Abstract
In this paper methods are described for the solution of certain sparse linear systems with a non-symmetric matrix. The power of these methods is demonstrated by numerical examples. Application of the methods is restricted to problems where the matrix has only eigenvalues with positive real part. An important class of this type of matrices arises from discretisation of second order partial differential equations with first order derivative terms.
The research described in this paper has been supported in part by the European Research Office, London, through Grant DAJA 37 - 80 - C - 0243.
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van der Vorst, H.A. (1982). A preconditioned tchebycheff iterative solution method for certain large sparse linear systems with a non-symmetric matrix. In: Hinze, J. (eds) Numerical Integration of Differential Equations and Large Linear Systems. Lecture Notes in Mathematics, vol 968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064899
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DOI: https://doi.org/10.1007/BFb0064899
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