have been cited 4,623 times in 3,166 Documents Cited by Year
Nonlinear programming. Zbl 0194.20201
Mangasarian, Olvi L.
1969
The Fritz John necessary optimality conditions in the presence of equality and inequality constraints. Zbl 0149.16701
Mangasarian, O. L.; Fromovitz, S.
1967
Solution of symmetric linear complementarity problems by iterative methods. Zbl 0341.65049
Mangasarian, O. L.
1977
A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112
Chen, Chunhui; Mangasarian, O. L.
1996
Pseudo-convex functions. Zbl 0138.15702
Mangasarian, O. L.
1965
Exact penalty functions in nonlinear programming. Zbl 0424.90057
Han, S.-P.; Mangasarian, O. L.
1979
Absolute value equations. Zbl 1172.15302
Mangasarian, O. L.; Meyer, R. R.
2006
A generalized Newton method for absolute value equations. Zbl 1154.90599
Mangasarian, O. L.
2009
Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124
Chen, Chunhui; Mangasarian, O. L.
1995
A simple characterization of solutions sets of convex programs. Zbl 0653.90055
Mangasarian, O. L.
1988
Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117
Mangasarian, O. L.; Solodov, M. V.
1993
Absolute value programming. Zbl 1278.90386
Mangasarian, Olvi L.
2007
Lipschitz continuity of solutions of linear inequalities, programs and complementarity problems. Zbl 0613.90066
Mangasarian, O. L.; Shiau, T.-H.
1987
Absolute value equation solution via concave minimization. Zbl 1149.90098
Mangasarian, O. L.
2007
Sufficient conditions for the optimal control of nonlinear systems. Zbl 0154.10401
Mangasarian, O. L.
1966
Equivalence of the complementarity problem to a system of nonlinear equations. Zbl 0339.90051
Mangasarian, O. L.
1976
Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108
Mangasarian, Olvi L.
1994
Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537
Wolberg, William H.; Mangasarian, Olvi L.
1990
Multicategory proximal support vector machine classifiers. Zbl 1101.68758
Fung, Glenn M.; Mangasarian, O. L.
2005
Linear complementarity problems solvable by a single linear program. Zbl 0355.90040
Mangasarian, O. L.
1976
Two-person nonzero-sum games and quadratic programming. Zbl 0126.36505
Mangasarian, Olvi L.; Stone, Henry
1964
Linear and nonlinear separation of patterns by linear programming. Zbl 0127.36701
Mangasarian, O.
1965
Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073
Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H.
1995
Nonlinear perturbation of linear programs. Zbl 0432.90047
Mangasarian, O. L.; Meyer, R. R.
1979
SSVM: A smooth support vector machine for classification. Zbl 1017.90105
Lee, Yuh-Jye; Mangasarian, O. L.
2001
Arbitrary-norm separating plane. Zbl 1028.90037
Mangasarian, O. L.
1999
Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096
1999
A feature selection Newton method for support vector machine classification. Zbl 1056.90103
Fung, Glenn M.; Mangasarian, O. L.
2004
Uniqueness of solution in linear programming. Zbl 0399.90053
Mangasarian, O. L.
1979
Lagrangian support vector machines. Zbl 0997.68108
Mangasarian, O. L.; Musicant, David R.
2001
$$k$$-plane clustering. Zbl 0990.90135
Bradley, P. S.; Mangasarian, O. L.
2000
Error bounds for monotone linear complementarity problems. Zbl 0613.90095
Mangasarian, O. L.; Shiau, T.-H.
1986
Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems. Zbl 0442.90089
Mangasarian, O. L.
1980
A finite Newton method for classification. Zbl 1065.90078
Mangasarian, O. L.
2002
Characterizations of real matrices of monotone kind. Zbl 0179.05102
Mangasarian, O. L.
1968
Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096
Mangasarian, O. L.; Setiono, R.; Wolberg, W. H.
1990
Superlinearly convergent quasi-Newton algorithms for nonlinearly constrained optimization problems. Zbl 0362.90103
Garcia Palomares, U. M.; Mangasarian, O. L.
1976
Massive data discrimination via linear support vector machines. Zbl 0986.90085
Bradley, P. S.; Mangasarian, O. L.
2000
Misclassification minimization. Zbl 0814.90081
Mangasarian, O. L.
1994
Multisurface method of pattern separation. Zbl 0169.51108
Mangasarian, O. L.
1968
Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094
Mangasarian, O. L.
1990
A Newton method for linear programming. Zbl 1140.90467
Mangasarian, O. L.
