Gallivan, K.; Grimme, E.; Sorensen, D.; Van Dooren, P. On some modifications of the Lanczos algorithm and the relation with Padé approximations. (English) Zbl 1075.93506 Kirchgässner, Klaus (ed.) et al., ICIAM 95: Proceedings of the third international congress on industrial and applied mathematics, held in Hamburg, Germany, July 3-7, 1995. Berlin: Akademie Verlag (ISBN 3-05-501682-3/hbk). Math. Res. 87, 87-116 (1996). Summary: In this paper we try to show the relations between the Lanczos algorithm and Padé approximations as used e.g. in identification and model reduction of dynamical systems. We also explore the use of variants of the Lanczos method in order to obtain approximations with better properties than the ones resulting from the standard Lanczos algorithm.For the entire collection see [Zbl 0836.00021]. Cited in 3 Documents MSC: 93B30 System identification 65F10 Iterative numerical methods for linear systems Software:eigs PDFBibTeX XMLCite \textit{K. Gallivan} et al., in: ICIAM 95: Proceedings of the third international congress on industrial and applied mathematics, held in Hamburg, Germany, July 3-7, 1995. Berlin: Akademie Verlag. 87--116 (1996; Zbl 1075.93506)