The quotient-difference algorithm and the Padé table: an alternative form and a general continued fraction
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- by J. H. McCabe PDF
- Math. Comp. 41 (1983), 183-197 Request permission
Abstract:
The quotient-difference algorithm is applied to a given power series in a modified way, and various continued fractions provided by the algorithm are described in terms of their relationships with the Padé table for the power series. In particular a general continued fraction whose convergents form any chosen combination of horizontal or vertical connected sequences of Padé approximants is introduced.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Math. Comp. 41 (1983), 183-197
- MSC: Primary 30B70; Secondary 10A30, 10F20, 41A21
- DOI: https://doi.org/10.1090/S0025-5718-1983-0701633-3
- MathSciNet review: 701633