Matches in SemOpenAlex for { <https://semopenalex.org/work/W4312052787> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W4312052787 abstract "The representation of positive polynomials on a semi-algebraic set in terms of sums of squares is a central question in real algebraic geometry, which the Positivstellensatz answers. In this paper, we study the effective Putinar's Positivestellensatz on a compact basic semialgebraic set $S$ and provide a new proof and new improved bounds on the degree of the representation of positive polynomials. These new bounds involve a parameter $epsilon$ measuring the non-vanishing of the positive function, the constant $c$ and exponent $L$ of a {L}ojasiewicz inequality for the semi-algebraic distance function associated to the inequalities $g = (g_1 ,. .. , g_r)$ defining $S$. They are polynomial in $c$ and $epsilon^{-1}$ with an exponent depending only on $L$. We analyse in details the {L}ojasiewicz inequality when the defining inequalties g satisfy the Constraint Qualification Condition. We show that, in this case, the {L}ojasiewicz exponent $L$ is 1 and we relate the {L}ojasiewicz constant $c$ with the distance of $g$ to the set of singular systems." @default.
- W4312052787 created "2023-01-04" @default.
- W4312052787 creator A5003683965 @default.
- W4312052787 creator A5030724443 @default.
- W4312052787 creator A5038579919 @default.
- W4312052787 date "2022-12-19" @default.
- W4312052787 modified "2023-09-30" @default.
- W4312052787 title "On {L}ojasiewicz Inequalities and the Effective Putinar's Positivstellensatz" @default.
- W4312052787 doi "https://doi.org/10.48550/arxiv.2212.09551" @default.
- W4312052787 hasPublicationYear "2022" @default.
- W4312052787 type Work @default.
- W4312052787 citedByCount "0" @default.
- W4312052787 crossrefType "posted-content" @default.
- W4312052787 hasAuthorship W4312052787A5003683965 @default.
- W4312052787 hasAuthorship W4312052787A5030724443 @default.
- W4312052787 hasAuthorship W4312052787A5038579919 @default.
- W4312052787 hasBestOaLocation W43120527871 @default.
- W4312052787 hasConcept C114614502 @default.
- W4312052787 hasConcept C118615104 @default.
- W4312052787 hasConcept C134306372 @default.
- W4312052787 hasConcept C138885662 @default.
- W4312052787 hasConcept C14036430 @default.
- W4312052787 hasConcept C148607811 @default.
- W4312052787 hasConcept C177264268 @default.
- W4312052787 hasConcept C17744445 @default.
- W4312052787 hasConcept C199360897 @default.
- W4312052787 hasConcept C199539241 @default.
- W4312052787 hasConcept C202444582 @default.
- W4312052787 hasConcept C2524010 @default.
- W4312052787 hasConcept C2731732 @default.
- W4312052787 hasConcept C2776036281 @default.
- W4312052787 hasConcept C2776359362 @default.
- W4312052787 hasConcept C2777027219 @default.
- W4312052787 hasConcept C2780388253 @default.
- W4312052787 hasConcept C33923547 @default.
- W4312052787 hasConcept C41008148 @default.
- W4312052787 hasConcept C41895202 @default.
- W4312052787 hasConcept C69653121 @default.
- W4312052787 hasConcept C78458016 @default.
- W4312052787 hasConcept C86803240 @default.
- W4312052787 hasConcept C90119067 @default.
- W4312052787 hasConcept C9376300 @default.
- W4312052787 hasConcept C94625758 @default.
- W4312052787 hasConceptScore W4312052787C114614502 @default.
- W4312052787 hasConceptScore W4312052787C118615104 @default.
- W4312052787 hasConceptScore W4312052787C134306372 @default.
- W4312052787 hasConceptScore W4312052787C138885662 @default.
- W4312052787 hasConceptScore W4312052787C14036430 @default.
- W4312052787 hasConceptScore W4312052787C148607811 @default.
- W4312052787 hasConceptScore W4312052787C177264268 @default.
- W4312052787 hasConceptScore W4312052787C17744445 @default.
- W4312052787 hasConceptScore W4312052787C199360897 @default.
- W4312052787 hasConceptScore W4312052787C199539241 @default.
- W4312052787 hasConceptScore W4312052787C202444582 @default.
- W4312052787 hasConceptScore W4312052787C2524010 @default.
- W4312052787 hasConceptScore W4312052787C2731732 @default.
- W4312052787 hasConceptScore W4312052787C2776036281 @default.
- W4312052787 hasConceptScore W4312052787C2776359362 @default.
- W4312052787 hasConceptScore W4312052787C2777027219 @default.
- W4312052787 hasConceptScore W4312052787C2780388253 @default.
- W4312052787 hasConceptScore W4312052787C33923547 @default.
- W4312052787 hasConceptScore W4312052787C41008148 @default.
- W4312052787 hasConceptScore W4312052787C41895202 @default.
- W4312052787 hasConceptScore W4312052787C69653121 @default.
- W4312052787 hasConceptScore W4312052787C78458016 @default.
- W4312052787 hasConceptScore W4312052787C86803240 @default.
- W4312052787 hasConceptScore W4312052787C90119067 @default.
- W4312052787 hasConceptScore W4312052787C9376300 @default.
- W4312052787 hasConceptScore W4312052787C94625758 @default.
- W4312052787 hasLocation W43120527871 @default.
- W4312052787 hasOpenAccess W4312052787 @default.
- W4312052787 hasPrimaryLocation W43120527871 @default.
- W4312052787 hasRelatedWork W2008587344 @default.
- W4312052787 hasRelatedWork W2020855749 @default.
- W4312052787 hasRelatedWork W2040697128 @default.
- W4312052787 hasRelatedWork W2045978267 @default.
- W4312052787 hasRelatedWork W2080206629 @default.
- W4312052787 hasRelatedWork W2084459701 @default.
- W4312052787 hasRelatedWork W2369621502 @default.
- W4312052787 hasRelatedWork W2378451925 @default.
- W4312052787 hasRelatedWork W2408624816 @default.
- W4312052787 hasRelatedWork W40264814 @default.
- W4312052787 isParatext "false" @default.
- W4312052787 isRetracted "false" @default.
- W4312052787 workType "article" @default.