Vol. 108, No. 1, 1983

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Divergence of complex rational approximations

Doron Lubinsky

Vol. 108 (1983), No. 1, 141–153
Abstract

General rational interpolations, orthogonal-Padé approximations and best rational real approximations are shown to diverge as badly as classical Padé approximants. The examples also show known convergence results to be best possible in a strong sense.

Mathematical Subject Classification 2000
Primary: 41A21
Secondary: 30E10
Milestones
Received: 10 December 1981
Published: 1 September 1983
Authors
Doron Lubinsky
School of Mathematics
Georgia Institute of Technology
686 Cherry Street
Atlanta GA 30332-0160
United States
http://www.math.gatech.edu/~lubinsky/