On the Iterative Criterion for Generalized Diagonally Dominant Matrices

  • Authors:
  • Lei Li

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 2002

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Abstract

An iterative method for identifying generalized diagonally dominant matrices\break (GDDMs, or H-matrices) was given in [B. Li et al., Linear Algebra Appl., 271 (1998), pp. 179--190], where the method is divergent when the matrix is not a GDDM. In this paper, we present an improved version. The new method is always convergent and needs fewer iterations than the earlier one. Some interesting features of the new method are presented. Spectral radii of nonnegative matrices with a constant diagonal entry also can be computed by our method.