• Corpus ID: 246016473

The Sassenfeld criterion revisited

@article{Wihler2022TheSC,
  title={The Sassenfeld criterion revisited},
  author={Thomas P. Wihler},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.05628}
}
  • T. Wihler
  • Published 14 January 2022
  • Computer Science
  • ArXiv
ABSTRACT. The starting point of this article is a decades-old yet little-noticed sufficient condition, presented by Sassenfeld in 1951, for the convergence of the classical GaußSeidel method. The purpose of the present paper is to shed new light on Sassenfeld’s criterion and to demonstrate that the original work can be perceived as a special case of a far more extensive concept in the context of preconditioners and iterative linear solvers. Our main result is a classification theorem for the… 

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