Approximation by rational functions

Author: Cherednichenko, Victor

Source: Applicable Analysis, Volume 87, Numbers 10-11, October 2008 , pp. 1289-1293(5)

Publisher: Taylor and Francis Ltd

Abstract:

The inverse problem of finding point sources from finite measurements of two-dimensional stationary field leads to the problem of interpolation by rational functions. However, unlike the polynomial interpolation, the system of equations for the polynomial coefficients appearing here is rather difficult to analyse and to solve numerically. The author has developed a new approach to the investigation of this classical problem, based on the polynomial algebra avoiding systems of linear equations. Rational interpolants are constructed explicitly.

Keywords: rational functions; interpolation problem; neighbouring interpolants

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810802079277

Affiliations: 1: Siberian University of Consumer's Co-Operation, Novosibirsk, Russia

Publication date: 2008-10-01

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