Approximate Lowner Ellipsoid

Approximates the minimum volume ellipsoid circumscribing a set of points in arbitrary dimensions.

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This program implements the iterative algorithm in Khachiyan's paper "Rounding of Polytopes in the Real Number Model of Computation" to approximate the minimum volume ellipsoid circumscribing a non-degenerate set of points in arbitrary dimensions.

It is basically like Nima Moshtagh's MinVolEllipse except that the resulting ellipse actually circumscribes the input points, and that it is much faster due to its use of more efficient update equations.

Zitieren als

Anye Li (2026). Approximate Lowner Ellipsoid (https://de.mathworks.com/matlabcentral/fileexchange/21930-approximate-lowner-ellipsoid), MATLAB Central File Exchange. Abgerufen .

Quellenangaben

Inspiriert von: Minimum Volume Enclosing Ellipsoid

Kategorien

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Version Veröffentlicht Versionshinweise Action
1.1.0.0

Improved the efficiency of the iteration.
Fixed the termination logic.

1.0.0.0