A preconditioned gmres method for nonsymmetric or indefinite problems

Jinchao Xu, Xiao Chuan Cai

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


A preconditioning technique is proposed for nonsymmetric or indefinite linear systems of equations. The main idea in our theory, roughly speaking, is first to use some "coarser mesh" space to correct the nonpositive portion of the eigenvalues of the underlying operator and then switch to use a symmetric positive definite preconditioner. The generality of our theory allows us to apply any known preconditioners that were orginally designed for symmetric positive definite problems to nonsymmetric or indefinite problems, without losing the optimality that the original one has. Some numerical experiments based on GMRES are reported. © 1992 American Mathematical Society.
Original languageEnglish (US)
Pages (from-to)311-319
Number of pages9
JournalMathematics of Computation
Issue number200
StatePublished - Jan 1 1992
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics


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