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

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