Determinantal representations for the \(\mathfrak{J}\) transformation (Q1899127)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Determinantal representations for the \(\mathfrak{J}\) transformation |
scientific article; zbMATH DE number 802470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determinantal representations for the \(\mathfrak{J}\) transformation |
scientific article; zbMATH DE number 802470 |
Statements
Determinantal representations for the \(\mathfrak{J}\) transformation (English)
0 references
4 October 1995
0 references
The author studies the iterative \(\mathfrak I\) transformation [this is of similar generality as the \(E\)-algorithm of \textit{C. Brezinski}, Numer. Math. 35, 175-187 (1980; Zbl 0444.65001) and \textit{T. Håvie}, BIT 19, 204-213 (1979; Zbl 0404.65001)] and gives an explicit determinantal representation of this transformation. Also, \textit{K. J. Overholt's} process [BIT 5, 122-132 (1965; Zbl 0171.355)] is shown to be a special case of this transformation and its representation is given. Some numerical examples are discussed.
0 references
\(\mathfrak I\) transformation
0 references
convergence acceleration
0 references
\(E\)-algorithm
0 references
numerical examples
0 references
0.89678967
0 references
0.8777237
0 references
0.8713321
0 references
0 references
0 references
