Accession Number : ADA130526

Title :   On Complex Rational Approximation by Interpolation at Preselected Nodes.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Reichel,Lothar

PDF Url : ADA130526

Report Date : Apr 1983

Pagination or Media Count : 35

Abstract : Let omega be a finitely connected closed point set in the complex plane with a piecewise smooth boundary. The approximation of functions analytic on omega by rational functions determined by interpolation or least squares approximation at preselected nodes is discussed. Attention is focussed on simple methods for selecting an appropriate rational space and obtaining a fairly well-conditioned rational basis. Applications include the determination of conformal mappings. Numerical examples illustrate the approximation method. (Author)

Descriptors :   *Rational functions, *Approximation(Mathematics), *Interpolation, *Least squares method, Conformal mapping, Convergence, Analytic functions, Points(Mathematics), Boundaries, Nodes

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE