Restarted Block Gmres with Deflation of Eigenvalues

نویسندگان

  • RONALD B. MORGAN
  • R. B. MORGAN
چکیده

Block-GMRES is an iterative method for solving nonsymmetric systems of linear equations with multiple right-hand sides. Restarting may be needed, due to orthogonalization expense or limited storage. We discuss how restarting affects convergence and the role small eigenvalues play. Then a version of restarted block-GMRES that deflates eigenvalues is presented. It is demonstrated that deflation can be particularly important for block methods.

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تاریخ انتشار 2005