- AutorIn
- Sergio Barrachina
- Peter Benner
- Enrique S. Quintana-Ortí
- Titel
- Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign Function
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:swb:ch1-200601684
- Quellenangabe
- Preprintreihe des Chemnitzer SFB 393, 05-15
- ISSN
- 1619-7186
- Abstract (EN)
- We investigate the solution of large-scale generalized algebraic Bernoulli equations as those arising in control and systems theory in the context of stabilization of linear dynamical systems, coprime factorization of rational matrix-valued functions, and model reduction. The algorithms we propose, based on a generalization of the Newton iteration for the matrix sign function, are easy to parallelize, yielding an efficient numerical tool to solve large-scale problems. Both the accuracy and the parallel performance of our implementations on a cluster of Intel Xeon processors are reported.
- Andere Ausgabe
- Link: http://www.tu-chemnitz.de/sfb393/preprints.html
- Freie Schlagwörter (EN)
- Bernoulli equation, control and system theory, matrix sign function
- Klassifikation (DDC)
- 510
- Normschlagwörter (GND)
- Kontrolltheorie, Matrixproblem, Parallelrechner
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:swb:ch1-200601684
- Veröffentlichungsdatum Qucosa
- 11.09.2006
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch