-
Article
A generalized eigenvalue problem for quasi-orthogonal rational functions
In general, the zeros of an orthogonal rational function (ORF) on a subset of the real line, with poles among $${\{\alpha_1,\ldots,\al...
-
Article
The implicit application of a rational filter in the RKS method
The implicitly restarted Arnoldi method implicitly applies a polynomial filter to the Arnoldi vectors by use of orthogonal transformations. In this paper, an implicit filtering by rational functions is propose...
-
Article
Orthogonal rational functions and modified approximants
Let {α n | n ∞ be a sequence in the open unit disk in the complex plane and let ...
-
Article
On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle
We study the convergence of rational interpolants with prescribed poles on the unit circle to the Herglotz-Riesz transform of a complex measure supported on [−π, π]. As a consequence, quadrature formulas arise...
-
Article
A general module theoretic framework for vector M-Padé and matrix rational interpolation
A general module theoretic framework is used to solve several classical interpolation problems and generalizations thereof in a unified way. These problems are divided into two main families. The first family ...
-
Article
Special issue on rational approximations for systems
To conclude our discussion we can only confess to our shortcomings as organizers and editors. We have been incomplete, we have been biased, and, worst of all, we have not been able to produce the most essentia...
