John-Ellipsoid

A John ellipsoid is in mathematics, the uniquely determined ellipsoid is contained in a convex body and with this property has maximum ( full -dimensional ) volume. The John ellipsoid is named after the German mathematician Fritz John.

Credentials

  • Keith M. Ball: ellipsoid of maximal volume in convex bodies. In: Geom Dedicata. 41, No. 2, 1992, pp. 241-250. doi: 10.1007/BF00182424.
  • John, Fritz. " Extremum problems with inequalities as subsidiary conditions". Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, 187-204. Interscience Publishers, Inc., New York, NY, 1948.
  • Richard J. Gardner: The Brunn - Minkowski inequality. In: Bull Amer. Math Soc. ( N.S. ). 39, No. 3, 2002, pp. 355-405 (electronic ). doi: 10.1090/S0273-0979-02-00941-2.
  • Geometry
Convex set Digital Object Identifier
443025
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