Geodesic
Optimization of Polynomial Functions
Canadian mathematical bulletin, Tome 46 (2003) no. 4, pp. 575-587

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DOI

This paper develops a refinement of Lasserre's algorithm for optimizing a polynomial on a basic closed semialgebraic set via semidefinite programming and addresses an open question concerning the duality gap. It is shown that, under certain natural stability assumptions, the problem of optimization on a basic closed set reduces to the compact case.
DOI : 10.4153/CMB-2003-054-7
Mots-clés : 14P10, 46L05, 90C22 
Marshall, M. Optimization of Polynomial Functions. Canadian mathematical bulletin, Tome 46 (2003) no. 4, pp. 575-587. doi: 10.4153/CMB-2003-054-7
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     title = {Optimization of {Polynomial} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {575--587},
     year = {2003},
     volume = {46},
     number = {4},
     doi = {10.4153/CMB-2003-054-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-054-7/}
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