This paper is concerned with the solution of block tridiagonal linear systems by the preconditioned conjugate gradient (PCG) method. If we consider a block AGE splitting of the coefficient matrix, it is possible to derive an additive polynomial preconditioner and to give conditions for such preconditioner to be symmetric positive definite.Numerical experiments on diffusion problem are carried out on CRAY Y-MP in order to evaluate the effectiveness of the parallel polynomial preconditioner.
A polynomial preconditioner for block tridiagonal matrices / Galligani, Emanuele; V., Ruggiero. - In: PARALLEL ALGORITHMS AND APPLICATIONS. - ISSN 1063-7192. - STAMPA. - 3:(1994), pp. 227-237.
A polynomial preconditioner for block tridiagonal matrices
GALLIGANI, Emanuele;
1994
Abstract
This paper is concerned with the solution of block tridiagonal linear systems by the preconditioned conjugate gradient (PCG) method. If we consider a block AGE splitting of the coefficient matrix, it is possible to derive an additive polynomial preconditioner and to give conditions for such preconditioner to be symmetric positive definite.Numerical experiments on diffusion problem are carried out on CRAY Y-MP in order to evaluate the effectiveness of the parallel polynomial preconditioner.
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
