Mangasarian, Olvi L. Sufficient conditions for the unsolvability and solvability of the absolute value equation. (English) Zbl 1381.90058 Optim. Lett. 11, No. 7, 1469-1475 (2017). MSC: 90C05 90C90 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 11, No. 7, 1469--1475 (2017; Zbl 1381.90058) Full Text: DOI
Fung, Glenn M.; Mangasarian, Olvi L. Unsupervised and semisupervised classification via absolute value inequalities. (English) Zbl 1343.90051 J. Optim. Theory Appl. 168, No. 2, 551-558 (2016). MSC: 90C05 68P10 PDFBibTeX XMLCite \textit{G. M. Fung} and \textit{O. L. Mangasarian}, J. Optim. Theory Appl. 168, No. 2, 551--558 (2016; Zbl 1343.90051) Full Text: DOI
Mangasarian, Olvi L. A hybrid algorithm for solving the absolute value equation. (English) Zbl 1332.90215 Optim. Lett. 9, No. 7, 1469-1474 (2015). MSC: 90C26 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 9, No. 7, 1469--1474 (2015; Zbl 1332.90215) Full Text: DOI
Mangasarian, Olvi L. Absolute value equation solution via linear programming. (English) Zbl 1293.90041 J. Optim. Theory Appl. 161, No. 3, 870-876 (2014). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, J. Optim. Theory Appl. 161, No. 3, 870--876 (2014; Zbl 1293.90041) Full Text: DOI
Mangasarian, Olvi L. Linear complementarity as absolute value equation solution. (English) Zbl 1288.90109 Optim. Lett. 8, No. 4, 1529-1534 (2014). MSC: 90C33 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 8, No. 4, 1529--1534 (2014; Zbl 1288.90109) Full Text: DOI
Fung, Glenn M.; Mangasarian, Olvi L. Privacy-preserving linear and nonlinear approximation via linear programming. (English) Zbl 1270.90029 Optim. Methods Softw. 28, No. 1, 207-216 (2013). MSC: 90C05 90C90 PDFBibTeX XMLCite \textit{G. M. Fung} and \textit{O. L. Mangasarian}, Optim. Methods Softw. 28, No. 1, 207--216 (2013; Zbl 1270.90029) Full Text: DOI Link
Mangasarian, Olvi L. Absolute value equation solution via dual complementarity. (English) Zbl 1269.90116 Optim. Lett. 7, No. 4, 625-630 (2013). MSC: 90C33 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 7, No. 4, 625--630 (2013; Zbl 1269.90116) Full Text: DOI Link
Mangasarian, Olvi L. Primal-dual bilinear programming solution of the absolute value equation. (English) Zbl 1259.90065 Optim. Lett. 6, No. 7, 1527-1533 (2012). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 6, No. 7, 1527--1533 (2012; Zbl 1259.90065) Full Text: DOI Link
Mangasarian, Olvi L. Privacy-preserving horizontally partitioned linear programs. (English) Zbl 1257.90043 Optim. Lett. 6, No. 3, 431-436 (2012). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 6, No. 3, 431--436 (2012; Zbl 1257.90043) Full Text: DOI Link
Fung, G. M.; Mangasarian, O. L. Equivalence of minimal \(\ell _{0}\)- and \(\ell _{p }\)-norm solutions of linear equalities, inequalities and linear programs for sufficiently small \(p\). (English) Zbl 1226.90104 J. Optim. Theory Appl. 151, No. 1, 1-10 (2011). MSC: 90C30 90C05 PDFBibTeX XMLCite \textit{G. M. Fung} and \textit{O. L. Mangasarian}, J. Optim. Theory Appl. 151, No. 1, 1--10 (2011; Zbl 1226.90104) Full Text: DOI
Mangasarian, O. L.; Recht, Benjamin Probability of unique integer solution to a system of linear equations. (English) Zbl 1218.90112 Eur. J. Oper. Res. 214, No. 1, 27-30 (2011). MSC: 90C05 15A06 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{B. Recht}, Eur. J. Oper. Res. 214, No. 1, 27--30 (2011; Zbl 1218.90112) Full Text: DOI
Mangasarian, O. L.; Wild, E. W. Exactness conditions for a convex differentiable exterior penalty for linear programming. (English) Zbl 1211.90125 Optimization 60, No. 1-3, 3-14 (2011). MSC: 90C05 90-04 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{E. W. Wild}, Optimization 60, No. 1--3, 3--14 (2011; Zbl 1211.90125) Full Text: DOI Link
Mangasarian, O. L. Privacy-preserving linear programming. (English) Zbl 1211.90124 Optim. Lett. 5, No. 1, 165-172 (2011). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 5, No. 1, 165--172 (2011; Zbl 1211.90124) Full Text: DOI
Mangasarian, O. L.; Ferris, M. C. Uniqueness of integer solution of linear equations. (English) Zbl 1202.90196 Optim. Lett. 4, No. 4, 559-565 (2010). MSC: 90C10 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{M. C. Ferris}, Optim. Lett. 4, No. 4, 559--565 (2010; Zbl 1202.90196) Full Text: DOI