2004
Characterization of linear complementarity problems as linear programs. Zbl 0378.90053
Mangasarian, O. L.
1978
A condition number for differentiable convex inequalities. Zbl 0565.90059
Mangasarian, O. L.
1985
Set containment characterization. Zbl 1047.90068
Mangasarian, O. L.
2002
Bilinear separation of two sets in $$n$$-space. Zbl 0795.90060
Bennett, Kristin P.; Mangasarian, O. L.
1993
Sufficiency of exact penalty minimization. Zbl 0559.90072
Mangasarian, O. L.
1985
New improved error bounds for the linear complementarity problem. Zbl 0829.90124
Mangasarian, O. L.; Ren, J.
1994
Parallel variable distribution. Zbl 0820.90098
Ferris, M. C.; Mangasarian, O. L.
1994
Discrete splines via mathematical programming. Zbl 0223.65004
Mangasarian, O. L.; Schumaker, L. L.
1971
Sparsity-preserving SOR algorithms for separable quadratic and linear programming. Zbl 0606.90102
Mangasarian, O. L.
1984
Equivalence in nonlinear programming. Zbl 0127.36803
Mangasarian, O.
1963
New error bounds for the linear complementarity problem. Zbl 0833.90113
Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V.
1994
Feature selection via mathematical programming. Zbl 1034.90529
Bradley, P. S.; Mangasarian, O. L.; Street, W. N.
1998
Normal solutions of linear programs. Zbl 0588.90058
Mangasarian, O. L.
1984
Machine learning via polyhedral concave minimization. Zbl 0906.68127
Mangasarian, O. L.
1996
Equilibrium points of bimatrix games. Zbl 0132.14002
Mangasarian, O. L.
1964
Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs. Zbl 0595.90090
Mangasarian, O. L.; De Leone, R.
1987
Duality in nonlinear programming. Zbl 0113.35703
Mangasarian, O.
1963
Iterative solution of linear programs. Zbl 0471.65033
Mangasarian, O. L.
1981
Characterizations of bounded solutions of linear complementarity problems. Zbl 0487.90088
Mangasarian, O. L.
1982
The extended linear complementarity problem. Zbl 0835.90103
Mangasarian, O. L.; Pang, J. S.
1995
Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111
Mangasarian, O. L.
1995
Best summation formulae and discrete splines. Zbl 0256.65003
Mangasarian, O. L.; Schumaker, L. L.
1973
Minimum principle sufficiency. Zbl 0760.90076
Ferris, M. C.; Mangasarian, O. L.
1992
Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474
Mangasarian, O. L.
2009
The linear complementarity problem as a separable bilinear program. Zbl 0835.90102
Mangasarian, O. L.
1995
Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329
Mangasarian, Olvi L.
2006
Absolute value equation solution via dual complementarity. Zbl 1269.90116
Mangasarian, Olvi L.
2013
A condition number for linear inequalities and linear programs. Zbl 0505.90042
Mangasarian, O. L.
1981
A hybrid algorithm for solving the absolute value equation. Zbl 1332.90215
Mangasarian, Olvi L.
2015
A variable-complexity norm maximization problem. Zbl 0589.68033
Mangasarian, O. L.; Shiau, T.-H.
1986
Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633
Fung, Glenn; Mangasarian, O. L.
2001
Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. Zbl 0777.90070
Mangasarian, O. L.
1991
Absolute value equation solution via linear programming. Zbl 1293.90041
Mangasarian, Olvi L.
2014
Mathematical programming in neural networks. Zbl 0789.90053
Mangasarian, O. L.
1993
A dual differentiable exact penalty function. Zbl 0495.90070
Han, S.-P.; Mangasarian, O. L.
1983
Unconstrained Lagrangians in nonlinear programming. Zbl 0269.90045
Mangasarian, O. L.
1975
Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065
Mangasarian, Olvi L.
2012
Solution of general linear complementarity problems via nondifferentiable concave minimization. Zbl 0895.90167
Mangasarian, O. L.
1997
Simplified characterizations of linear complementarity problems solvable as linear programs. Zbl 0443.90106
Mangasarian, O. L.
1979
Simple bounds for solutions of monotone complementarity problems and convex programs. Zbl 0567.90093
Mangasarian, O. L.; McLinden, L.
1985
Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042
Mangasarian, O. L.
1999
Error bounds for strongly convex programs and (super)linearly convergent iterative schemes for the least 2-norm solution of linear programs. Zbl 0645.90062
Mangasarian, O. L.; De Leone, R.
