Rank-One Convex Hulls in

László Székelyhidi
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Submission date: 27. Jul. 2003
Pages: 30
MSC-Numbers: 49J45, 52A30
Keywords and phrases: rank-one convexity
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Abstract:
We study the rank-one convex hull of compact sets . We show that if K contains no two matrices whose difference has rank one, and if K contains no four matrices forming a configuration, then the rank-one convex hull is equal to K. Furthermore, we give a simple numerical criterion for testing for configurations.