Matches in SemOpenAlex for { <https://semopenalex.org/work/W2022250875> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W2022250875 endingPage "309" @default.
- W2022250875 startingPage "289" @default.
- W2022250875 abstract "Quadratic models are of fundamental importance to the efficiency of many optimization algorithms when second derivatives of the objective function influence the required values of the variables. They may be constructed by interpolation to function values for suitable choices of the interpolation points. We consider the Lagrange functions of this technique, because they have some highly useful properties. In particular, they show whether a change to an interpolation point preserves nonsingularity of the interpolation equations, and they provide a bound on the error of the quadratic model. Further, they can be updated efficiently when an interpolation point is moved. These features are explained. Then it is shown that the error bound can control the adjustment of a trust region radius in a way that gives excellent convergence properties in an algorithm for unconstrained minimization calculations. Finally, a convenient procedure for generating the initial interpolation points is described." @default.
- W2022250875 created "2016-06-24" @default.
- W2022250875 creator A5012247591 @default.
- W2022250875 date "2001-01-01" @default.
- W2022250875 modified "2023-09-25" @default.
- W2022250875 title "On the Lagrange functions of quadratic models that are defined by interpolation<sup>*</sup>" @default.
- W2022250875 cites W1451881698 @default.
- W2022250875 cites W1491103246 @default.
- W2022250875 cites W2022772618 @default.
- W2022250875 cites W2051598083 @default.
- W2022250875 cites W2079777091 @default.
- W2022250875 cites W2328965844 @default.
- W2022250875 doi "https://doi.org/10.1080/10556780108805839" @default.
- W2022250875 hasPublicationYear "2001" @default.
- W2022250875 type Work @default.
- W2022250875 sameAs 2022250875 @default.
- W2022250875 citedByCount "35" @default.
- W2022250875 countsByYear W20222508752013 @default.
- W2022250875 countsByYear W20222508752014 @default.
- W2022250875 countsByYear W20222508752015 @default.
- W2022250875 countsByYear W20222508752017 @default.
- W2022250875 countsByYear W20222508752018 @default.
- W2022250875 countsByYear W20222508752019 @default.
- W2022250875 countsByYear W20222508752020 @default.
- W2022250875 countsByYear W20222508752021 @default.
- W2022250875 countsByYear W20222508752022 @default.
- W2022250875 countsByYear W20222508752023 @default.
- W2022250875 crossrefType "journal-article" @default.
- W2022250875 hasAuthorship W2022250875A5012247591 @default.
- W2022250875 hasConcept C105795698 @default.
- W2022250875 hasConcept C121684516 @default.
- W2022250875 hasConcept C126255220 @default.
- W2022250875 hasConcept C129844170 @default.
- W2022250875 hasConcept C134306372 @default.
- W2022250875 hasConcept C137800194 @default.
- W2022250875 hasConcept C14036430 @default.
- W2022250875 hasConcept C143542097 @default.
- W2022250875 hasConcept C147764199 @default.
- W2022250875 hasConcept C162324750 @default.
- W2022250875 hasConcept C203332170 @default.
- W2022250875 hasConcept C205203396 @default.
- W2022250875 hasConcept C207214200 @default.
- W2022250875 hasConcept C2524010 @default.
- W2022250875 hasConcept C2777303404 @default.
- W2022250875 hasConcept C28826006 @default.
- W2022250875 hasConcept C33923547 @default.
- W2022250875 hasConcept C41008148 @default.
- W2022250875 hasConcept C502989409 @default.
- W2022250875 hasConcept C50522688 @default.
- W2022250875 hasConcept C64208722 @default.
- W2022250875 hasConcept C77553402 @default.
- W2022250875 hasConcept C78458016 @default.
- W2022250875 hasConcept C86803240 @default.
- W2022250875 hasConcept C90119067 @default.
- W2022250875 hasConceptScore W2022250875C105795698 @default.
- W2022250875 hasConceptScore W2022250875C121684516 @default.
- W2022250875 hasConceptScore W2022250875C126255220 @default.
- W2022250875 hasConceptScore W2022250875C129844170 @default.
- W2022250875 hasConceptScore W2022250875C134306372 @default.
- W2022250875 hasConceptScore W2022250875C137800194 @default.
- W2022250875 hasConceptScore W2022250875C14036430 @default.
- W2022250875 hasConceptScore W2022250875C143542097 @default.
- W2022250875 hasConceptScore W2022250875C147764199 @default.
- W2022250875 hasConceptScore W2022250875C162324750 @default.
- W2022250875 hasConceptScore W2022250875C203332170 @default.
- W2022250875 hasConceptScore W2022250875C205203396 @default.
- W2022250875 hasConceptScore W2022250875C207214200 @default.
- W2022250875 hasConceptScore W2022250875C2524010 @default.
- W2022250875 hasConceptScore W2022250875C2777303404 @default.
- W2022250875 hasConceptScore W2022250875C28826006 @default.
- W2022250875 hasConceptScore W2022250875C33923547 @default.
- W2022250875 hasConceptScore W2022250875C41008148 @default.
- W2022250875 hasConceptScore W2022250875C502989409 @default.
- W2022250875 hasConceptScore W2022250875C50522688 @default.
- W2022250875 hasConceptScore W2022250875C64208722 @default.
- W2022250875 hasConceptScore W2022250875C77553402 @default.
- W2022250875 hasConceptScore W2022250875C78458016 @default.
- W2022250875 hasConceptScore W2022250875C86803240 @default.
- W2022250875 hasConceptScore W2022250875C90119067 @default.
- W2022250875 hasIssue "1-4" @default.
- W2022250875 hasLocation W20222508751 @default.
- W2022250875 hasOpenAccess W2022250875 @default.
- W2022250875 hasPrimaryLocation W20222508751 @default.
- W2022250875 hasRelatedWork W1489242104 @default.
- W2022250875 hasRelatedWork W1931038999 @default.
- W2022250875 hasRelatedWork W2022250875 @default.
- W2022250875 hasRelatedWork W2358123980 @default.
- W2022250875 hasRelatedWork W2361594888 @default.
- W2022250875 hasRelatedWork W2363879810 @default.
- W2022250875 hasRelatedWork W2384381677 @default.
- W2022250875 hasRelatedWork W2385227025 @default.
- W2022250875 hasRelatedWork W2887829834 @default.
- W2022250875 hasRelatedWork W3204309326 @default.
- W2022250875 hasVolume "16" @default.
- W2022250875 isParatext "false" @default.
- W2022250875 isRetracted "false" @default.
- W2022250875 magId "2022250875" @default.
- W2022250875 workType "article" @default.