A bounded degree SOS hierarchy for polynomial optimization
We consider a new hierarchy of semidefinite relaxations for the general polynomial optimization problem (P):f∗=min{f(x):x∈K} on a compact basic semi-algebraic set K⊂Rn. This hierarchy combines some advantages of the standard LP-relaxations associated with Krivine’s positivity certificate and some ad...
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Main Authors: | JeanB. Lasserre, Kim-Chuan Toh, Shouguang Yang |
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Format: | article |
Language: | EN |
Published: |
Elsevier
2017
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Online Access: | https://doaj.org/article/f7a832f91ebf494a86d3f951e8a7e8fe |
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