1988
Inequalities for stochastic nonlinear programming problems. Zbl 0132.13806
Mangasarian, O. L.; Rosen, J. B.
1964
Nonlinear fractional programming. Zbl 0257.90043
Mangasarian, O. L.
1969
Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. Zbl 0920.90119
Mangasarian, O. L.
1998
Multiple instance classification via successive linear programming. Zbl 1216.62098
Mangasarian, O. L.; Wild, E. W.
2008
Minmax and duality in nonlinear programming. Zbl 0131.18601
Mangasarian, O. L.; Ponstein, J.
1965
Probability of unique integer solution to a system of linear equations. Zbl 1218.90112
Mangasarian, O. L.; Recht, Benjamin
2011
Simple computable bounds for solutions of linear complementarity problems and linear programs. Zbl 0582.90098
Mangasarian, O. L.
1985
A convergent splitting of matrices. Zbl 0185.40104
Mangasarian, O. L.
1970
Serial and parallel solution of large scale linear programs for augmented Lagrangian successive overrelaxation. Zbl 0648.90051
de Leone, R.; Mangasarian, O. L.
1988
Linear complementarity as absolute value equation solution. Zbl 1288.90109
Mangasarian, Olvi L.
2014
A stable theorem of the alternative: An extension of the Gordan theorem. Zbl 0488.90044
Mangasarian, O. L.
1981
Generalized linear complementarity problems as linear programs. Zbl 0398.90098
Mangasarian, O. L.
1979
Hybrid misclassification minimization. Zbl 0857.68088
Chen, Chunhui; Mangasarian, O. L.
1996
Convexity, pseudo-convexity and quasi-convexity of composite functions. Zbl 0218.90042
Mangasarian, O. L.
1970
Asynchronous parallel successive overrelaxation for the symmetric linear complementarity problem. Zbl 0665.90090
De Leone, R.; Mangasarian, O. L.
1988
Parallel gradient projection successive overrelaxation for symmetric linear complementarity problems and linear programs. Zbl 0739.90068
Mangasarian, O. L.; De Leone, R.
1988
Sufficient conditions for the unsolvability and solvability of the absolute value equation. Zbl 1381.90058
Mangasarian, Olvi L.
2017
Unsupervised and semisupervised classification via absolute value inequalities. Zbl 1343.90051
Fung, Glenn M.; Mangasarian, Olvi L.
2016
A hybrid algorithm for solving the absolute value equation. Zbl 1332.90215
Mangasarian, Olvi L.
2015
Unsupervised classification via convex absolute value inequalities. Zbl 1310.62077
Mangasarian, Olvi L.
2015
Absolute value equation solution via linear programming. Zbl 1293.90041
Mangasarian, Olvi L.
2014
Linear complementarity as absolute value equation solution. Zbl 1288.90109
Mangasarian, Olvi L.
2014
Absolute value equation solution via dual complementarity. Zbl 1269.90116
Mangasarian, Olvi L.
2013
Primal-dual bilinear programming solution of the absolute value equation. Zbl 1259.90065
Mangasarian, Olvi L.
2012
Privacy-preserving horizontally partitioned linear programs. Zbl 1257.90043
Mangasarian, Olvi L.
2012
Probability of unique integer solution to a system of linear equations. Zbl 1218.90112
Mangasarian, O. L.; Recht, Benjamin
2011
Equivalence of minimal $$\ell _{0}$$- and $$\ell _{p }$$-norm solutions of linear equalities, inequalities and linear programs for sufficiently small $$p$$. Zbl 1226.90104
Fung, G. M.; Mangasarian, O. L.
2011
Privacy-preserving linear programming. Zbl 1211.90124
Mangasarian, O. L.
2011
Uniqueness of integer solution of linear equations. Zbl 1202.90196
Mangasarian, O. L.; Ferris, M. C.
2010
A generalized Newton method for absolute value equations. Zbl 1154.90599
Mangasarian, O. L.
2009
Knapsack feasibility as an absolute value equation solvable by successive linear programming. Zbl 1173.90474
Mangasarian, O. L.
2009
Multiple instance classification via successive linear programming. Zbl 1216.62098
Mangasarian, O. L.; Wild, E. W.
2008
Nonlinear knowledge in kernel machines. Zbl 1145.62089
Mangasarian, Olvi L.; Wild, Edward W.
2008
Chunking for massive nonlinear kernel classification. Zbl 1165.90568
Mangasarian, O. L.; Thompson, Michael E.
