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 this 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. © 1992, Taylor & Francis Group, LLC
The Arithmetic Mean Preconditioner for Multivector Computers
RUGGIERO, Valeria
1992
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 this 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. © 1992, Taylor & Francis Group, LLCFile in questo prodotto:
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