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The convexity principle and its applications

The convexity principle and its applications Recently [1, 2] the new convexity principle has been validated. It states that a nonlinear image of a small ball in a Hilbert space is convex, provided that the map is C1,1 and the center of the ball is a regular point of the map. This result has numerous applications in linear algebra, optimization and control. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

The convexity principle and its applications

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Sociedade Brasileira de Matemática
Subject
Mathematics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-003-0003-6
Publisher site
See Article on Publisher Site

Abstract

Recently [1, 2] the new convexity principle has been validated. It states that a nonlinear image of a small ball in a Hilbert space is convex, provided that the map is C1,1 and the center of the ball is a regular point of the map. This result has numerous applications in linear algebra, optimization and control.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Jan 1, 2003

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