Mangasarian, O. L. Knapsack feasibility as an absolute value equation solvable by successive linear programming. (English) Zbl 1173.90474 Optim. Lett. 3, No. 2, 161-170 (2009). MSC: 90C05 90C27 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 3, No. 2, 161--170 (2009; Zbl 1173.90474) Full Text: DOI
Mangasarian, O. L. A generalized Newton method for absolute value equations. (English) Zbl 1154.90599 Optim. Lett. 3, No. 1, 101-108 (2009). MSC: 90C33 90C53 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 3, No. 1, 101--108 (2009; Zbl 1154.90599) Full Text: DOI
Mangasarian, Olvi L.; Wild, Edward W. Nonlinear knowledge in kernel machines. (English) Zbl 1145.62089 Pardalos, Panos M. (ed.) et al., Data mining and mathematical programming. Chapters of the book are based on lectures at the workshop, Montreal, Canada, October 10–13, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4352-9/pbk). CRM Proceedings and Lecture Notes 45, 181-198 (2008). MSC: 62P10 68T35 62H30 62-07 90C90 92C50 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{E. W. Wild}, in: Data mining and mathematical programming. Chapters of the book are based on lectures at the workshop, Montreal, Canada, October 10--13, 2006. Providence, RI: American Mathematical Society (AMS). 181--198 (2008; Zbl 1145.62089)
Mangasarian, O. L.; Wild, E. W. Multiple instance classification via successive linear programming. (English) Zbl 1216.62098 J. Optim. Theory Appl. 137, No. 3, 555-568 (2008). MSC: 62H30 90C05 90C90 65C60 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{E. W. Wild}, J. Optim. Theory Appl. 137, No. 3, 555--568 (2008; Zbl 1216.62098) Full Text: DOI Link
Mangasarian, O. L.; Thompson, Michael E. Chunking for massive nonlinear kernel classification. (English) Zbl 1165.90568 Optim. Methods Softw. 23, No. 3, 365-374 (2008). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{M. E. Thompson}, Optim. Methods Softw. 23, No. 3, 365--374 (2008; Zbl 1165.90568) Full Text: DOI Link
Ferris, Michael C.; Mangasarian, Olvi L.; Wright, Stephen J. Linear programming with MATLAB. (English) Zbl 1147.90027 MPS/SIAM Series on Optimization 7. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-43-6/pbk). xi, 266 p. (2007). Reviewer: Paulo Mbunga (Kiel) MSC: 90C05 68W30 PDFBibTeX XMLCite \textit{M. C. Ferris} et al., Linear programming with MATLAB. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2007; Zbl 1147.90027)
Mangasarian, O. L. Absolute value equation solution via concave minimization. (English) Zbl 1149.90098 Optim. Lett. 1, No. 1, 3-8 (2007). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Lett. 1, No. 1, 3--8 (2007; Zbl 1149.90098) Full Text: DOI
Mangasarian, Olvi L. Absolute value programming. (English) Zbl 1278.90386 Comput. Optim. Appl. 36, No. 1, 43-53 (2007). MSC: 90C30 90C46 90C33 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Comput. Optim. Appl. 36, No. 1, 43--53 (2007; Zbl 1278.90386) Full Text: DOI
Mangasarian, Olvi L. Exact 1-norm support vector machines via unconstrained convex differentiable minimization. (English) Zbl 1211.68329 J. Mach. Learn. Res. 7, 1517-1530 (2006). MSC: 68T05 90C25 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, J. Mach. Learn. Res. 7, 1517--1530 (2006; Zbl 1211.68329) Full Text: Link
Fung, Glenn; Mangasarian, O. L. Breast tumor susceptibility to chemotherapy via support vector machines. (English) Zbl 1127.92025 Comput. Manag. Sci. 3, No. 2, 103-112 (2006). MSC: 92C50 68T35 68T99 90C90 PDFBibTeX XMLCite \textit{G. Fung} and \textit{O. L. Mangasarian}, Comput. Manag. Sci. 3, No. 2, 103--112 (2006; Zbl 1127.92025) Full Text: DOI Link
Mangasarian, O. L.; Thompson, Michael E. Massive data classification via unconstrained support vector machines. (English) Zbl 1139.90017 J. Optim. Theory Appl. 131, No. 3, 315-325 (2006). MSC: 90C08 62H30 68T05 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{M. E. Thompson}, J. Optim. Theory Appl. 131, No. 3, 315--325 (2006; Zbl 1139.90017) Full Text: DOI Link
Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. Convex kernel underestimation of functions with multiple local minima. (English) Zbl 1098.90055 Comput. Optim. Appl. 34, No. 1, 35-45 (2006). MSC: 90C26 90C53 PDFBibTeX XMLCite \textit{O. L. Mangasarian} et al., Comput. Optim. Appl. 34, No. 1, 35--45 (2006; Zbl 1098.90055) Full Text: DOI
Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. Nonconvex piecewise-quadratic underestimation for global minimization. (English) Zbl 1099.90044 J. Glob. Optim. 34, No. 4, 475-488 (2006). MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{O. L. Mangasarian} et al., J. Glob. Optim. 34, No. 4, 475--488 (2006; Zbl 1099.90044) Full Text: DOI
Mangasarian, O. L.; Rosen, J. B.; Thompson, Michael E. Global minimization via piecewise-linear underestimation. (English) Zbl 1098.90072 J. Glob. Optim. 32, No. 1, 1-9 (2005). MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{O. L. Mangasarian} et al., J. Glob. Optim. 32, No. 1, 1--9 (2005; Zbl 1098.90072) Full Text: DOI
Mangasarian, O. L. Support vector machine classification via parameterless robust linear programming. (English) Zbl 1087.90047 Optim. Methods Softw. 20, No. 1, 115-125 (2005). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Methods Softw. 20, No. 1, 115--125 (2005; Zbl 1087.90047) Full Text: DOI
Mangasarian, Olvi L.; Shavlik, Jude W.; Wild, Edward W. Knowledge-based kernel approximation. (English) Zbl 1222.68255 J. Mach. Learn. Res. 5, 1127-1141 (2004). MSC: 68T05 62J05 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian} et al., J. Mach. Learn. Res. 5, 1127--1141 (2004; Zbl 1222.68255) Full Text: Link
Mangasarian, O. L. Knowledge-based linear programming. (English) Zbl 1114.90070 SIAM J. Optim. 15, No. 2, 375-382 (2004). MSC: 90C05 90C33 90C34 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, SIAM J. Optim. 15, No. 2, 375--382 (2004; Zbl 1114.90070) Full Text: DOI
Mangasarian, O. L. A Newton method for linear programming. (English) Zbl 1140.90467 J. Optim. Theory Appl. 121, No. 1, 1-18 (2004). MSC: 90C05 90C06 90C53 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, J. Optim. Theory Appl. 121, No. 1, 1--18 (2004; Zbl 1140.90467) Full Text: DOI
Fung, Glenn M.; Mangasarian, O. L. A feature selection Newton method for support vector machine classification. (English) Zbl 1056.90103 Comput. Optim. Appl. 28, No. 2, 185-202 (2004). MSC: 90C05 90C53 PDFBibTeX XMLCite \textit{G. M. Fung} and \textit{O. L. Mangasarian}, Comput. Optim. Appl. 28, No. 2, 185--202 (2004; Zbl 1056.90103) Full Text: DOI
Fung, Glenn M.; Mangasarian, Olvi L.; Shavlik, Jude W. Knowledge-based nonlinear kernel classifiers. (English) Zbl 1274.68310 Schölkopf, Bernhard (ed.) et al., Learning theory and kernel machines. 16th annual conference on learning theory and 7th kernel workshop, COLT/Kernel 2003, Washington, DC, USA, August 24–27, 2003. Proceedings. Berlin: Springer (ISBN 3-540-40720-0/pbk). Lect. Notes Comput. Sci. 2777, 102-113 (2003). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{G. M. Fung} et al., Lect. Notes Comput. Sci. 2777, 102--113 (2003; Zbl 1274.68310) Full Text: DOI
Mangasarian, O. L. Data mining via support vector machines. (English) Zbl 1089.68599 Sachs, E.W. (ed.) et al., System modeling and optimization XX. IFIP TC7, 20th conference on system modeling and optimization, Trier, Germany, July 23–37, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-7565-0/hbk). IFIP, Int. Fed. Inf. Process. 130, 91-112 (2003). MSC: 68T05 90C55 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, IFIP, Int. Fed. Inf. Process. 130, 91--112 (2003; Zbl 1089.68599)
Lee, Y.-J.; Mangasarian, O. L.; Wolberg, W. H. Survival-time classification of breast cancer patients. (English) Zbl 1038.90543 Comput. Optim. Appl. 25, No. 1-3, 151-166 (2003). MSC: 90C30 92C50 PDFBibTeX XMLCite \textit{Y. J. Lee} et al., Comput. Optim. Appl. 25, No. 1--3, 151--166 (2003; Zbl 1038.90543) Full Text: DOI
Mangasarian, O. L. A finite Newton method for classification. (English) Zbl 1065.90078 Optim. Methods Softw. 17, No. 5, 913-929 (2002). MSC: 90C53 65K10 90C20 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optim. Methods Softw. 17, No. 5, 913--929 (2002; Zbl 1065.90078) Full Text: DOI
Mangasarian, O. L. Set containment characterization. (English) Zbl 1047.90068 J. Glob. Optim. 24, No. 4, 473-480 (2002). MSC: 90C31 90B20 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, J. Glob. Optim. 24, No. 4, 473--480 (2002; Zbl 1047.90068) Full Text: DOI
Bradley, P. S.; Mangasarian, O. L.; Musicant, D. R. Optimization methods in massive data sets. (English) Zbl 1024.68019 Abello, James (ed.) et al., Handbook of massive data sets. Dordrecht: Kluwer Academic Publishers. Massive Comput. 4, 439-471 (2002). MSC: 68P05 68T05 90Cxx PDFBibTeX XMLCite \textit{P. S. Bradley} et al., Massive Comput. 4, 439--471 (2002; Zbl 1024.68019)
