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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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:. Some citation provlems add the source URL, which you may not want.
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Extremum problems with inequalities as subsidiary conditions of the eye
He also gave necessary and sufficient conditions for this ellipsoid to be a ball. Convex geometry Multi-dimensional geometry Geometry stubs. By clicking “OK” you acknowledge that you have the right to distribute this file. You can also specify a CiteULike article id. Groups Connections Recommendations Neighbours Watchlist.
The dimension of almost spherical sections of convex bodies
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John ellipsoid – Wikipedia
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: Journal of Intelligent and Robotic Systems. Export in format suitable for direct import into delicious. It helps undergraduates and postgraduates. Register and you can start organising your references online. To insert individual citation into a bibliography in a word-processor, select your preferred citation style below and drag-and-drop it into the document.
Thus, each convex body has an affine image whose ellipsoid of maximal volume is the Euclidean unit ball.