Approximation by rational functions
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.
Document Type: Research Article
Affiliations: Siberian University of Consumer's Co-Operation, Novosibirsk, Russia
Publication date: 2008-10-01