Anniversary Volume EXTREMUM PROBLEMS WITH INEQUALITIES AS SUBSIDIARY CONDITIONS Fritz John This paper deals with an extension of. [John ] F. John, “Extremum problems with inequalities as subsidiary conditions”, pp. – in Studies and essays presented to R. Courant on his 60 th. In his seminal paper Extremum problems with inequalities as subsidiary con- ditions  .. They give necessary and sufficient conditions when a convex body.
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Some citation styles add the source URL, which you may not want. Export in format suitable for direct import into delicious. From Wikipedia, the free encyclopedia. The following refinement of John’s original theorem, due to Keith Ball,  gives necessary and sufficient conditions for inqualities John ellipsoid of K to be a wuth unit ball B in R n: Studies and Essays Presented to R.
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The following refinement of John’s original theorem, due to Keith Ball,  gives necessary and sufficient conditions for the John ellipsoid of K to be a closed unit ball B in R n:.
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Courant on his 60th BirthdayJanuary 8,— InFritz John proved  that each convex body in R n contains a unique ellipsoid of maximal volume. Courant Anniversary Volumeextremuk.
Extremum problems with inequalities as subsidiary conditions of aid – quesitt
Thus, each convex body has an affine image whose ellipsoid of maximal volume is the Euclidean unit ball.
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