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Mangasarian, O. L.; Ponstein, J.

Minmax and duality in nonlinear programming. (English) Zbl 0131.18601

J. Math. Anal. Appl. 11, 504-518 (1965).
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Cited in 13 Documents

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operations research
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\textit{O. L. Mangasarian} and \textit{J. Ponstein}, J. Math. Anal. Appl. 11, 504--518 (1965; Zbl 0131.18601)
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References:

[1] Stoer, J., Duality in nonlinear programming and the minimax theorem, Numer. Math., 5, 371-379 (1963) · Zbl 0152.38104
[2] Goldman, A. J.; Tucker, A. W., Theory of linear programming, (Kuhn, H. W.; Tucker, A. W., Linear Inequalities and Related Systems. Linear Inequalities and Related Systems, Annals of Math. Studies, No. 38 (1956), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J), 53-97 · Zbl 0072.37601
[3] Karlin, S., (Mathematical Methods and Theory in Games, Programming and Economics, Vol. I (1959), Addison Wesley: Addison Wesley Reading, Mass) · Zbl 0139.12704
[4] Wolfe, P., A duality theorem for nonlinear programming, Quart. Appl. Math., 19, 239-244 (1961) · Zbl 0109.38406
[5] Hanson, M. A., A duality theorem in nonlinear programming with nonlinear constraints, Austral. J. Statist., 3, 64-72 (1961) · Zbl 0102.15601
[6] Huard, P., Dual programs, IBM J. Res. Develop., 6, 137-139 (1962) · Zbl 0116.12403
[7] Mangasarian, O. L., Duality in nonlinear programming, Quart. Appl. Math., 20, 300-302 (1962) · Zbl 0113.35703
[8] Dorn, W. S., Duality in quadratic programming, Quart. Appl. Math., 18, 155-162 (1960) · Zbl 0101.37003
[9] Dorn, W. S., A duality theorem for convex programs, IBM J. Res. Develop., 4, 407-413 (1960) · Zbl 0095.14503
[10] Kuhn, H. W.; Tucker, A. W., Nonlinear programming, (Proc. 2nd Berkeley Symp. Math. Statist. Probab. (1951), Univ. of Calif. Press: Univ. of Calif. Press Berkeley, Calif), 481-492 · Zbl 0044.05903
[11] Bernstein, B.; Toupin, R. A., Some properties of the Hessian matrix of a strictly convex function, J. reine angew. Math., 210, 65-72 (1962) · Zbl 0107.27701
[12] Cottle, R. W., Symmetric dual quadratic programs, Quart. Appl. Math., 21, 237-243 (1963) · Zbl 0127.36802
[13] Dantzig, G. B.; Eisfnberg, E.; Cottle, R. W., Symmetric Nonlinear Dual Programs, University of California, Operations Research Center Report 30 (1962)
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