Matches in SemOpenAlex for { <https://semopenalex.org/work/W2130447005> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W2130447005 endingPage "81" @default.
- W2130447005 startingPage "66" @default.
- W2130447005 abstract "In this paper we investigate the regularizing properties of semi-iterative regularization methods in Hilbert scales for linear ill-posed problems and perturbed data.It is well known that standard Landweber iteration can be remarkably accelerated by polynomial acceleration methods leading to optimal speed of convergence, which can be obtained by several efficient two-step methods, e.g., the $nu$-methods by Brakhage. It was observed earlier that a similar speed of convergence, i.e., similar iteration numbers yielding optimal convergence rates, can be obtained if Landweber iteration is performed in Hilbert scales.We show that a combination of both ideas allows for a further acceleration, yielding optimal convergence rates with only the square root of iterations as compared to the $nu$-methods or Landweber iteration in Hilbert scales. The theoretical results are illustrated by several examples and numerical tests, including a comparison to the method of conjugate gradients." @default.
- W2130447005 created "2016-06-24" @default.
- W2130447005 creator A5069912765 @default.
- W2130447005 date "2006-01-01" @default.
- W2130447005 modified "2023-09-30" @default.
- W2130447005 title "Semi-iterative Regularization in Hilbert Scales" @default.
- W2130447005 cites W1570089119 @default.
- W2130447005 cites W1977617358 @default.
- W2130447005 cites W1988645098 @default.
- W2130447005 cites W1989436614 @default.
- W2130447005 cites W2003324232 @default.
- W2130447005 cites W2005836623 @default.
- W2130447005 cites W2011178292 @default.
- W2130447005 cites W2080838153 @default.
- W2130447005 cites W2080888649 @default.
- W2130447005 cites W2488968130 @default.
- W2130447005 cites W4299416517 @default.
- W2130447005 doi "https://doi.org/10.1137/040617285" @default.
- W2130447005 hasPublicationYear "2006" @default.
- W2130447005 type Work @default.
- W2130447005 sameAs 2130447005 @default.
- W2130447005 citedByCount "13" @default.
- W2130447005 countsByYear W21304470052012 @default.
- W2130447005 countsByYear W21304470052014 @default.
- W2130447005 countsByYear W21304470052021 @default.
- W2130447005 countsByYear W21304470052022 @default.
- W2130447005 countsByYear W21304470052023 @default.
- W2130447005 crossrefType "journal-article" @default.
- W2130447005 hasAuthorship W2130447005A5069912765 @default.
- W2130447005 hasBestOaLocation W21304470052 @default.
- W2130447005 hasConcept C11413529 @default.
- W2130447005 hasConcept C134306372 @default.
- W2130447005 hasConcept C154945302 @default.
- W2130447005 hasConcept C159694833 @default.
- W2130447005 hasConcept C2776135515 @default.
- W2130447005 hasConcept C28826006 @default.
- W2130447005 hasConcept C33923547 @default.
- W2130447005 hasConcept C41008148 @default.
- W2130447005 hasConcept C62799726 @default.
- W2130447005 hasConceptScore W2130447005C11413529 @default.
- W2130447005 hasConceptScore W2130447005C134306372 @default.
- W2130447005 hasConceptScore W2130447005C154945302 @default.
- W2130447005 hasConceptScore W2130447005C159694833 @default.
- W2130447005 hasConceptScore W2130447005C2776135515 @default.
- W2130447005 hasConceptScore W2130447005C28826006 @default.
- W2130447005 hasConceptScore W2130447005C33923547 @default.
- W2130447005 hasConceptScore W2130447005C41008148 @default.
- W2130447005 hasConceptScore W2130447005C62799726 @default.
- W2130447005 hasIssue "1" @default.
- W2130447005 hasLocation W21304470051 @default.
- W2130447005 hasLocation W21304470052 @default.
- W2130447005 hasOpenAccess W2130447005 @default.
- W2130447005 hasPrimaryLocation W21304470051 @default.
- W2130447005 hasRelatedWork W1965977581 @default.
- W2130447005 hasRelatedWork W2274598647 @default.
- W2130447005 hasRelatedWork W2322678193 @default.
- W2130447005 hasRelatedWork W2357037112 @default.
- W2130447005 hasRelatedWork W3100684675 @default.
- W2130447005 hasRelatedWork W3207766348 @default.
- W2130447005 hasRelatedWork W3211822619 @default.
- W2130447005 hasRelatedWork W3212671826 @default.
- W2130447005 hasRelatedWork W4210891617 @default.
- W2130447005 hasRelatedWork W4285142501 @default.
- W2130447005 hasVolume "44" @default.
- W2130447005 isParatext "false" @default.
- W2130447005 isRetracted "false" @default.
- W2130447005 magId "2130447005" @default.
- W2130447005 workType "article" @default.