John Ellipsoid

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

credentials

  • Keith M. Ball: Ellipsoids of maximal volume in convex bodies . In: Geom. Dedicata . 41, No. 2, 1992, ISSN  0046-5755 , 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. (NS) . 39, No. 3, 2002, ISSN  0273-0979 , pp. 355-405 (electronic). doi : 10.1090 / S0273-0979-02-00941-2 .