Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300976546> ?p ?o ?g. }
Showing items 1 to 53 of
53
with 100 items per page.
- W4300976546 abstract "Smale's alpha-theory certifies that Newton iterations will converge quadratically to a solution of a square system of analytic functions based on the Newton residual and all higher order derivatives at the given point. Shub and Smale presented a bound for the higher order derivatives of a system of polynomial equations based in part on the degrees of the equations. For a given system of polynomial-exponential equations, we consider a related system of polynomial-exponential equations and provide a bound on the higher order derivatives of this related system. This bound yields a complete algorithm for certifying solutions to polynomial-exponential systems, which is implemented in alphaCertified. Examples are presented to demonstrate this certification algorithm." @default.
- W4300976546 created "2022-10-04" @default.
- W4300976546 creator A5007214938 @default.
- W4300976546 creator A5059697607 @default.
- W4300976546 date "2011-09-21" @default.
- W4300976546 modified "2023-09-27" @default.
- W4300976546 title "Certifying solutions to square systems of polynomial-exponential equations" @default.
- W4300976546 doi "https://doi.org/10.48550/arxiv.1109.4547" @default.
- W4300976546 hasPublicationYear "2011" @default.
- W4300976546 type Work @default.
- W4300976546 citedByCount "0" @default.
- W4300976546 crossrefType "posted-content" @default.
- W4300976546 hasAuthorship W4300976546A5007214938 @default.
- W4300976546 hasAuthorship W4300976546A5059697607 @default.
- W4300976546 hasBestOaLocation W43009765461 @default.
- W4300976546 hasConcept C105335568 @default.
- W4300976546 hasConcept C134306372 @default.
- W4300976546 hasConcept C135692309 @default.
- W4300976546 hasConcept C151376022 @default.
- W4300976546 hasConcept C195956108 @default.
- W4300976546 hasConcept C2524010 @default.
- W4300976546 hasConcept C28826006 @default.
- W4300976546 hasConcept C33923547 @default.
- W4300976546 hasConcept C85384003 @default.
- W4300976546 hasConcept C90119067 @default.
- W4300976546 hasConceptScore W4300976546C105335568 @default.
- W4300976546 hasConceptScore W4300976546C134306372 @default.
- W4300976546 hasConceptScore W4300976546C135692309 @default.
- W4300976546 hasConceptScore W4300976546C151376022 @default.
- W4300976546 hasConceptScore W4300976546C195956108 @default.
- W4300976546 hasConceptScore W4300976546C2524010 @default.
- W4300976546 hasConceptScore W4300976546C28826006 @default.
- W4300976546 hasConceptScore W4300976546C33923547 @default.
- W4300976546 hasConceptScore W4300976546C85384003 @default.
- W4300976546 hasConceptScore W4300976546C90119067 @default.
- W4300976546 hasLocation W43009765461 @default.
- W4300976546 hasLocation W43009765462 @default.
- W4300976546 hasLocation W43009765463 @default.
- W4300976546 hasOpenAccess W4300976546 @default.
- W4300976546 hasPrimaryLocation W43009765461 @default.
- W4300976546 hasRelatedWork W2034969324 @default.
- W4300976546 hasRelatedWork W2950526643 @default.
- W4300976546 hasRelatedWork W2963752298 @default.
- W4300976546 hasRelatedWork W3045470621 @default.
- W4300976546 hasRelatedWork W4232388855 @default.
- W4300976546 hasRelatedWork W4287621395 @default.
- W4300976546 hasRelatedWork W4293659208 @default.
- W4300976546 hasRelatedWork W4300976546 @default.
- W4300976546 hasRelatedWork W4360998514 @default.
- W4300976546 hasRelatedWork W4381384462 @default.
- W4300976546 isParatext "false" @default.
- W4300976546 isRetracted "false" @default.
- W4300976546 workType "article" @default.