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Sets of convergence and stability regions

  • Part II Numerical Mathematics
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Abstract

This paper continues the authors' study of the convergence of dynamic iteration methods for large systems of linear initial value problems. We ask for convergence on [0, ∞) and show how the convergence can be reduced to a graphical test relating the splitting of the matrix to the stability properties of the discretization method.

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Miekkala, U., Nevanlinna, O. Sets of convergence and stability regions. BIT 27, 554–584 (1987). https://doi.org/10.1007/BF01937277

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  • DOI: https://doi.org/10.1007/BF01937277

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