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Mathematical programming problems with quasi-convex objective functions. (English) Zbl 0256.90046

90C25 Convex programming
90C30 Nonlinear programming
Full Text: DOI
[1] K.J. Arrow and A.C. Enthoven, ”Quasi-concave programming,”Econometrica 29 (1961) 799–800. · Zbl 0104.14302
[2] R.W. Cottle and J.A. Ferland, ”Matrix-theoretic criteria for the quasi-convexity and pseudoconvexity of quadratic functions,” Technical Report No. 70-6, Operations Research House, Stanford University, April 1970;Linear Algebra and Its Applications, to appear.
[3] R.W. Cottle and J.A. Ferland, ”On pseudo-convex functions of nonnegative variables,”Mathematical Programming 1 (1971) 95–101. · Zbl 0227.90040
[4] H.W. Kuhn and A.W. Tucker, ”Nonlinear programming,” in:Proceedings of the second Berkeley Symposium on mathematical statistics and probability, Ed. J. Neyman (University of California Press, Berkeley, California, 1951) pp. 481–493. · Zbl 0044.05903
[5] O.L. Mangasarian, ”Pseudo-convex functions,”SIAM Journal on Control 3 (1965) 281–290. · Zbl 0138.15702
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