Matches in SemOpenAlex for { <https://semopenalex.org/work/W2991395742> ?p ?o ?g. }
- W2991395742 abstract "In a first contribution, we revisit two certificates of positivity on (possibly non-compact) basic semialgebraic sets due to Putinar and Vasilescu [Comptes Rendus de l'Academie des Sciences-Series I-Mathematics, 328(6) (1999) pp. 495-499]. We use Jacobi's technique from [Mathematische Zeitschrift, 237(2) (2001) pp. 259-273] to provide an alternative proof with an effective degree bound on the sums of squares multipliers in such certificates. As a consequence, it allows one to define a hierarchy of semidefinite relaxations for a general polynomial optimization problem. Convergence of this hierarchy to a neighborhood of the optimal value as well as strong duality and analysis are guaranteed. In a second contribution, we introduce a new numerical method for solving systems of polynomial inequalities and equalities with possibly uncountably many solutions. As a bonus, one may apply this method to obtain approximate global optimizers in polynomial optimization." @default.
- W2991395742 created "2019-12-05" @default.
- W2991395742 creator A5006670993 @default.
- W2991395742 creator A5066095974 @default.
- W2991395742 creator A5066109597 @default.
- W2991395742 date "2019-11-26" @default.
- W2991395742 modified "2023-09-30" @default.
- W2991395742 title "Positivity certificates and polynomial optimization on non-compact semialgebraic sets" @default.
- W2991395742 cites W1120782848 @default.
- W2991395742 cites W1543064558 @default.
- W2991395742 cites W1584486196 @default.
- W2991395742 cites W1591868040 @default.
- W2991395742 cites W1679815041 @default.
- W2991395742 cites W1852756082 @default.
- W2991395742 cites W1964603869 @default.
- W2991395742 cites W1966518517 @default.
- W2991395742 cites W1967344706 @default.
- W2991395742 cites W1972537951 @default.
- W2991395742 cites W1981437696 @default.
- W2991395742 cites W1992008263 @default.
- W2991395742 cites W1994768592 @default.
- W2991395742 cites W2001098796 @default.
- W2991395742 cites W2016389104 @default.
- W2991395742 cites W2019716938 @default.
- W2991395742 cites W2036576958 @default.
- W2991395742 cites W2049225870 @default.
- W2991395742 cites W2051634716 @default.
- W2991395742 cites W2057279466 @default.
- W2991395742 cites W2063194632 @default.
- W2991395742 cites W2065053468 @default.
- W2991395742 cites W2071040500 @default.
- W2991395742 cites W2071727942 @default.
- W2991395742 cites W2071940220 @default.
- W2991395742 cites W2077162779 @default.
- W2991395742 cites W2083449425 @default.
- W2991395742 cites W2085352155 @default.
- W2991395742 cites W2085820407 @default.
- W2991395742 cites W2094995801 @default.
- W2991395742 cites W2133404041 @default.
- W2991395742 cites W2151134145 @default.
- W2991395742 cites W2165281529 @default.
- W2991395742 cites W2296319761 @default.
- W2991395742 cites W2320769111 @default.
- W2991395742 cites W2325692311 @default.
- W2991395742 cites W2337272624 @default.
- W2991395742 cites W2498144272 @default.
- W2991395742 cites W2738131850 @default.
- W2991395742 cites W2760988339 @default.
- W2991395742 cites W2789189302 @default.
- W2991395742 cites W2967626315 @default.
- W2991395742 cites W2970289859 @default.
- W2991395742 cites W99708544 @default.
- W2991395742 hasPublicationYear "2019" @default.
- W2991395742 type Work @default.
- W2991395742 sameAs 2991395742 @default.
- W2991395742 citedByCount "0" @default.
- W2991395742 crossrefType "posted-content" @default.
- W2991395742 hasAuthorship W2991395742A5006670993 @default.
- W2991395742 hasAuthorship W2991395742A5066095974 @default.
- W2991395742 hasAuthorship W2991395742A5066109597 @default.
- W2991395742 hasConcept C101901036 @default.
- W2991395742 hasConcept C105795698 @default.
- W2991395742 hasConcept C118615104 @default.
- W2991395742 hasConcept C121332964 @default.
- W2991395742 hasConcept C126255220 @default.
- W2991395742 hasConcept C134306372 @default.
- W2991395742 hasConcept C136119220 @default.
- W2991395742 hasConcept C162324750 @default.
- W2991395742 hasConcept C202444582 @default.
- W2991395742 hasConcept C24890656 @default.
- W2991395742 hasConcept C2775997480 @default.
- W2991395742 hasConcept C2777303404 @default.
- W2991395742 hasConcept C2778023678 @default.
- W2991395742 hasConcept C28826006 @default.
- W2991395742 hasConcept C31170391 @default.
- W2991395742 hasConcept C33923547 @default.
- W2991395742 hasConcept C34447519 @default.
- W2991395742 hasConcept C49847556 @default.
- W2991395742 hasConcept C50522688 @default.
- W2991395742 hasConcept C90119067 @default.
- W2991395742 hasConceptScore W2991395742C101901036 @default.
- W2991395742 hasConceptScore W2991395742C105795698 @default.
- W2991395742 hasConceptScore W2991395742C118615104 @default.
- W2991395742 hasConceptScore W2991395742C121332964 @default.
- W2991395742 hasConceptScore W2991395742C126255220 @default.
- W2991395742 hasConceptScore W2991395742C134306372 @default.
- W2991395742 hasConceptScore W2991395742C136119220 @default.
- W2991395742 hasConceptScore W2991395742C162324750 @default.
- W2991395742 hasConceptScore W2991395742C202444582 @default.
- W2991395742 hasConceptScore W2991395742C24890656 @default.
- W2991395742 hasConceptScore W2991395742C2775997480 @default.
- W2991395742 hasConceptScore W2991395742C2777303404 @default.
- W2991395742 hasConceptScore W2991395742C2778023678 @default.
- W2991395742 hasConceptScore W2991395742C28826006 @default.
- W2991395742 hasConceptScore W2991395742C31170391 @default.
- W2991395742 hasConceptScore W2991395742C33923547 @default.
- W2991395742 hasConceptScore W2991395742C34447519 @default.
- W2991395742 hasConceptScore W2991395742C49847556 @default.
- W2991395742 hasConceptScore W2991395742C50522688 @default.
- W2991395742 hasConceptScore W2991395742C90119067 @default.