In this paper we consider the arithmetic mean preconditioner for the conjugate gradient method. This preconditioner is designed to be implemented on a multiprocessor system that can execute concurrently different tasks on vector processors.Some spectral bounds for the preconditioner have been obtained. A comparison between this preconditioner and the SSOR preconditioner has been carried out on different test-matrices. Also the m-step preconditioners generated by the arithmetic mean preconditioner and by the SSOR preconditioner have been compared.

The arithmetic mean preconditioner for multivector computers / Galligani, Emanuele; V., Ruggiero. - STAMPA. - 4:(1994), pp. 273-288.

The arithmetic mean preconditioner for multivector computers

GALLIGANI, Emanuele;
1994

Abstract

In this paper we consider the arithmetic mean preconditioner for the conjugate gradient method. This preconditioner is designed to be implemented on a multiprocessor system that can execute concurrently different tasks on vector processors.Some spectral bounds for the preconditioner have been obtained. A comparison between this preconditioner and the SSOR preconditioner has been carried out on different test-matrices. Also the m-step preconditioners generated by the arithmetic mean preconditioner and by the SSOR preconditioner have been compared.
1994
Preconditioned Iterative Methods
9782881249563
Gordon and Breach Science Publishers S.A.
SVIZZERA
The arithmetic mean preconditioner for multivector computers / Galligani, Emanuele; V., Ruggiero. - STAMPA. - 4:(1994), pp. 273-288.
Galligani, Emanuele; V., Ruggiero
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/593590
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