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Numerische Mathematik

, Volume 59, Issue 1, pp 541–559 | Cite as

Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations

  • Ludwig Elsner
  • Volker Mehrmann
Article

Summary

We discuss block matrices of the formA=[A ij ], whereA ij is ak×k symmetric matrix,A ij is positive definite andA ij is negative semidefinite. These matrices are natural block-generalizations of Z-matrices and M-matrices. Matrices of this type arise in the numerical solution of Euler equations in fluid flow computations. We discuss properties of these matrices, in particular we prove convergence of block iterative methods for linear systems with such system matrices.

Mathematics Subject Classification (1991)

65F10 65N22 15A48 

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Ludwig Elsner
    • 1
  • Volker Mehrmann
    • 1
  1. 1.Fakultät für MathematikUniversität BielefeldBielefeldGermany

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