2008
Absolute value programming. Zbl 1278.90386
Mangasarian, Olvi L.
2007
Absolute value equation solution via concave minimization. Zbl 1149.90098
Mangasarian, O. L.
2007
Linear programming with MATLAB. Zbl 1147.90027
Ferris, Michael C.; Mangasarian, Olvi L.; Wright, Stephen J.
2007
Absolute value equations. Zbl 1172.15302
Mangasarian, O. L.; Meyer, R. R.
2006
Exact 1-norm support vector machines via unconstrained convex differentiable minimization. Zbl 1211.68329
Mangasarian, Olvi L.
2006
Nonconvex piecewise-quadratic underestimation for global minimization. Zbl 1099.90044
Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E.
2006
Massive data classification via unconstrained support vector machines. Zbl 1139.90017
Mangasarian, O. L.; Thompson, Michael E.
2006
Convex kernel underestimation of functions with multiple local minima. Zbl 1098.90055
Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E.
2006
Breast tumor susceptibility to chemotherapy via support vector machines. Zbl 1127.92025
Fung, Glenn; Mangasarian, O. L.
2006
Multicategory proximal support vector machine classifiers. Zbl 1101.68758
Fung, Glenn M.; Mangasarian, O. L.
2005
Global minimization via piecewise-linear underestimation. Zbl 1098.90072
Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E.
2005
Support vector machine classification via parameterless robust linear programming. Zbl 1087.90047
Mangasarian, O. L.
2005
A feature selection Newton method for support vector machine classification. Zbl 1056.90103
Fung, Glenn M.; Mangasarian, O. L.
2004
A Newton method for linear programming. Zbl 1140.90467
Mangasarian, O. L.
2004
Knowledge-based linear programming. Zbl 1114.90070
Mangasarian, O. L.
2004
Knowledge-based kernel approximation. Zbl 1222.68255
Mangasarian, Olvi L.; Shavlik, Jude W.; Wild, Edward W.
2004
Knowledge-based nonlinear kernel classifiers. Zbl 1274.68310
Fung, Glenn M.; Mangasarian, Olvi L.; Shavlik, Jude W.
2003
Data mining via support vector machines. Zbl 1089.68599
Mangasarian, O. L.
2003
Survival-time classification of breast cancer patients. Zbl 1038.90543
Lee, Y.-J.; Mangasarian, O. L.; Wolberg, W. H.
2003
Minimal kernel classifiers. Zbl 1130.68321
Fung, Glenn M.; Mangasarian, Olvi L.; Smola, Alexander J.
2003
A finite Newton method for classification. Zbl 1065.90078
Mangasarian, O. L.
2002
Set containment characterization. Zbl 1047.90068
Mangasarian, O. L.
2002
Large scale kernel regression via linear programming. Zbl 0998.68106
Mangasarian, O. L.; Musicant, David R.
2002
Optimization methods in massive data sets. Zbl 1024.68019
Bradley, P. S.; Mangasarian, O. L.; Musicant, D. R.
2002
SSVM: A smooth support vector machine for classification. Zbl 1017.90105
Lee, Yuh-Jye; Mangasarian, O. L.
2001
Lagrangian support vector machines. Zbl 0997.68108
Mangasarian, O. L.; Musicant, David R.
2001
Semi-supervised support vector machines for unlabeled data classsification. Zbl 1075.68633
Fung, Glenn; Mangasarian, O. L.
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
2001
Data discrimination via nonlinear generalized support vector machines. Zbl 0983.90046
Mangasarian, O. L.; Musicant, David R.
2001
$$k$$-plane clustering. Zbl 0990.90135
Bradley, P. S.; Mangasarian, O. L.
2000
Massive data discrimination via linear support vector machines. Zbl 0986.90085
Bradley, P. S.; Mangasarian, O. L.
2000
Breast cancer survival and chemotherapy: a support vector machine analysis. Zbl 1133.62362
Lee, Y.-J.; Mangasarian, O. L.; Wolberg, W. H.
2000
Arbitrary-norm separating plane. Zbl 1028.90037
Mangasarian, O. L.
1999
Mathematical programming for data mining: Formulations and challenges. Zbl 0973.90096
1999
Minimum-support solutions of polyhedral concave programs. Zbl 0945.90042
Mangasarian, O. L.
1999
A linearly convergent derivative-free descent method for strongly monotone complementarity problems. Zbl 1017.90115
Mangasarian, O. L.; Solodov, M. V.
1999
Polyhedral boundary projection. Zbl 1042.90030
Mangasarian, O. L.
