A Generalized GMRES Iterative Method

  • Authors:
  • David R. Kincaid;Jen-Yuan Chen;David M. Young

  • Affiliations:
  • -;-;-

  • Venue:
  • NAA '00 Revised Papers from the Second International Conference on Numerical Analysis and Its Applications
  • Year:
  • 2000

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Abstract

We describe a generalization of the GMRES iterative method in which the residual vector is no longer minimized in the 2-norm but in a C-norm, where C is a symmetric positive definite matrix. The resulting iterative method call GGMRES is derived in detail and the minimizing property is proven.