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Selected publications of Professor Olvi L. Mangasarian

  1. Olvi L. Mangasarian “Linear and nonlinear separation of patterns by linear programming,” Operations Research, vol. 13, pp. 444-452, 1965.

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  2. Olvi L. Mangasarian “Pseudo-convex functions,” SIAM Journal on Control, vol. 3, pp. 281-290, 1965.

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  3. Olvi L. Mangasarian (with S. Fromovitz) “The Fritz John necessary optimality conditions in the presence of equality constraints,” Journal of Mathematical Analysis and Applications, vol. 17, pp. 34-47, 1967.

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  4. Olvi L. Mangasarian “Multi-surface method of pattern separation,” IEEE Transaction on Information Theory, vol. IT-14, pp. 801-807, 1968.

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  5. Olvi L. Mangasarian (with U.M. Garcia-Palomares) “Superlinearly convergent quasi-Newton algorithms for nonlinearly constrained optimization problems,” Mathematical Programming, vol. 11, pp. 1-13, 1976.

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  6. Olvi L. Mangasarian “Equivalence of the complementarity problem to a system of nonlinear equations,” SIAM Journal on Applied Mathematics, vol. 31, pp. 89-92, 1976.

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  7. Olvi L. Mangasarian “Solution of symmetric linear complementarity problems by iterative methods,” Journal of Optimization Theory and Applications, vol. 22, pp. 465-485, 1977.

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  8. Olvi L. Mangasarian (with S.P. Han) “Exact penalty functions in nonlinear programming,” Mathematical Programming, vol. 17, pp. 251-169, 1979.

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  9. Olvi L. Mangasarian “Locally unique solutions of quadratic programs, linear and nonlinear complementarity problems,” Mathematical Programming, vol. 19, pp. 200-212, 1980.

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  10. Olvi L. Mangasarian “A condition number for linear inequalities and linear programs,” in “Methods of Operations Research,” Proceedings of 6th Symposium on Operations Research, Augsburg, September 1981, G. Bamberg and O. Opitz (Eds.), Verlagsgruppe Athenaum/Hain/Scriptor/Hanstein: Konigstein, 1981, pp. 3-15.

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  11. Olvi L. Mangasarian “A condition number for differentiable convex inequalities,” Mathematics of Operations Research, vol. 10, pp. 175-179, 1985.

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  12. Olvi L. Mangasarian (with T.H. Shiau) “A variable-complexity norm maximization problem,” SIAM Journal on Algebraic and Discrete Methods, vol. 7, pp. 455-461, 1986.

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  13. Olvi L. Mangasarian (with T.H. Shiau) “Error bounds for monotone linear complementarity problems,” Mathematical Programming, vol. 36, pp. 81-89, 1986.

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  14. Olvi L. Mangasarian “A simple characterization of solution sets of convex programs,” Operations Research Letters, vol. 7, pp. 21-26, 1988.

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  15. Olvi L. Mangasarian (with R. De Leone) “Serial and parallel solution of large scale linear programs by augmented Lagrangian successive overrelaxation,” in Optimization, Parallel Processing and Applications, A. Kurzhanski, K. Neumann, and D. Pallaschke (Eds.), Lecture Notes in Economics and Mathematical Systems, vol. 304, Springer-Verlag, Berlin, 1988, pp. 103-124.

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  16. Olvi L. Mangasarian (with R. Setiono and W.H. Wolberg) “Pattern recognition via linear programming: Theory and application to medical diagnosis,” in Large-Scale Numerical Optimization, T.F. Coleman and Y. Li (Eds.), SIAM Publications,: Philadelphia, 1990, pp. 22-30.

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  17. Olvi L. Mangasarian (with M.C. Ferris) “Minimum principle sufficiency,” Mathematical Programming, vol. B 57, pp. 1-14, 1992.

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  18. Olvi L. Mangasarian (with K.P. Bennett) “Neural network training via linear programming,” in Advances in Optimization and Parallel Computing, P.M. Pardalos (Ed.), North Holland: Amsterdam, 1992, pp. 56-67.

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  19. Olvi L. Mangasarian (with K.P. Bennett) “Robust linear programming discrimination of two linearly inseparable sets,” Optimization Methods and Software, vol. 1, pp. 23-34, 1992.

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  20. Olvi L. Mangasarian (with M.V. Solodov) “Nonlinear complementarity as unconstrained and constrained minimization,” Mathematical Programming, Series B, vol. 62, pp. 277-297, 1993.

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  21. Olvi L. Mangasarian (with M.V. Solodov) “Serial and parallel backpropagation convergence via nonmonotone perturbed minimization,” Optimization Methods and Software, vol. 4, pp. 103-116, 1994.

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  22. Olvi L. Mangasarian (with M.C. Ferris) “Parallel variable distribution,” SIAM Journal on Optimization, vol. 4, pp. 815-832, 1994.

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  23. Olvi L. Mangasarian “Misclassification minimization,” Journal of Global Optimization, vol. 5, pp. 309-323, 1994.

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  24. Olvi L. Mangasarian (with J.S. Pang) “The extended linear complementarity problem,” SIAM Journal on Matrix Analysis and Applications, vol. 16, pp. 359-368, 1995.

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  25. Olvi L. Mangasarian (with W.H. Wolberg and W.N. Street) “Breast cancer diagnosis and prognosis via linear programming,” Operations Research, vol. 43, pp. 570-577, 1995.

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  26. Olvi L. Mangasarian (with C. Chen) “A class of smoothing functions for nonlinear and mixed complementarity problems,” Computational Optimization and Applications, vol. 5, pp. 97-138, 1996.

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  27. Olvi L. Mangasarian (with P.S. Bradley and W.N. Street) “Feature selection via mathematical programming,” INFORMS Journal on Computing, vol. 10, pp. 209-217, 1998.

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  28. Olvi L. Mangasarian “Mathematical programming in data mining,” Journal of Data Mining and Knowledge Discovery, vol. 1, pp. 183-201, 1997.

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  29. Olvi L. Mangasarian (with P.S. Bradley and J.B. Rosen) “Parsimonious least norm approximation,” Computational Optimization and Applications, vol. 11, pp. 5-21, 1998.

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  30. Olvi L. Mangasarian (with P.S. Bradley) “Massive data discrimination via linear support vector machines,” Mathematical Programming Technical Report 98-05, May 1998.

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Authors and Affiliations

  1. Baltimore, Maryland

    Jong-Shi Pang

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  1. Jong-Shi Pang
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Pang, JS. Guest Editorial. Computational Optimization and Applications 13, 5–12 (1999). https://doi.org/10.1023/A:1008692403254

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