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Convex Programming

1987
Abstract This is the second of five chapters on optimal programming (the typical mathematics of economics) and related issues as related to choice making. It introduces convexity conditions, and shows where they have effect, together with Slater's condition, in assuring the existence of a support to the limit function, so providing ...
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Convex programming for disjunctive convex optimization

Mathematical Programming, 1999
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Ceria, Sebastián, Soares, João
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CONVEX: A COMPUTER PROGRAM FOR SOLVING CONVEX PROGRAMS

1970
Abstract : The report describes a computer program implementing the Hartley- Hocking convex programming algorithm. The two parts of this report are, respectively, a description of the Hartley-Hocking method as extracted from the original paper, and the documentation of the computer program.
H. H. Oxspring   +3 more
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Generalized Convex Disjunctive Programming: Nonlinear Convex Hull Relaxation

Computational Optimization and Applications, 2003
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Grossmann, Ignacio E., Lee, Sangbum
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Convex Quadratic Programming Approach

Journal of Global Optimization, 2001
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About Normal Convex Program

Mathematische Operationsforschung und Statistik. Series Optimization, 1982
We will prove that a generalized convex programming problem is normal if and only if a sequence of appropriately disturbed problems converges in value to the value of the undisturbed problem. The generalization consists in admitting for so-called supremal points, a notion closely related to Paeeto-optimal points.
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Reverse convex programming

Applied Mathematics & Optimization, 1980
Reverse convex programs generally have disconnected feasible regions. Basic solutions are defined and properties of the latter and of the convex hull of the feasible region are derived. Solution procedures are discussed and a cutting plane algorithm is developed.
Hillestad, Richard J.   +1 more
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Note on Convex Programming

Journal of the Society for Industrial and Applied Mathematics, 1963
Introduction. In their paper, Newton's Method for Convex Programming and Tchebycheff Approximation [1], E. WV. Cheney and A. A. Goldstein consider the following problem: "Given a convex continuous function F defined on a closed convex subset K of En, obtain (if such exists) a point x of K such that F(x) ?
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E-Convex Sets, E-Convex Functions, and E-Convex Programming

Journal of Optimization Theory and Applications, 1999
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Variant of nontandard convex programming

Siberian Mathematical Journal, 1987
Rules for computing subdifferentials of convex operators with infinitesimal accuracy are derived. Applications to convex minimization problems are considered. The exposition is based on internal set theory, invented by \textit{E. Nelson} [Bull. Am. Math. Soc. 83, 1165-1198 (1977; Zbl 0373.02040)].
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