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Padé and Hermite-Padé Approximation and Orthogonality

Author(s): Walter Van Assche

Journal: Surveys in Approximation Theory
ISSN 1555-578X

Volume: 2;
Start page: 61;
Date: 2006;
Original page

We give a short introduction to Padé approximation (rational approximation to a function with close contact at one point) and to Hermite-Padé approximation (simultaneous rational approximation to several functions with close contact at one point) and show how orthogonality plays a crucial role. We give some insight into how logarithmic potential theory helps in describing the asymptotic behavior and the convergence properties of Padé and Hermite-Padé approximation.
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