Vector-valued Rational Interpolants II
- 1 April 1984
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 4 (2) , 209-224
- https://doi.org/10.1093/imanum/4.2.209
Abstract
Formulae for rational interpolation of vector data (in a space C[d]) at distinct points are given. Its confluent case of vector-valued Padé approximation is shown to be equivalent to the German polynomial approximation problem. Formulae are given for the vector of numerator polynomials and for the denominator polynomial. A continued fraction interpolant for vector data is also given. The methods are characterized by their requirement that certain distinguished directions in the space C[d] form part of the specification. The case of matrix Padé approximants for the partial realization problem is explicitly discussed.Keywords
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