Abstract
The linear space of all proper rational functions with prescribed poles is considered.
Given a set of points in the complex plane and the weights, we define the discrete inner product.
In this paper we derive a method to compute the coefficients of a recurrence relation generating a
set of orthonormal rational basis functions with respect to the discrete inner product. We will show
that these coefficients can be computed by solving an inverse eigenvalue problem for a matrix having
a specific structure. In the case where all the points lie on the real line or on the unit circle, the
computational complexity is reduced by an order of magnitude.
Anno
2005
Autori IAC
Tipo pubblicazione
Altri Autori
Marc Van Barel; Dario Fasino; Luca Gemignani; Nicola Mastronardi
Editore
Society for Industrial and Applied Mathematics ,
Rivista
SIAM journal on matrix analysis and applications (Print)