Mangasarian, O. L.; Musicant, David R. Data discrimination via nonlinear generalized support vector machines. (English) Zbl 0983.90046 Ferris, Michael C. (ed.) et al., Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9-12, 1999. Dordrecht: Kluwer Academic Publishers. Appl. Optim. 50, 233-251 (2001). MSC: 90C20 90C05 90C25 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{D. R. Musicant}, Appl. Optim. 50, 233--251 (2001; Zbl 0983.90046)
Lee, Yuh-Jye; Mangasarian, O. L. SSVM: A smooth support vector machine for classification. (English) Zbl 1017.90105 Comput. Optim. Appl. 20, No. 1, 5-22 (2001). MSC: 90C30 90C60 68T05 PDFBibTeX XMLCite \textit{Y.-J. Lee} and \textit{O. L. Mangasarian}, Comput. Optim. Appl. 20, No. 1, 5--22 (2001; Zbl 1017.90105) Full Text: DOI
Ferris, Michael C. (ed.); Mangasarian, Olvi L. (ed.); Pang, Jong-Shi (ed.) Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9–12, 1999. (English) Zbl 0966.00043 Applied Optimization. 50. Dordrecht: Kluwer Academic Publishers. viii, 400 p. EUR 135.00; $ 146.00; £93.00 (2001). MSC: 00B25 90-06 49J40 65K05 90C33 PDFBibTeX XMLCite \textit{M. C. Ferris} (ed.) et al., Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9--12, 1999. Dordrecht: Kluwer Academic Publishers (2001; Zbl 0966.00043)
Bradley, P. S.; Mangasarian, O. L. \(k\)-plane clustering. (English) Zbl 0990.90135 J. Glob. Optim. 16, No. 1, 23-32 (2000). MSC: 90C59 62H30 68T10 PDFBibTeX XMLCite \textit{P. S. Bradley} and \textit{O. L. Mangasarian}, J. Glob. Optim. 16, No. 1, 23--32 (2000; Zbl 0990.90135) Full Text: DOI
Bradley, P. S.; Mangasarian, O. L. Massive data discrimination via linear support vector machines. (English) Zbl 0986.90085 Optim. Methods Softw. 13, No. 1, 1-10 (2000). MSC: 90C90 90C08 PDFBibTeX XMLCite \textit{P. S. Bradley} and \textit{O. L. Mangasarian}, Optim. Methods Softw. 13, No. 1, 1--10 (2000; Zbl 0986.90085) Full Text: DOI
Bradley, P. S.; Fayyad, Usama M.; Mangasarian, O. L. Mathematical programming for data mining: Formulations and challenges. (English) Zbl 0973.90096 INFORMS J. Comput. 11, No. 3, 217-238 (1999). MSC: 90C90 68T99 68P15 90-02 PDFBibTeX XMLCite \textit{P. S. Bradley} et al., INFORMS J. Comput. 11, No. 3, 217--238 (1999; Zbl 0973.90096) Full Text: DOI Link
Mangasarian, O. L. Polyhedral boundary projection. (English) Zbl 1042.90030 SIAM J. Optim. 9, No. 4, 1128-1134 (1999). MSC: 90C05 90C30 15A39 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, SIAM J. Optim. 9, No. 4, 1128--1134 (1999; Zbl 1042.90030) Full Text: DOI
Mangasarian, O. L. Arbitrary-norm separating plane. (English) Zbl 1028.90037 Oper. Res. Lett. 24, No. 1-2, 15-23 (1999). MSC: 90C25 49M37 90C90 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Oper. Res. Lett. 24, No. 1--2, 15--23 (1999; Zbl 1028.90037) Full Text: DOI
Mangasarian, O. L. Minimum-support solutions of polyhedral concave programs. (English) Zbl 0945.90042 Optimization 45, No. 1-4, 149-162 (1999). MSC: 90C26 90C30 90C05 90C33 49M37 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Optimization 45, No. 1--4, 149--162 (1999; Zbl 0945.90042) Full Text: DOI Link
Mangasarian, O. L.; Solodov, M. V. A linearly convergent derivative-free descent method for strongly monotone complementarity problems. (English) Zbl 1017.90115 Comput. Optim. Appl. 14, No. 1, 5-16 (1999). MSC: 90C33 90C56 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{M. V. Solodov}, Comput. Optim. Appl. 14, No. 1, 5--16 (1999; Zbl 1017.90115) Full Text: DOI
Mangasarian, Olvi L. Regularized linear programs with equilibrium constraints. (English) Zbl 0927.65071 Fukushima, Masao (ed.) et al., Reformulation: nonsmooth, piecewise smooth, semismooth and smoothing methods. Session in the 16th international symposium on Mathematical programming (ismp97) held at Lausanne EPFL, Switzerland, August 24–29, 1997. Boston: Kluwer Academic Publishers. Appl. Optim. 22, 259-268 (1999). MSC: 65K05 90C05 90C51 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Appl. Optim. 22, 259--268 (1999; Zbl 0927.65071)
Bradley, P. S.; Mangasarian, O. L.; Street, W. N. Feature selection via mathematical programming. (English) Zbl 1034.90529 INFORMS J. Comput. 10, No. 2, 209-217 (1998). MSC: 90C30 68T05 90C90 PDFBibTeX XMLCite \textit{P. S. Bradley} et al., INFORMS J. Comput. 10, No. 2, 209--217 (1998; Zbl 1034.90529) Full Text: DOI Link
