Matches in SemOpenAlex for { <https://semopenalex.org/work/W2028476543> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2028476543 endingPage "36" @default.
- W2028476543 startingPage "30" @default.
- W2028476543 abstract "The GMRES algorithm minimizes $norm{p(A)b}$ over polynomials p of degree n normalized at $z=0$. The ideal GMRES problem is obtained if one considers minimization of $norm{p(A)}$ instead. The ideal problem forms an upper bound for the worst-case true problem, where the GMRES norm $norm{p_b(A)b}$ is maximized over b. In work not yet published, Faber, Joubert, Knill, and Manteuffel have shown that this upper bound need not be attained, constructing a $4 times 4$ example in which the ratio of the true to ideal GMRES norms is $0.9999$. Here, we present a simpler $4 times 4$ example in which the ratio approaches zero when a certain parameter tends to zero. The same example also leads to the same conclusion for Arnoldi vs. ideal Arnoldi norms." @default.
- W2028476543 created "2016-06-24" @default.
- W2028476543 creator A5064083862 @default.
- W2028476543 date "1997-01-01" @default.
- W2028476543 modified "2023-09-27" @default.
- W2028476543 title "GMRES vs. Ideal GMRES" @default.
- W2028476543 cites W1982602023 @default.
- W2028476543 cites W2012110988 @default.
- W2028476543 cites W2021846130 @default.
- W2028476543 cites W2130860589 @default.
- W2028476543 cites W2136866714 @default.
- W2028476543 cites W2140153041 @default.
- W2028476543 doi "https://doi.org/10.1137/s089547989427909x" @default.
- W2028476543 hasPublicationYear "1997" @default.
- W2028476543 type Work @default.
- W2028476543 sameAs 2028476543 @default.
- W2028476543 citedByCount "34" @default.
- W2028476543 countsByYear W20284765432012 @default.
- W2028476543 countsByYear W20284765432013 @default.
- W2028476543 countsByYear W20284765432016 @default.
- W2028476543 countsByYear W20284765432017 @default.
- W2028476543 countsByYear W20284765432018 @default.
- W2028476543 countsByYear W20284765432020 @default.
- W2028476543 countsByYear W20284765432023 @default.
- W2028476543 crossrefType "journal-article" @default.
- W2028476543 hasAuthorship W2028476543A5064083862 @default.
- W2028476543 hasConcept C114614502 @default.
- W2028476543 hasConcept C134306372 @default.
- W2028476543 hasConcept C138885662 @default.
- W2028476543 hasConcept C155332342 @default.
- W2028476543 hasConcept C17744445 @default.
- W2028476543 hasConcept C191795146 @default.
- W2028476543 hasConcept C199539241 @default.
- W2028476543 hasConcept C2776639384 @default.
- W2028476543 hasConcept C2780813799 @default.
- W2028476543 hasConcept C28826006 @default.
- W2028476543 hasConcept C33923547 @default.
- W2028476543 hasConcept C41895202 @default.
- W2028476543 hasConcept C6802819 @default.
- W2028476543 hasConcept C77553402 @default.
- W2028476543 hasConceptScore W2028476543C114614502 @default.
- W2028476543 hasConceptScore W2028476543C134306372 @default.
- W2028476543 hasConceptScore W2028476543C138885662 @default.
- W2028476543 hasConceptScore W2028476543C155332342 @default.
- W2028476543 hasConceptScore W2028476543C17744445 @default.
- W2028476543 hasConceptScore W2028476543C191795146 @default.
- W2028476543 hasConceptScore W2028476543C199539241 @default.
- W2028476543 hasConceptScore W2028476543C2776639384 @default.
- W2028476543 hasConceptScore W2028476543C2780813799 @default.
- W2028476543 hasConceptScore W2028476543C28826006 @default.
- W2028476543 hasConceptScore W2028476543C33923547 @default.
- W2028476543 hasConceptScore W2028476543C41895202 @default.
- W2028476543 hasConceptScore W2028476543C6802819 @default.
- W2028476543 hasConceptScore W2028476543C77553402 @default.
- W2028476543 hasIssue "1" @default.
- W2028476543 hasLocation W20284765431 @default.
- W2028476543 hasOpenAccess W2028476543 @default.
- W2028476543 hasPrimaryLocation W20284765431 @default.
- W2028476543 hasRelatedWork W1976157534 @default.
- W2028476543 hasRelatedWork W1984840642 @default.
- W2028476543 hasRelatedWork W1995879142 @default.
- W2028476543 hasRelatedWork W1999074586 @default.
- W2028476543 hasRelatedWork W2060439759 @default.
- W2028476543 hasRelatedWork W2079461498 @default.
- W2028476543 hasRelatedWork W2085912196 @default.
- W2028476543 hasRelatedWork W2327790314 @default.
- W2028476543 hasRelatedWork W2484362636 @default.
- W2028476543 hasRelatedWork W2521297506 @default.
- W2028476543 hasVolume "18" @default.
- W2028476543 isParatext "false" @default.
- W2028476543 isRetracted "false" @default.
- W2028476543 magId "2028476543" @default.
- W2028476543 workType "article" @default.