Publication
Title
A stabilized superfast solver for indefinite Hankel systems
Author
Abstract
We present a stabilized superfast solver for indefinite Hanke1 Systems whose size is a power of 2. The Hanke1 System is transformed into a Loewner System, which is solved by using an inversion formula for Loewner matrices. This explicit formula for the in- Verse of a Loewner matrix contains certain Parameters that are computed by solving two linearized rational interpolation Problems on the unit circle. The heart of our Hankel solver is a superfast algorithm to solve these interpolation Problems. This algorithm is stabilized via pivoting, iterative improvement, and by giving the so-called difficult interpolation Points an adequate treatment. We have implemented our algorithm in Fortran 90. Numerical examples illustrate the effectiveness of our approach.
Language
English
Source (journal)
Linear algebra and its applications. - New York, N.Y.
Publication
New York, N.Y. : 1998
ISSN
0024-3795
Volume/pages
284:1-3(1998), p. 335-355
ISI
000076918100017
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 17.04.2012
Last edited 28.07.2017