Results 131 to 140 of about 4,423 (156)

Higher-order pseudoconvex functions.

2007
In terms of n-th order Dini directional derivative with n positive integer we define n-pseudoconvex functions being a generalization of the usual pseudoconvex functions. Again with the n-th order Dini derivative we define n-stationary points, and prove that a point x 0 is a global minimizer of a n-pseudoconvex function f if and only if x 0 is a n ...
IVAN GINCHEV, IVANOV, IVAN GINCHEV
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Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions

Journal of Optimization Theory and Applications, 1981
The purpose of this paper is twofold. Firstly, criteria for quasiconvex and pseudoconvex quadratic functions in nonnegative variables of Cottle, Ferland, and Martos are derived by specializing criteria proved by the author. We do not make use of the concept of positive subdefinite matrices.
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On the convexifiability of pseudoconvex C2-functions

Mathematical Programming, 1980
We present new criteria that characterize functions which are convex transformable by a suitable strictly increasing function. We concentrate on twice continuously differentiable pseudoconvex and strictly pseudoconvex functions, and derive conditions which are both necessary and sufficient for these functions to be convex transformable.
Schaible, Siegfried, Zang, Israel
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On the Pseudoconvexity of a Quadratic Fractional Function

Optimization, 2002
In this paper we give a necessary and sufficient condition for the pseudoconvexity of a function f which is the ratio of a quadratic function over an affine function. The obtained results allow to suggest a simple algorithm to test the pseudoconvexity of f and also to characterize the pseudoconvexity of the sum of a linear and a linear fractional ...
Crouzeix, Jean-Pierre   +2 more
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Second order characterizations of pseudoconvex functions

Mathematical Programming, 1978
Second order characterizations for (strictly) pseudoconvex functions are derived in terms of extended Hessians and bordered determinants. Additional results are presented for quadratic functions.
Avriel, Mordecai, Schaible, Siegfried
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Certain classes of pseudoconvex functionals

Journal of Soviet Mathematics, 1988
Translation from Issled. Prikl. Mat. 2, 63-70 (Russian) (1974; Zbl 0314.26011).
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