Global Identities in the Non-Normal Newton-Padé Approximation table
Bernhard Beckermann, Carsten Carstensen
J. Approx. Theory 74(1993) 199-220.

This note is concerned with the Newton-Padé table containing rational interpolants with varying numerator and denominator degrees. In the general case some entries of the table can be equal, combined in so-called singular blocks. Any singular block in this non-normal Newton-Padé approximation table consists of squares forming a symmetric tail. It is the aim of this note to present global identities between neighboring entries of a singular block. In particular, we generalize Cordellier's identities for Padé approximation. The resulting algorithmic aspects, e.g. a reliable modification of Claessens' cross--rule, are discussed in [..].