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Global minimum point of a convex function. (English) Zbl 0778.65046

The existence of a unique global minimizer of a strictly convex function is proved under some smoothness conditions.
Reviewer: J.Guddat (Berlin)

MSC:

65K05 Numerical mathematical programming methods
90C25 Convex programming
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References:

[1] Garcia, C. B.; Zangwill, W. I., Pathways to Solution, Fixed Points and Equilibria, Prentice-Hall Series in Computational Mathematics (1981), Prentice-Hall: Prentice-Hall London · Zbl 0512.90070
[2] Roberts, A. W.; Varberg, D. E., Convex functions, Pure Appl. Math., 57 (1973) · Zbl 0289.26012
[3] Rockafellar, R. T., Convex Analysis, Princeton Mathematical Series, 28 (1970), Princeton University Press: Princeton University Press Princeton, New Jersey · Zbl 0229.90020
[4] Petrovski, I. G., Ordinary Differential Equations (1966), Dover Publications: Dover Publications New York
[5] Soriano, J. M., Sobre las existencia y el cálculo de ceros de funciones regulares, Rev. Real Acad. Cienc. Exact. Fis. Natur. Madrid, LXXXII, 3-4, 523-531 (1988)
[6] Soriano, J. M., A special type of triangulation in numerical nonlinear analysis, Collect. Math., 41, 1, 45-58 (1990) · Zbl 0743.65050
[7] Zeidler, E., Nonlinear Functional Analysis and its Applications (1985), Springer-Verlag: Springer-Verlag New York
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