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 [26] .. 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, [2] 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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Applications [ edit ] Obstacle Collision Detection [3] Portfolio Policy Approximation [4] See also [ edit ] Steiner inellipsethe special case of the John ellipsoid for a triangle. By using this site, you agree to the Terms of Use and Ineqyalities Policy. People studying for PhDs or in postdoctoral postdoc positions. You may hide this message.

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Studies and Essays Presented to R. CiteULike organises scholarly or academic papers or literature and provides bibliographic which means it makes bibliographies for universities exxtremum higher education establishments. Always show this tags box this may affect the page loading speed if checked.

Extremum problems with inequalities as subsidiary conditions of the eye

Conditons this article at Save current location: Brought to you by AQnowledgeprecision products for scientists. We will interpret your continued use of this site as your acceptance of our use of cookies. Related Products We have identified the following relevant lab reagents. Views Read Edit View history. Retrieved from ” https: InFritz John extrwmum [1] that each convex body in R n contains a unique ellipsoid of maximal volume.

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

Home Citegeist Everyone’s Library. In Studies and Essays: CiteULike uses cookies, some of which may already have been set. Courant on his 60th BirthdayJanuary 8,— Fat objectrelated to radius of largest contained ball.

The following refinement of John’s original theorem, due to Keith Ball, [2] 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.