Matches in SemOpenAlex for { <https://semopenalex.org/work/W2055041283> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2055041283 endingPage "A1416" @default.
- W2055041283 startingPage "A1398" @default.
- W2055041283 abstract "In many scientific computing applications involving nonlinear systems or methods of optimization, a sequence of Jacobian or Hessian matrices is required. Automatic differentiation (AD) technology can be used to accurately determine these matrices, and it is well known that if these matrices exhibit a sparsity pattern (for all iterates), then not only can AD take advantage of this sparsity for significant efficiency gains, AD can also determine the sparsity pattern itself, with some additional work in the first iteration. Practical nonlinear systems and optimization problems often exhibit patterns beyond just “zero-nonzero.” For example, some elements may be duplicates of other elements at all iterates; some elements may be constant (not necessarily zero) for all iterates. Here we show how the popular graph-coloring approach to AD can be adapted to account for these cases as well, with resulting gains in efficiency. In addition, we address the problem of determining, by AD technology, a prescribed set of the entries of the Jacobian (or Hessian, in the optimization context) matrix." @default.
- W2055041283 created "2016-06-24" @default.
- W2055041283 creator A5028490354 @default.
- W2055041283 creator A5085231322 @default.
- W2055041283 date "2013-01-01" @default.
- W2055041283 modified "2023-10-17" @default.
- W2055041283 title "Efficient (Partial) Determination of Derivative Matrices via Automatic Differentiation" @default.
- W2055041283 cites W1963564197 @default.
- W2055041283 cites W2001395129 @default.
- W2055041283 cites W2044733003 @default.
- W2055041283 cites W2067381027 @default.
- W2055041283 cites W2124855066 @default.
- W2055041283 cites W2171679443 @default.
- W2055041283 cites W4239524026 @default.
- W2055041283 doi "https://doi.org/10.1137/11085061x" @default.
- W2055041283 hasPublicationYear "2013" @default.
- W2055041283 type Work @default.
- W2055041283 sameAs 2055041283 @default.
- W2055041283 citedByCount "4" @default.
- W2055041283 countsByYear W20550412832014 @default.
- W2055041283 countsByYear W20550412832016 @default.
- W2055041283 countsByYear W20550412832017 @default.
- W2055041283 countsByYear W20550412832023 @default.
- W2055041283 crossrefType "journal-article" @default.
- W2055041283 hasAuthorship W2055041283A5028490354 @default.
- W2055041283 hasAuthorship W2055041283A5085231322 @default.
- W2055041283 hasBestOaLocation W20550412832 @default.
- W2055041283 hasConcept C106487976 @default.
- W2055041283 hasConcept C11413529 @default.
- W2055041283 hasConcept C118615104 @default.
- W2055041283 hasConcept C121332964 @default.
- W2055041283 hasConcept C126255220 @default.
- W2055041283 hasConcept C132525143 @default.
- W2055041283 hasConcept C133512626 @default.
- W2055041283 hasConcept C134306372 @default.
- W2055041283 hasConcept C137836250 @default.
- W2055041283 hasConcept C140479938 @default.
- W2055041283 hasConcept C151730666 @default.
- W2055041283 hasConcept C158622935 @default.
- W2055041283 hasConcept C159985019 @default.
- W2055041283 hasConcept C192562407 @default.
- W2055041283 hasConcept C200331156 @default.
- W2055041283 hasConcept C203616005 @default.
- W2055041283 hasConcept C2778112365 @default.
- W2055041283 hasConcept C2779343474 @default.
- W2055041283 hasConcept C28826006 @default.
- W2055041283 hasConcept C33923547 @default.
- W2055041283 hasConcept C45374587 @default.
- W2055041283 hasConcept C54355233 @default.
- W2055041283 hasConcept C62520636 @default.
- W2055041283 hasConcept C86803240 @default.
- W2055041283 hasConceptScore W2055041283C106487976 @default.
- W2055041283 hasConceptScore W2055041283C11413529 @default.
- W2055041283 hasConceptScore W2055041283C118615104 @default.
- W2055041283 hasConceptScore W2055041283C121332964 @default.
- W2055041283 hasConceptScore W2055041283C126255220 @default.
- W2055041283 hasConceptScore W2055041283C132525143 @default.
- W2055041283 hasConceptScore W2055041283C133512626 @default.
- W2055041283 hasConceptScore W2055041283C134306372 @default.
- W2055041283 hasConceptScore W2055041283C137836250 @default.
- W2055041283 hasConceptScore W2055041283C140479938 @default.
- W2055041283 hasConceptScore W2055041283C151730666 @default.
- W2055041283 hasConceptScore W2055041283C158622935 @default.
- W2055041283 hasConceptScore W2055041283C159985019 @default.
- W2055041283 hasConceptScore W2055041283C192562407 @default.
- W2055041283 hasConceptScore W2055041283C200331156 @default.
- W2055041283 hasConceptScore W2055041283C203616005 @default.
- W2055041283 hasConceptScore W2055041283C2778112365 @default.
- W2055041283 hasConceptScore W2055041283C2779343474 @default.
- W2055041283 hasConceptScore W2055041283C28826006 @default.
- W2055041283 hasConceptScore W2055041283C33923547 @default.
- W2055041283 hasConceptScore W2055041283C45374587 @default.
- W2055041283 hasConceptScore W2055041283C54355233 @default.
- W2055041283 hasConceptScore W2055041283C62520636 @default.
- W2055041283 hasConceptScore W2055041283C86803240 @default.
- W2055041283 hasIssue "3" @default.
- W2055041283 hasLocation W20550412831 @default.
- W2055041283 hasLocation W20550412832 @default.
- W2055041283 hasOpenAccess W2055041283 @default.
- W2055041283 hasPrimaryLocation W20550412831 @default.
- W2055041283 hasRelatedWork W1543341614 @default.
- W2055041283 hasRelatedWork W172684860 @default.
- W2055041283 hasRelatedWork W2001395129 @default.
- W2055041283 hasRelatedWork W2020128550 @default.
- W2055041283 hasRelatedWork W2040699478 @default.
- W2055041283 hasRelatedWork W2055041283 @default.
- W2055041283 hasRelatedWork W2170526793 @default.
- W2055041283 hasRelatedWork W2326428751 @default.
- W2055041283 hasRelatedWork W3031379238 @default.
- W2055041283 hasRelatedWork W2062849509 @default.
- W2055041283 hasVolume "35" @default.
- W2055041283 isParatext "false" @default.
- W2055041283 isRetracted "false" @default.
- W2055041283 magId "2055041283" @default.
- W2055041283 workType "article" @default.