Results 121 to 130 of about 306 (149)
On the Pseudoconvexity of the Sum of Two Linear Fractional Functions
, 2005 Charnes and Cooper (1962) reduced a linear fractional program to a linear program with help of a suitable transformation of variables. We show that this transformation preserves pseudoconvexity of a function.
Alberto Cambini +2 more
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Removable sets for pseudoconvexity for weakly smooth boundaries
Mathematische Zeitschrift15 pages ; to appear in Mathematische ZeitschriftWe show that for bounded domains in $\mathbb C^n$ with $\mathcal C^{1,1}$ smooth boundary, if there is a closed set $F$ of $2n-1$-Lebesgue measure $0$ such that $\partial \Omega \setminus F$ is $\mathcal C^
Nguyen Quang Dieu +2 more
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ANNALI DELL'UNIVERSITA' DI FERRARA, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barozzi E. +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barozzi E. +2 more
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On the convexifiability of pseudoconvex C2-functions
Mathematical Programming, 1980We 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.
Siegfried Schaible, Israel Zang
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Quasiconvex, pseudoconvex, and strictly pseudoconvex quadratic functions
Journal of Optimization Theory and Applications, 1981The 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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Regularity at the boundary for v onQ-pseudoconvex domainsonQ-pseudoconvex domains
Journal d'Analyse Mathématique, 2005Solvability for\(\bar \partial \) with regularity at the boundary of a domain Ω ⊂⊂ ℂ n for forms of any degreek≥1 was characterized by pseudoconvexity of ϖΩ in [16]. It is proved here thatq-pseudoconvexity suffices to guarantee solvability of forms of degreek≥q+1.
Luca Baracco, Giuseppe Zampieri
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Boundary Invariants of Pseudoconvex Domains
The Annals of Mathematics, 1984Let \(\Omega \subseteq {\mathbb{C}}^ n\) be a smoothly bounded pseudoconvex domain. A notion of multitype of a point \(P\in \partial \Omega\) is introduced. This term is defined in terms of directional derivatives of a defining function for \(\partial \Omega\).
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Convexifiable pseudoconvex and strictly pseudoconvex C2-functions
2005S. Schaible, I. Zang
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Linear interval parametric approach to testing pseudoconvexity
Journal of Global Optimization, 2020Milan Hladik +2 more
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