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Solving Large-Scale Generalized Algebraic Bernoulli Equations via the Matrix Sign Function
| Content Provider | Semantic Scholar |
|---|---|
| Author | Barrachina, Sergio Benner, Peter Enrique S. Quintana-Ort ยด I. |
| Copyright Year | 2005 |
| Abstract | 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 ecient numerical tool to solve large-scale problems. Both the accuracy |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.tu-chemnitz.de/sfb393/Files/PDF/sfb05-15.pdf |
| Alternate Webpage(s) | http://www-user.tu-chemnitz.de/sfb393/Files/PDF/sfb05-15.pdf |
| Alternate Webpage(s) | http://www.tu-chemnitz.de/sfb393/Files/PDF/sfb05-15.pdf |
| Alternate Webpage(s) | http://www.qucosa.de/fileadmin/data/qucosa/documents/5281/data/sfb05-15.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |