Title of article
Certificates of convexity for basic semi-algebraic sets
Author/Authors
Lasserre، نويسنده , , J.B.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
5
From page
912
To page
916
Abstract
We provide two certificates of convexity for arbitrary basic closed semi-algebraic sets of R n . The first one is based on a necessary and sufficient condition whereas the second one is based on a sufficient (but simpler) condition only. Both certificates are obtained from any feasible solution of a related semidefinite program and so, in principle, can be obtained numerically (however, up to machine precision).
Keywords
semidefinite programming , computational geometry , convexity , Basic semi-algebraic sets
Journal title
Applied Mathematics Letters
Serial Year
2010
Journal title
Applied Mathematics Letters
Record number
1527064
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