1996•RePEc: Research Papers in EconomicsRequires access

On the Comparative Behaviour of Kelley's Cutting Plane Method and the Analytic Center Cutting Plane Method

O. du Merle, J.-L. Goffin, J-Ph. Vial

Open publisher page 7 citations

Abstract

In this paper, we explore a weakness of a specific implementation of the analytic center cutting plane method applied to convex optimization problems, which may lead to weaker results that Kelley's cutting plane method. Improvements to the analytic center cutting plane method are suggested.

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What this paper is about

In this paper, we explore a weakness of a specific implementation of the analytic center cutting plane method applied to convex optimization problems, which may lead to weaker results that Kelley's cutting plane method. Improvements to the analytic center cutting plane method are suggested.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we explore a weakness of a specific implementation of the analytic center cutting plane method applied to convex optimization problems, which may lead to weaker results that Kelley's cutting plane method. Improvements to the analytic center cutting plane method are suggested.

Key concepts: Cutting-plane method, Plane (geometry), Center (category theory), Regular polygon, Mathematics, Geometry, Mathematical optimization, Chemistry

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