Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 191-219 |
| Seitenumfang | 29 |
| Fachzeitschrift | Linear Algebra and Its Applications |
| Jahrgang | 173 |
| Ausgabenummer | C |
| Publikationsstatus | Veröffentlicht - Aug. 1992 |
Abstract
A unified and self-contained approach to the block structure of Shank's table and its cross rules is presented. Wynn's regular and Cordellier's singular cross rules are derived by the Schur-complement method in a unified manner without appealing to Padé approximation. Moreover, by extending the definition of Shank's transformation to certain biinfinite sequences and by introducing a parameter it is possible to get more consistency with respect to Möbius transformations. It is well known that Padé approximants in general don't have this property.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
- Mathematik (insg.)
- Numerische Mathematik
- Mathematik (insg.)
- Geometrie und Topologie
- Mathematik (insg.)
- Diskrete Mathematik und Kombinatorik
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in: Linear Algebra and Its Applications, Jahrgang 173, Nr. C, 08.1992, S. 191-219.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Shank's transformation revisited
AU - Beckermann, B.
AU - Neuber, A.
AU - Mühlbach, G.
PY - 1992/8
Y1 - 1992/8
N2 - A unified and self-contained approach to the block structure of Shank's table and its cross rules is presented. Wynn's regular and Cordellier's singular cross rules are derived by the Schur-complement method in a unified manner without appealing to Padé approximation. Moreover, by extending the definition of Shank's transformation to certain biinfinite sequences and by introducing a parameter it is possible to get more consistency with respect to Möbius transformations. It is well known that Padé approximants in general don't have this property.
AB - A unified and self-contained approach to the block structure of Shank's table and its cross rules is presented. Wynn's regular and Cordellier's singular cross rules are derived by the Schur-complement method in a unified manner without appealing to Padé approximation. Moreover, by extending the definition of Shank's transformation to certain biinfinite sequences and by introducing a parameter it is possible to get more consistency with respect to Möbius transformations. It is well known that Padé approximants in general don't have this property.
UR - http://www.scopus.com/inward/record.url?scp=44049112136&partnerID=8YFLogxK
U2 - 10.1016/0024-3795(92)90429-E
DO - 10.1016/0024-3795(92)90429-E
M3 - Article
AN - SCOPUS:44049112136
VL - 173
SP - 191
EP - 219
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
IS - C
ER -