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Construction and efficient implementation of implicit preconditioning methods. I

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Abstract

The paper presents a comparative analysis of various preconditioning procedures and proposes a new approach to the construction of preconditioning methods for the solution of large systems of linear algebraic equations with sparse matrices. Efficient implementation of preconditioning methods on MIMD multiprocessor computing systems is considered under constraints on computer resources and technical possibilities.

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 63, pp. 42–49, 1987.

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Molchanov, I.N., Ryabtsev, V.E. & Trigub, A.S. Construction and efficient implementation of implicit preconditioning methods. I. J Math Sci 66, 2159–2164 (1993). https://doi.org/10.1007/BF01098600

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  • DOI: https://doi.org/10.1007/BF01098600

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