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
Abstract
O. du Merle, J.-L. Goffin, J-Ph. Vial
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.
OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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