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Padé approximation and gaussian quadrature

Published online by Cambridge University Press:  17 April 2009

G.D. Allen ,
C.K. Chui ,
W.R. Madych ,
F.J. Narcowich  and
P.W. Smith
G.D. Allen
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA.
C.K. Chui
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA.
W.R. Madych
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA.
F.J. Narcowich
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA.
P.W. Smith
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA.
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Abstract

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For certain types of formal power series, including the series of Stieltjes, we prove that the [n, n+j], j ≥ −1, Padé approximants coincide with certain gaussian quadrature formulae and hence, convergence of these approximants follows immediately.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 1 , August 1974 , pp. 63 - 69
Copyright
Copyright © Australian Mathematical Society 1974

References

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