
Accession Number : ADA130526
Title : On Complex Rational Approximation by Interpolation at Preselected Nodes.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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 wellconditioned 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