摘要

Motivated by the theory of self-duality that provides a variational formulation and resolution for non-self-adjoint partial differential equations (Ann. Inst. Henri Poincare (C) Anal Non Lineaire 2007; 24:171-205; Selfdual Partial Differential Systems and Their Variational Principles. Springer: New York, 2008), 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. The numerical and theoretical results are provided to show the efficiency of our approach.

  • 出版日期2011-5

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