Numerical experiments to optimize the use of (I)LU preconditioning in the iterative linear solver package LINSOL

Authors:
Willi Schönauer;Hartmut Häfner
Affiliations:
Rechenzentrum der Universität Karlsruhe, D-76128 Karlsruhe, Germany;Rechenzentrum der Universität Karlsruhe, D-76128 Karlsruhe, Germany
Venue:
Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss
Year:
2002

Citing 7
Cited 1

Scientific computing on vector computers

Scientific computing on vector computers
BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems

SIAM Journal on Scientific and Statistical Computing
An engineering approach to generalized conjugate gradient methods and beyond

Applied Numerical Mathematics - Special issue on iterative methods for linear equations
Iterative methods for solving linear systems

Iterative methods for solving linear systems
The program package LINSOL: basic concepts and realization

IMACS'97 Proceedings on the on Iterative methods and preconditioners
Numerical Linear Algebra for High Performance Computers

Numerical Linear Algebra for High Performance Computers
Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems

The integration of different variants of the (I)LU algorithm in the LINSOL program package

Applied Numerical Mathematics - Developments and trends in iterative methods for large systems of equations—in memoriam Rüdiger Weiss

Quantified Score

Hi-index	0.00

Visualization

Abstract

In the iterative linear solver package LINSOL several generalized conjugate gradient (CG) methods (or, briefly, CG-type methods) with quite different properties are implemented. With these methods polyalgorithms with automatic method switching are constructed. The "emergency exit" that is taken in the worst case is the ATPRES method (which is very robust, but very slow). In this paper we investigate if (I)LU preconditioning were a better emergency exit and how the drop tolerance for small elements in ILU affects the convergence behavior. The answer will be: it depends.