A Note on the Superlinear Convergence of GMRES

  • Authors:
  • Igor Moret

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Numerical Analysis
  • Year:
  • 1997

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Abstract

In the paper it is shown how the rate of convergence of the GMRES method for solving a linear operator equation $(\lambda I + K) u = f$ in a Hilbert space is related to the degree of compactness of $K$ measured by the products of its singular values.