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Convex envelopes for ray-concave functions (Q2080818)

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Language	Label	Description	Also known as
English	Convex envelopes for ray-concave functions	scientific article

Statements

scholarly article

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Convex envelopes for ray-concave functions (English)

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Javiera Barrera

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Optimization Letters

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publication date

11 October 2022

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full work available at URL

https://arxiv.org/abs/2105.03532

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zbMATH Keywords

convex envelopes

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nonlinear programming

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convex optimization

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MaRDI profile type

MaRDI publication profile

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Jointly Constrained Biconvex Programming

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Computable representations for convex hulls of low-dimensional quadratic forms

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Multiterm polyhedral relaxations for nonconvex, quadratically constrained quadratic programs

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On the construction of convex and concave envelope formulas for bilinear and fractional functions on quadrilaterals

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The Convex Envelope of (<i>n</i>–1)-Convex Functions

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Relaxations of factorable functions with convex-transformable intermediates

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Convex envelopes of products of convex and component-wise concave functions

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Convex envelopes generated from finitely many compact convex sets

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A branch-and-bound algorithm for maximizing the sum of several linear ratios

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Some characterizations of convex functions

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Convex envelopes of monomials of odd degree

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A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs

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Polyhedral subdivisions and functional forms for the convex envelopes of bilinear, fractional and other bivariate functions over general polytopes

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Convex envelopes of bivariate functions through the solution of KKT systems

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Convex envelope of bivariate cubic functions over rectangular regions

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On convex envelopes for bivariate functions over polytopes

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Some results on the strength of relaxations of multilinear functions

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Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems

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Trilinear monomials with mixed sign domains: Facets of the convex and concave envelopes

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Convex envelopes for edge-concave functions

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Using Two-Dimensional Projections for Stronger Separation and Propagation of Bilinear Terms

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A convex envelope formula for multilinear functions

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Analysis of bounds for multilinear functions

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A Linear-Time Algorithm for Computing <i>K</i>-Terminal Reliability in Series-Parallel Networks

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Convex envelopes of multilinear functions over a unit hypercube and over special discrete sets

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An explicit characterization of the convex envelope of a bivariate bilinear function over special polytopes

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Existence and sum decomposition of vertex polyhedral convex envelopes

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Explicit convex and concave envelopes through polyhedral subdivisions

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Semidefinite relaxations of fractional programs via novel convexification techniques

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A branch and contract algorithm for problems with concave univariate, bilinear and linear fractional terms

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Identifiers

zbMATH Open document ID

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10.1007/s11590-022-01852-2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2080818

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