Simultaneous preconditioning and symmetrization of non-symmetric linear systems

Details Simultaneous preconditioning and symmetrization of non-symmetric linear systems Simultaneous preconditioning and symmetrization of non-symmetric linear systems

2008-01-25

arxiv.org/abs/0801.3865v1

Mathematics

Numerical Analysis

14 pages. Updated versions --if any-- of this author's papers can be downloaded at http://www.birs.ca/~nassif

Scientific paper

Motivated by the theory of self-duality which provides a variational formulation and resolution for non self-adjoint partial differential equations \cite{G1, G2}, we propose new templates for solving large non-symmetric linear systems. The method consists of combining a new scheme that simultaneously preconditions and symmetrizes the problem, with various well known iterative methods for solving linear and symmetric problems. The approach seems to be efficient when dealing with certain ill-conditioned, and highly non-symmetric systems.

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