1982Mathematics of Operations ResearchRequires access

On Minimum Volume Ellipsoids Containing Part of a Given Ellipsoid

Michael J. Todd

Open publisher page 36 citations

Abstract

We give formulae for minimum volume ellipsoids that contain one-sided or two-sided cuts of a given ellipsoid. These formulae may be of use in the recent ellipsoid algorithms for convex and linear programming.

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We give formulae for minimum volume ellipsoids that contain one-sided or two-sided cuts of a given ellipsoid. These formulae may be of use in the recent ellipsoid algorithms for convex and linear programming.

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OpenAlex reports 36 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We give formulae for minimum volume ellipsoids that contain one-sided or two-sided cuts of a given ellipsoid. These formulae may be of use in the recent ellipsoid algorithms for convex and linear programming.

Key concepts: Ellipsoid, Ellipsoid method, Mathematics, Volume (thermodynamics), Regular polygon, Linear programming, Mathematical optimization, Convex optimization

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