1999
Regularized linear programs with equilibrium constraints. Zbl 0927.65071
Mangasarian, Olvi L.
1999
Feature selection via mathematical programming. Zbl 1034.90529
Bradley, P. S.; Mangasarian, O. L.; Street, W. N.
1998
Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. Zbl 0920.90119
Mangasarian, O. L.
1998
Improved generalization via tolerant training. Zbl 0905.90187
Street, W. N.; Mangasarian, O. L.
1998
Solution of general linear complementarity problems via nondifferentiable concave minimization. Zbl 0895.90167
Mangasarian, O. L.
1997
Exact penalty functions for mathematical programs with linear complementarity constraints. Zbl 0888.90134
Mangasarian, O. L.; Pang, J. S.
1997
The ill-posed linear complementarity problem. Zbl 0886.90159
Mangasarian, O. L.
1997
A class of smoothing functions for nonlinear and mixed complementarity problems. Zbl 0859.90112
Chen, Chunhui; Mangasarian, O. L.
1996
Machine learning via polyhedral concave minimization. Zbl 0906.68127
Mangasarian, O. L.
1996
Hybrid misclassification minimization. Zbl 0857.68088
Chen, Chunhui; Mangasarian, O. L.
1996
Mathematical programming in machine learning. Zbl 1052.90637
Mangasarian, Olvi L.
1996
Smoothing methods for convex inequalities and linear complementarity problems. Zbl 0855.90124
Chen, Chunhui; Mangasarian, O. L.
1995
Breast cancer diagnosis and prognosis via linear programming. Zbl 0857.90073
Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H.
1995
The extended linear complementarity problem. Zbl 0835.90103
Mangasarian, O. L.; Pang, J. S.
1995
Parallel gradient distribution in unconstrained optimization. Zbl 0843.90111
Mangasarian, O. L.
1995
The linear complementarity problem as a separable bilinear program. Zbl 0835.90102
Mangasarian, O. L.
1995
Nonlinear programming. Repr. of the orig. 1969. Zbl 0833.90108
Mangasarian, Olvi L.
1994
Misclassification minimization. Zbl 0814.90081
Mangasarian, O. L.
1994
New improved error bounds for the linear complementarity problem. Zbl 0829.90124
Mangasarian, O. L.; Ren, J.
1994
Parallel variable distribution. Zbl 0820.90098
Ferris, M. C.; Mangasarian, O. L.
1994
New error bounds for the linear complementarity problem. Zbl 0833.90113
Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V.
1994
New error bounds for the nonlinear complementarity problem. Zbl 0860.90117
Mangasarian, O. L.; Ren, J.
1994
Error bounds for inconsistent linear inequalities and programs. Zbl 0814.90082
Mangasarian, O. L.
1994
Nonlinear complementarity as unconstrained and constrained minimization. Zbl 0813.90117
Mangasarian, O. L.; Solodov, M. V.
1993
Bilinear separation of two sets in $$n$$-space. Zbl 0795.90060
Bennett, Kristin P.; Mangasarian, O. L.
1993
Mathematical programming in neural networks. Zbl 0789.90053
Mangasarian, O. L.
1993
Error bounds and strong upper semicontinuity for monotone affine variational inequalities. Zbl 0794.49008
Ferris, M. C.; Mangasarian, O. L.
1993
Minimum principle sufficiency. Zbl 0760.90076
Ferris, M. C.; Mangasarian, O. L.
1992
Global error bounds for monotone affine variational inequality problems. Zbl 0794.90072
Mangasarian, O. L.
1992
Neural network training via linear programming. Zbl 0814.90072
Bennett, Kristin P.; Mangasarian, O. L.
1992
Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. Zbl 0777.90070
Mangasarian, O. L.
1991
Parallel constraint distribution. Zbl 0754.90043
Ferris, M. C.; Mangasarian, O. L.
1991
Finite perturbation of convex programs. Zbl 0733.90056
Ferris, M. C.; Mangasarian, O. L.
1991
Multisurface method of pattern separation for medical diagnosis applied to breast cytology. Zbl 0709.92537
Wolberg, William H.; Mangasarian, Olvi L.
1990
Pattern recognition via linear programming: Theory and application to medical diagnosis. Zbl 0726.90096
Mangasarian, O. L.; Setiono, R.; Wolberg, W. H.
1990
Error bounds for nondegenerate monotone linear complementarity problems. Zbl 0716.90094
Mangasarian, O. L.