Mangasarian, O. L. Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification. (English) Zbl 0920.90119 Math. Program. 83, No. 2 (A), 187-194 (1998). MSC: 90C25 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Math. Program. 83, No. 2 (A), 187--194 (1998; Zbl 0920.90119)
Street, W. N.; Mangasarian, O. L. Improved generalization via tolerant training. (English) Zbl 0905.90187 J. Optimization Theory Appl. 96, No. 2, 259-279 (1998). MSC: 90C90 68T05 91E40 PDFBibTeX XMLCite \textit{W. N. Street} and \textit{O. L. Mangasarian}, J. Optim. Theory Appl. 96, No. 2, 259--279 (1998; Zbl 0905.90187) Full Text: DOI
Mangasarian, O. L. Solution of general linear complementarity problems via nondifferentiable concave minimization. (English) Zbl 0895.90167 Acta Math. Vietnam. 22, No. 1, 199-205 (1997). MSC: 90C33 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Acta Math. Vietnam. 22, No. 1, 199--205 (1997; Zbl 0895.90167)
Mangasarian, O. L.; Pang, J. S. Exact penalty functions for mathematical programs with linear complementarity constraints. (English) Zbl 0888.90134 Optimization 42, No. 1, 1-8 (1997). MSC: 90C30 90C33 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{J. S. Pang}, Optimization 42, No. 1, 1--8 (1997; Zbl 0888.90134) Full Text: DOI
Mangasarian, O. L. The ill-posed linear complementarity problem. (English) Zbl 0886.90159 Ferris, Michael C. (ed.) et al., Complementarity and variational problems. State of the art. Proceedings of the international conference, Baltimore, MD, USA, November 1–4, 1995. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 226-233 (1997). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, in: Complementarity and variational problems. State of the art. Proceedings of the international conference, Baltimore, MD, USA, November 1--4, 1995. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 226--233 (1997; Zbl 0886.90159)
Chen, Chunhui; Mangasarian, O. L. A class of smoothing functions for nonlinear and mixed complementarity problems. (English) Zbl 0859.90112 Comput. Optim. Appl. 5, No. 2, 97-138 (1996). MSC: 90C33 PDFBibTeX XMLCite \textit{C. Chen} and \textit{O. L. Mangasarian}, Comput. Optim. Appl. 5, No. 2, 97--138 (1996; Zbl 0859.90112) Full Text: DOI
Mangasarian, Olvi L. Mathematical programming in machine learning. (English) Zbl 1052.90637 Di Pillo, Gianni (ed.) et al., Nonlinear optimization and applications. Proceedings of the 21st workshop, Erice, Italy, June 13–21, 1995. New York, NY: Plenum Press (ISBN 0-306-45316-9). 283-295 (1996). MSC: 90C90 68T05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, in: Nonlinear optimization and applications. Proceedings of the 21st workshop, Erice, Italy, June 13--21, 1995. New York, NY: Plenum Press. 283--295 (1996; Zbl 1052.90637)
Mangasarian, Olvi L.; Street, W. Nick; Wolberg, William H. Breast cancer diagnosis and prognosis via linear programming. (English) Zbl 0857.90073 Oper. Res. 43, No. 4, 570-577 (1995). MSC: 90B90 90C90 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian} et al., Oper. Res. 43, No. 4, 570--577 (1995; Zbl 0857.90073) Full Text: DOI Link
Chen, Chunhui; Mangasarian, O. L. Smoothing methods for convex inequalities and linear complementarity problems. (English) Zbl 0855.90124 Math. Program. 71, No. 1 (A), 51-69 (1995). MSC: 90C33 PDFBibTeX XMLCite \textit{C. Chen} and \textit{O. L. Mangasarian}, Math. Program. 71, No. 1 (A), 51--69 (1995; Zbl 0855.90124) Full Text: DOI
Mangasarian, O. L. Parallel gradient distribution in unconstrained optimization. (English) Zbl 0843.90111 SIAM J. Control Optimization 33, No. 6, 1916-1925 (1995). MSC: 90C30 65Y05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, SIAM J. Control Optim. 33, No. 6, 1916--1925 (1995; Zbl 0843.90111) Full Text: DOI
Mangasarian, O. L.; Pang, J. S. The extended linear complementarity problem. (English) Zbl 0835.90103 SIAM J. Matrix Anal. Appl. 16, No. 2, 359-368 (1995). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{J. S. Pang}, SIAM J. Matrix Anal. Appl. 16, No. 2, 359--368 (1995; Zbl 0835.90103) Full Text: DOI
