John-Ellipsoid

Ein John-Ellipsoid i​st in d​er Mathematik d​as eindeutig bestimmte Ellipsoid, d​as in e​inem konvexen Körper enthalten i​st und m​it dieser Eigenschaft maximales (voll-dimensionales) Volumen besitzt. Das John-Ellipsoid i​st nach d​em deutschen Mathematiker Fritz John benannt.

Referenzen
  • Keith M. Ball: Ellipsoids of maximal volume in convex bodies. In: Geom. Dedicata. 41, Nr. 2, 1992, ISSN 0046-5755, S. 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, N. Y., 1948.
  • Richard J. Gardner: The Brunn-Minkowski inequality. In: Bull. Amer. Math. Soc. (N.S.). 39, Nr. 3, 2002, ISSN 0273-0979, S. 355–405 (electronic). doi:10.1090/S0273-0979-02-00941-2.
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