K.Rost; Z. Vavrin : Non-proper Rational Interpolation and Recursive solution of Löwner-Vandermonde Systems of Equations

Author(s) :

K.Rost; Z. Vavrin

Title :

Non-proper Rational Interpolation and Recursive solution of Löwner-Vandermonde Systems of Equations

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 98-20, 1998

Mathematics Subject Classification :

65F05 [ Direct methods for linear systems ]

Abstract :

Non-proper rational interpolation problems are connected with solutions of systems of equations the coefficient matrix of which has a mixed structure: the first columns are of Vandermonde type whereas the last columns form a Löwner matrix. Now three-term recursions for the rational interpolants are developed which can be translated into recurrence formulas for the solutions of homogeneous systems with such a coefficient matrix. On this base an O(n^2) algorithm for the solution of n x n nonhomogeneous Löwner-Vandermonde systems is obtained.

Keywords :

Löwner matrix, Vandermonde matrix, mixed structure

Language :

english

Publication time :

9/1998

Notes :

partially supported by the grand of the Academy of Scienced of the Czech Republic No. 1030701