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The quotient-difference algorithm and the Padé table: an alternative form and a general continued fraction

Author: J. H. McCabe
Journal: Math. Comp. 41 (1983), 183-197
MSC: Primary 30B70; Secondary 10A30, 10F20, 41A21
MathSciNet review: 701633
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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.

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Keywords: Continued fractions, Padé approximants
Article copyright: © Copyright 1983 American Mathematical Society

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