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On the different convex hulls of sets involving singular values

Published online by Cambridge University Press:  14 November 2011

B. Dacorogna  and
C. Tanteri
B. Dacorogna
Affiliation:
Département de Mathématiques, Ecole Polytechnique Fédérate de Lausanne, CH 1015 Lausanne, Suisse e-mail: Bernard.Dacorogna@epfl.ch
C. Tanteri
Affiliation:
Département de Mathématiques, Ecole Polytechnique Fédérate de Lausanne, CH 1015 Lausanne, Suisse e-mail: Chiara.Tanteri@epfl.ch
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Extract

We give a representation formula for the convex, polyconvex and rank one convex hulls of a set of n × n matrices with prescribed singular values.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 6 , 1998 , pp. 1261 - 1280
Copyright
Copyright © Royal Society of Edinburgh 1998

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