1990
Multi-sweep asynchronous parallel successive overrelaxation for the nonsymmetric linear complementarity problem. Zbl 0816.90124
De Leone, R.; Mangasarian, O. L.; Shiau, T.-H.
1990
Least norm solution of nonmonotone linear complementarity problems. Zbl 0989.90547
Mangasarian, O. L.
1990
A simple characterization of solutions sets of convex programs. Zbl 0653.90055
Mangasarian, O. L.
1988
Error bounds for strongly convex programs and (super)linearly convergent iterative schemes for the least 2-norm solution of linear programs. Zbl 0645.90062
Mangasarian, O. L.; De Leone, R.
1988
Serial and parallel solution of large scale linear programs for augmented Lagrangian successive overrelaxation. Zbl 0648.90051
de Leone, R.; Mangasarian, O. L.
1988
Asynchronous parallel successive overrelaxation for the symmetric linear complementarity problem. Zbl 0665.90090
De Leone, R.; Mangasarian, O. L.
1988
Parallel gradient projection successive overrelaxation for symmetric linear complementarity problems and linear programs. Zbl 0739.90068
Mangasarian, O. L.; De Leone, R.
1988
Lipschitz continuity of solutions of linear inequalities, programs and complementarity problems. Zbl 0613.90066
Mangasarian, O. L.; Shiau, T.-H.
1987
Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs. Zbl 0595.90090
Mangasarian, O. L.; De Leone, R.
1987
...and 67 more Documents
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### 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
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### Cited in 377 Serials

 331 Journal of Optimization Theory and Applications 168 European Journal of Operational Research 151 Mathematical Programming. Series A. Series B 143 Journal of Mathematical Analysis and Applications 101 Linear Algebra and its Applications 94 Journal of Global Optimization 91 Optimization 88 Mathematical Programming 81 Applied Mathematics and Computation 81 Computational Optimization and Applications 79 Optimization Letters 70 Journal of Computational and Applied Mathematics 57 Optimization Methods & Software 54 Annals of Operations Research 39 SIAM Journal on Optimization 34 Operations Research Letters 33 Information Sciences 33 Pattern Recognition 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Computers & Operations Research 24 Journal of Inequalities and Applications 23 Computers & Mathematics with Applications 23 Numerical Functional Analysis and Optimization 23 Numerical Algorithms 22 Applied Mathematics and Optimization 22 Journal of Applied Mathematics and Computing 21 Automatica 21 Neural Networks 20 Applied Mathematics Letters 19 Top 18 Discrete Applied Mathematics 18 Machine Learning 17 Journal of Economic Theory 17 Neural Computation 17 Mathematical Problems in Engineering 16 Zeitschrift für Operations Research. Serie A: Theorie 16 Computational Statistics and Data Analysis 16 Computational and Applied Mathematics 15 Journal of Approximation Theory 15 Numerische Mathematik 15 Journal of Industrial and Management Optimization 14 Fuzzy Sets and Systems 14 International Journal of Computer Mathematics 12 Journal of Mathematical Economics 12 Applied Numerical Mathematics 12 Set-Valued and Variational Analysis 11 Computer Methods in Applied Mechanics and Engineering 11 Positivity 11 Mathematical Methods of Operations Research 10 Linear and Multilinear Algebra 10 Mathematics of Operations Research 10 Opsearch 10 Acta Mathematicae Applicatae Sinica. English Series 10 Computational Mechanics 10 Asia-Pacific Journal of Operational Research 10 Mathematical and Computer Modelling 10 Optimization and Engineering 10 Journal of Applied Mathematics 10 Numerical Algebra, Control and Optimization 10 Journal of the Operations Research Society of China 9 Trabajos de Estadistica y de Investigacion Operativa 9 Abstract and Applied Analysis 9 Soft Computing 8 Calcolo 8 Computing 8 Filomat 8 Computational Management Science 8 AIMS Mathematics 7 Theoretical Computer Science 7 Journal of Information & Optimization Sciences 7 Systems & Control Letters 7 Applied Mathematical Modelling 7 4OR 7 Proceedings of the Steklov Institute of Mathematics 7 SIAM Journal on Imaging Sciences 6 Applicable Analysis 6 Mathematics of Computation 6 The Annals of Statistics 6 Journal of Multivariate Analysis 6 Kybernetika 6 Proceedings of the American Mathematical Society 6 SIAM Journal on Control and Optimization 6 OR Spektrum 6 Computational Mathematics and Mathematical Physics 6 ZOR. 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
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### 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)

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