Research Project:
Accuracy of Krylov Space Solvers for Large Sparse
Linear Systems of Equations
Professor:
Prof. Martin H. Gutknecht
Date: 20.10.2007
Project Title:
Accuracy of Krylov Space Solvers for Large Sparse
Linear Systems of Equations
Summary:
Krylov space solvers for linear systems of equations are normally
very efficient and for that reason often the only feasible tool
for solving the huge systems that result from the discretization
of partial differential equations in several dimensions.
But the price for the efficiency is reduced reliability and accuracy
due to roundoff effects. We study these effects and investigate
various measures to increase the reliability of the algorithms and
the accuracy of the approximate solution provided.
- Contacts:
- Prof. M.H. Gutknecht
- Seminar für Angewandte Mathematik
- ETH Zürich
- ETH-Zentrum, HG
- CH-8092 Zürich
- Tel.: +41-1-632 34 64
- FAX: +41-1-632 11 04
- EMail: gutknecht@math.ethz.ch
In Collaboration With:
- Pavel Jiranek, NTI Faculty of Mechatronics and Interdisciplinary Engineering Studies,
Technical University of Liberec, Czech Republic
- Prof. Chris Paige, School of Computer Science, McGill University, Montreal, Canada
- Dr. Miro Rozloznik, Institute of Computer Science, Academy of Sciences of the Czech Republic, Praha, Czech Republic
- Prof. Zdenek Strakos, Institute of Computer Science, Academy of Sciences of the Czech Republic, Praha, Czech Republic
.