Mangasarian, O. L. The linear complementarity problem as a separable bilinear program. (English) Zbl 0835.90102 J. Glob. Optim. 6, No. 2, 153-161 (1995). MSC: 90C33 90C20 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, J. Glob. Optim. 6, No. 2, 153--161 (1995; Zbl 0835.90102) Full Text: DOI
Mangasarian, O. L.; Ren, J. New error bounds for the nonlinear complementarity problem. (English) Zbl 0860.90117 Commun. Appl. Nonlinear Anal. 1, No. 1, 49-56 (1994). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{J. Ren}, Commun. Appl. Nonlinear Anal. 1, No. 1, 49--56 (1994; Zbl 0860.90117)
Luo, Z.-Q.; Mangasarian, O. L.; Ren, J.; Solodov, M. V. New error bounds for the linear complementarity problem. (English) Zbl 0833.90113 Math. Oper. Res. 19, No. 4, 880-892 (1994). MSC: 90C33 PDFBibTeX XMLCite \textit{Z. Q. Luo} et al., Math. Oper. Res. 19, No. 4, 880--892 (1994; Zbl 0833.90113) Full Text: DOI Link
Mangasarian, Olvi L. Nonlinear programming. Repr. of the orig. 1969. (English) Zbl 0833.90108 Classics in Applied Mathematics. 10. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xv, 220 p. (1994). Reviewer: J.J.Dinkel (College Station) MSC: 90C30 90C25 90-01 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Nonlinear programming. Repr. of the orig. 1969. Philadelphia, PA: SIAM (1994; Zbl 0833.90108)
Ferris, M. C.; Mangasarian, O. L. Parallel variable distribution. (English) Zbl 0820.90098 SIAM J. Optim. 4, No. 4, 815-832 (1994). MSC: 90C30 65Y05 49M27 PDFBibTeX XMLCite \textit{M. C. Ferris} and \textit{O. L. Mangasarian}, SIAM J. Optim. 4, No. 4, 815--832 (1994; Zbl 0820.90098) Full Text: DOI Link
Bennett, Kristin P.; Mangasarian, O. L. Serial and parallel multicategory discrimination. (English) Zbl 0817.90137 SIAM J. Optim. 4, No. 4, 722-734 (1994). MSC: 90C90 65Y05 68T05 90B50 90C20 PDFBibTeX XMLCite \textit{K. P. Bennett} and \textit{O. L. Mangasarian}, SIAM J. Optim. 4, No. 4, 722--734 (1994; Zbl 0817.90137) Full Text: DOI Link
Mangasarian, O. L. Misclassification minimization. (English) Zbl 0814.90081 J. Glob. Optim. 5, No. 4, 309-323 (1994). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, J. Glob. Optim. 5, No. 4, 309--323 (1994; Zbl 0814.90081) Full Text: DOI
Mangasarian, O. L. Error bounds for inconsistent linear inequalities and programs. (English) Zbl 0814.90082 Oper. Res. Lett. 15, No. 4, 187-192 (1994). MSC: 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Oper. Res. Lett. 15, No. 4, 187--192 (1994; Zbl 0814.90082) Full Text: DOI Link
Mangasarian, O. L.; Ren, J. New improved error bounds for the linear complementarity problem. (English) Zbl 0829.90124 Math. Program. 66, No. 2 (A), 241-255 (1994). Reviewer: E.Iwanow (Wien) MSC: 90C33 90C20 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{J. Ren}, Math. Program. 66, No. 2 (A), 241--255 (1994; Zbl 0829.90124) Full Text: DOI
Mangasarian, O. L.; Solodov, M. V. Nonlinear complementarity as unconstrained and constrained minimization. (English) Zbl 0813.90117 Math. Program. 62, No. 2 (B), 277-297 (1993). Reviewer: J.Parida (Rourkela) MSC: 90C33 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{M. V. Solodov}, Math. Program. 62, No. 2 (B), 277--297 (1993; Zbl 0813.90117) Full Text: DOI
Mangasarian, O. L. Mathematical programming in neural networks. (English) Zbl 0789.90053 ORSA J. Comput. 5, No. 4, 349-360 (1993). MSC: 90C05 92B20 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, ORSA J. Comput. 5, No. 4, 349--360 (1993; Zbl 0789.90053) Full Text: DOI Link
Bennett, Kristin P.; Mangasarian, O. L. Bilinear separation of two sets in \(n\)-space. (English) Zbl 0795.90060 Comput. Optim. Appl. 2, No. 3, 207-227 (1993). MSC: 90C30 92B20 PDFBibTeX XMLCite \textit{K. P. Bennett} and \textit{O. L. Mangasarian}, Comput. Optim. Appl. 2, No. 3, 207--227 (1993; Zbl 0795.90060) Full Text: DOI
Ferris, M. C.; Mangasarian, O. L. Error bounds and strong upper semicontinuity for monotone affine variational inequalities. (English) Zbl 0794.49008 Ann. Oper. Res. 46-47, No. 1-4, 293-305 (1993). MSC: 49J40 90C33 90C25 PDFBibTeX XMLCite \textit{M. C. Ferris} and \textit{O. L. Mangasarian}, Ann. Oper. Res. 46--47, No. 1--4, 293--305 (1993; Zbl 0794.49008) Full Text: DOI
Ferris, M. C.; Mangasarian, O. L. Minimum principle sufficiency. (English) Zbl 0760.90076 Math. Program., Ser. B 57, No. 1, 1-14 (1992). Reviewer: S.Mititelu (Bucureşti) MSC: 90C25 90C33 PDFBibTeX XMLCite \textit{M. C. Ferris} and \textit{O. L. Mangasarian}, Math. Program. 57, No. 1 (B), 1--14 (1992; Zbl 0760.90076) Full Text: DOI
Bennett, Kristin P.; Mangasarian, O. L. Neural network training via linear programming. (English) Zbl 0814.90072 Pardalos, Panos M. (ed.), Advances in optimization and parallel computing. Honorary volume on the occasion of J. B. Rosen’s 70th birthday. Amsterdam: North-Holland. 56-67 (1992). MSC: 90C05 92B20 PDFBibTeX XMLCite \textit{K. P. Bennett} and \textit{O. L. Mangasarian}, in: Advances in optimization and parallel computing. Honorary volume on the occasion of J. B. Rosen's 70th birthday. Amsterdam: North-Holland. 56--67 (1992; Zbl 0814.90072)
Mangasarian, O. L. Global error bounds for monotone affine variational inequality problems. (English) Zbl 0794.90072 Linear Algebra Appl. 174, 153-163 (1992). MSC: 90C33 49J40 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Linear Algebra Appl. 174, 153--163 (1992; Zbl 0794.90072) Full Text: DOI
Mangasarian, O. L. Convergence of iterates of an inexact matrix splitting algorithm for the symmetric monotone linear complementarity problem. (English) Zbl 0777.90070 SIAM J. Optim. 1, No. 1, 114-122 (1991). MSC: 90C33 90C20 90-08 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, SIAM J. Optim. 1, No. 1, 114--122 (1991; Zbl 0777.90070) Full Text: DOI Link
Ferris, M. C.; Mangasarian, O. L. Parallel constraint distribution. (English) Zbl 0754.90043 SIAM J. Optim. 1, No. 4, 487-500 (1991). MSC: 90C25 65Y05 90-08 PDFBibTeX XMLCite \textit{M. C. Ferris} and \textit{O. L. Mangasarian}, SIAM J. Optim. 1, No. 4, 487--500 (1991; Zbl 0754.90043) Full Text: DOI Link
Ferris, M. C.; Mangasarian, O. L. Finite perturbation of convex programs. (English) Zbl 0733.90056 Appl. Math. Optimization 23, No. 3, 263-273 (1991). Reviewer: J.Lovíšek (Bratislava) MSC: 90C25 90C05 90C31 65K05 PDFBibTeX XMLCite \textit{M. C. Ferris} and \textit{O. L. Mangasarian}, Appl. Math. Optim. 23, No. 3, 263--273 (1991; Zbl 0733.90056) Full Text: DOI
De Leone, R.; Mangasarian, O. L.; Shiau, T.-H. Multi-sweep asynchronous parallel successive overrelaxation for the nonsymmetric linear complementarity problem. (English) Zbl 0816.90124 Ann. Oper. Res. 22, 43-54 (1990). MSC: 90C33 90C05 90-08 PDFBibTeX XMLCite \textit{R. De Leone} et al., Ann. Oper. Res. 22, 43--54 (1990; Zbl 0816.90124) Full Text: DOI
Mangasarian, O. L.; Setiono, R.; Wolberg, W. H. Pattern recognition via linear programming: Theory and application to medical diagnosis. (English) Zbl 0726.90096 Large-scale numerical optimization, Proc. Workshop, Ithaca/NY (USA) 1989, 22-31 (1990). MSC: 90C90 90C05 92C50 68T10 90C60 90-08 PDFBibTeX XML
Mangasarian, O. L. Error bounds for nondegenerate monotone linear complementarity problems. (English) Zbl 0716.90094 Math. Program., Ser. B 48, No. 3, 437-445 (1990). MSC: 90C33 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Math. Program. 48, No. 3 (B), 437--445 (1990; Zbl 0716.90094) Full Text: DOI
Mangasarian, O. L. Least norm solution of nonmonotone linear complementarity problems. (English) Zbl 0989.90547 Leifman, Lev J. (ed.), Functional analysis, optimization, and mathematical economics. A collection of papers dedicated to the memory of L. V. Kantorovich. New York: Oxford University Press. 217-221 (1990). MSC: 90C33 49M30 90C20 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, in: Functional analysis, optimization, and mathematical economics. A collection of papers dedicated to the memory of L. V. Kantorovich. New York: Oxford University Press. 217--221 (1990; Zbl 0989.90547)
Mangasarian, O. L.; De Leone, R. Parallel gradient projection successive overrelaxation for symmetric linear complementarity problems and linear programs. (English) Zbl 0739.90068 Ann. Oper. Res. 14, No. 1-4, 41-59 (1988). MSC: 90C33 65K05 90C05 90-08 65Y05 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{R. De Leone}, Ann. Oper. Res. 14, No. 1--4, 41--59 (1988; Zbl 0739.90068) Full Text: DOI
De Leone, R.; Mangasarian, O. L. Asynchronous parallel successive overrelaxation for the symmetric linear complementarity problem. (English) Zbl 0665.90090 Math. Program., Ser. B 42, No. 2, 347-361 (1988). MSC: 90C33 90C05 65K05 PDFBibTeX XMLCite \textit{R. De Leone} and \textit{O. L. Mangasarian}, Math. Program. 42, No. 2 (B), 347--361 (1988; Zbl 0665.90090) Full Text: DOI
Mangasarian, O. L. A simple characterization of solutions sets of convex programs. (English) Zbl 0653.90055 Oper. Res. Lett. 7, No. 1, 21-26 (1988). Reviewer: H.Tuy MSC: 90C25 90C33 90C20 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Oper. Res. Lett. 7, No. 1, 21--26 (1988; Zbl 0653.90055) Full Text: DOI
de Leone, R.; Mangasarian, O. L. Serial and parallel solution of large scale linear programs for augmented Lagrangian successive overrelaxation. (English) Zbl 0648.90051 Optimization, parallel processing and applications. Proc. Conf. Oper. Res., Oberwolfach/FRG 1987, Workshop Adv. Comput. Tech. Parallel Process. Optimization, Karlsruhe/FRG 1987, Lect. Notes Econ. Math. Syst. 304, 103-124 (1988). MSC: 90C05 90C06 65K05 PDFBibTeX XML
Mangasarian, O. L.; De Leone, R. Error bounds for strongly convex programs and (super)linearly convergent iterative schemes for the least 2-norm solution of linear programs. (English) Zbl 0645.90062 Appl. Math. Optimization 17, No. 1, 1-14 (1988). Reviewer: S.Schaible MSC: 90C25 90C06 65K05 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{R. De Leone}, Appl. Math. Optim. 17, No. 1, 1--14 (1988; Zbl 0645.90062) Full Text: DOI
Mangasarian, O. L.; Shiau, T.-H. Lipschitz continuity of solutions of linear inequalities, programs and complementarity problems. (English) Zbl 0613.90066 SIAM J. Control Optimization 25, 583-595 (1987). MSC: 90C05 90C33 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{T. H. Shiau}, SIAM J. Control Optim. 25, 583--595 (1987; Zbl 0613.90066) Full Text: DOI Link
Mangasarian, O. L.; De Leone, R. Parallel successive overrelaxation methods for symmetric linear complementarity problems and linear programs. (English) Zbl 0595.90090 J. Optimization Theory Appl. 54, 437-446 (1987). MSC: 90C33 65K05 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{R. De Leone}, J. Optim. Theory Appl. 54, 437--446 (1987; Zbl 0595.90090) Full Text: DOI
Mangasarian, O. L.; Shiau, T.-H. Error bounds for monotone linear complementarity problems. (English) Zbl 0613.90095 Math. Program. 36, 81-89 (1986). MSC: 90C33 90C25 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{T. H. Shiau}, Math. Program. 36, 81--89 (1986; Zbl 0613.90095) Full Text: DOI
Mangasarian, O. L. Some applications of penalty functions in mathematical programming. (English) Zbl 0597.90071 Optimization and related fields, Proc. G. Stampacchia Int. Sch. Math., Erice/Italy 1984, Lect. Notes Math. 1190, 307-329 (1986). Reviewer: R.Lepp MSC: 90C30 49M37 PDFBibTeX XML
Mangasarian, O. L.; Shiau, T.-H. A variable-complexity norm maximization problem. (English) Zbl 0589.68033 SIAM J. Algebraic Discrete Methods 7, 455-461 (1986). MSC: 68Q25 90C05 90C30 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{T. H. Shiau}, SIAM J. Algebraic Discrete Methods 7, 455--461 (1986; Zbl 0589.68033) Full Text: DOI Link
Mangasarian, O. L. Simple computable bounds for solutions of linear complementarity problems and linear programs. (English) Zbl 0582.90098 Math. Program. Study 25, 1-12 (1985). MSC: 90C33 90C05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Math. Program. Study 25, 1--12 (1985; Zbl 0582.90098) Full Text: DOI
Mangasarian, O. L.; McLinden, L. Simple bounds for solutions of monotone complementarity problems and convex programs. (English) Zbl 0567.90093 Math. Program. 32, 32-40 (1985). MSC: 90C33 49M37 90C25 90C30 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{L. McLinden}, Math. Program. 32, 32--40 (1985; Zbl 0567.90093) Full Text: DOI
Mangasarian, O. L. Computable numerical bounds for Lagrange multipliers of stationary points of nonconvex differentiable nonlinear programs. (English) Zbl 0565.90069 Oper. Res. Lett. 4, 47-48 (1985). MSC: 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Oper. Res. Lett. 4, 47--48 (1985; Zbl 0565.90069) Full Text: DOI
Mangasarian, O. L. A condition number for differentiable convex inequalities. (English) Zbl 0565.90059 Math. Oper. Res. 10, 175-179 (1985). MSC: 90C25 90C55 65F35 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, Math. Oper. Res. 10, 175--179 (1985; Zbl 0565.90059) Full Text: DOI Link
Mangasarian, O. L. Sufficiency of exact penalty minimization. (English) Zbl 0559.90072 SIAM J. Control Optimization 23, 30-37 (1985). MSC: 90C30 90C25 49M37 90C55 PDFBibTeX XMLCite \textit{O. L. Mangasarian}, SIAM J. Control Optim. 23, 30--37 (1985; Zbl 0559.90072) Full Text: DOI Link