Many problems in dynamics can be formulated as inverse problems that require the
determination of the unknown input from the known output. Limited by the measurement …

It has been shown that approximate extended Krylov subspaces can be computed, under
certain assumptions, without any explicit inversion or system solves. Instead, the vectors …

Frequency domain identification is a common starting point for model based motion control.
The aim of this paper is to tailor parametric identification methods to the specific class of …

A fast Fortran implementation of a variant of Gragg's unitary Hessenberg QR algorithm is
presented. It is proved, moreover, that all QR-and QZ-like algorithms for the unitary …

A general framework for oblique projections of non-Hermitian matrices onto rational Krylov
subspaces is developed. To obtain this framework we revisit the classical rational Krylov …

The problem of computing recurrence coefficients of sequences of rational functions
orthogonal with respect to a discrete inner product is formulated as an inverse eigenvalue …

In this research, we solve polynomial, Sobolev polynomial, rational, and Sobolev rational
least squares problems. Although the increase in the approximation degree allows us to fit …

The rational Krylov method is a powerful tool for computing a selected subset of eigenvalues
in large-scale eigenvalue problems. In this paper we study a method to implicitly apply a …

Dit proefschrift is goedgekeurd door de promotoren en de samenstelling van de
promotiecommissie is als volgt: voorzitter: prof. dr. LPH de Goey promotor: prof. dr. ir. M …

Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials
(poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we …