Results 111 to 120 of about 306 (149)
WHAT IS...a Pseudoconvex Domain?
Notices of the American Mathematical Society, 2012 openaire +1 more source
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 ...
Alberto Cambini +2 more
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Journal of Applied Analysis, 2007 Summary: The present paper provides first and second-order characterizations of a radially lower semicontinuous strictly pseudoconvex function \(f: X \to \mathbb R\) defined on a convex set \(X\) in the real Euclidean space \(\mathbb R^n\) in terms of the lower Dini-directional derivative.
Vsevolod I Ivanov
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On the pseudoconvexity and pseudolinearity of some classes of fractional functions [PDF]
Optimization, 2007 The aim of the article is to study the pseudoconvexity (pseudoconcavity) of the ratio between a quadratic function and the square of an affine function.
Laura Carosi, L Martein
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Pseudoconvexity on a closed convex set: an application to a wide class of generalized fractional functions [PDF]
Decisions in Economics and Finance, 2017 The issue of the pseudoconvexity of a function on a closed set is addressed. It is proved that if a function has no critical points on the boundary of a convex set, then the pseudoconvexity on the interior guarantees the pseudoconvexity on the closure of
Laura Carosi
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Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives [PDF]
Optimization Letters, 2020 For a C-2-smooth function on a finite-dimensional space, a necessary condition for its quasiconvexity is the positive semidefiniteness of its Hessian matrix on the subspace orthogonal to its gradient, whereas a sufficient condition for its strict ...
Pham Duy Khanh +2 more
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