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Journal Article

The Pade Table and Its Relation to Certain Algorithms of Numerical Analysis

W. B. Gragg
SIAM Review
Vol. 14, No. 1 (Jan., 1972), pp. 1-62
Stable URL: http://www.jstor.org/stable/2028911
Page Count: 62
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The Pade Table and Its Relation to Certain Algorithms of Numerical Analysis
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Abstract

The algebraic theory of the Pade table of a formal power series is presented with a natural notation which indicates possible extensions to Laurent series. The theory is related to bigradient determinants, the epsilon and eta algorithms, and to a variant of the quotient-difference algorithm. Normality criteria for the Pade table, which provide existence theorems for the algorithms, are developed.

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