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Overrelaxation in monotonically convergent iteration methods

  • Monotone Iterations And Computational Error Bounds
  • Conference paper
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Iterative Solution of Nonlinear Systems of Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 953))

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References

  1. Albrecht, J. "Fehlerschranken und Konvergenzbeschleunigung bei einer monotonen oder alternierenden Iterationsfolge" Numerische Mathematik 4, 1962

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  2. Gisper, M. "On global convergence of coordinate relaxation in the case of an unsymmetric, diagonally dominant Jacobian" To appear in Computing

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  3. Collatz, L. "The numerical treatment of differential equations" Springer Verlag, Berlin, Göttingen, Heidelberg 1960

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  4. Ortega, J.M.; Rheinboldt, W.C. "Monotone iterations for nonlinear equations with application to Gauß-Seidel methods" SIAM J. Num. Anal. 4 1967

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  5. Ortega, J.M.; Rheinboldt, W.C. "Iterative solution of nonlinear equations" Academic Press New York, London 1970

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  6. Schelin, W. "Monotone convergence of the SOR-Newton iterative technique" SIAM J. Num. Anal. 32 1973

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  7. Schröder, J. "Anwendung von Fixpunktsätzen bei der numerischen Behandlung nichtlinearer Gleichungen" Arch. Rat. Mech. Anal. 4 1959

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  8. Törnig, W. "Monoton einschließend konvergente Iterationsprozesse vom Gauß-Seidel-Typ zur Lösung nichtlinearer Gleichungssysteme im Rn" Math. Meth. in the Appl. Sci. 2 1980

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Authors and Affiliations

  1. Technische Hochschule Darmstadt, 6100, Darmstadt

    Bernhard Kaspar

Authors
  1. Bernhard Kaspar
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Rainer Ansorge Theodor Meis Willi Törnig

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© 1982 Springer-Verlag

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Kaspar, B. (1982). Overrelaxation in monotonically convergent iteration methods. In: Ansorge, R., Meis, T., Törnig, W. (eds) Iterative Solution of Nonlinear Systems of Equations. Lecture Notes in Mathematics, vol 953. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069375

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  • DOI: https://doi.org/10.1007/BFb0069375

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11602-8

  • Online ISBN: 978-3-540-39379-5

  • eBook Packages: Springer Book Archive

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