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Efficient line searching for convex functions

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Author Info
Boef, E. den
Hertog, D. den (Tilburg University, Center for Economic Research)
Abstract

In this paper we propose two new line search methods for convex functions. These new methods exploit the convexity property of the function, contrary to existing methods. The worst method is an improved version of the golden section method. For the second method it is proven that after two evaluations the objective gap is at least halved. The practical efficiency of the methods is shown by applying our methods to a real-life bus and buffer size optimization problem and to several classes of convex functions.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 52.

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Date of creation: 2004
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Handle: RePEc:dgr:kubcen:200452

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Related research
Keywords: convexity;

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  1. Siem, A.Y.D. & Hertog, D. den & Hoffmann, A.L., 2005. "Multivariate convex approximation and least-norm convex data-smoothing," Discussion Paper 132, Tilburg University, Center for Economic Research. [Downloadable!]
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