Analysis of Parallel Preconditioned Conjugate Gradient Algorithms
Volume 16, Issue 3 (2005), pp. 317–332
Pub. online: 1 January 2005
Type: Research Article
Received
1 December 2004
1 December 2004
Published
1 January 2005
1 January 2005
Abstract
The conjugate gradient method is an iterative technique used to solve systems of linear equations. The paper analyzes the performance of parallel preconditioned conjugate gradient algorithms. First, a theoretical model is proposed for estimation of the complexity of PPCG method and a scalability analysis is done for three different data decomposition cases. Computational experiments are done on IBM SP4 computer and some results are presented. It is shown that theoretical predictions agree well with computational results.