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A device for the acceleration of convergence of a monotonously enclosing iteration method

Monotone Iterations And Computational Error Bounds

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

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References

  1. G. Alefeld: Über die Existenz einer eindeutigen Lösung bei einer Klasse nichtlinearer Gleichungssysteme und deren Berechnung mit Iterationsverfahren. Aplikace Matematiky 17, 267–294 (1972).

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  3. H. Cornelius: Untersuchungen zu einem intervallarithmetischen Iterationsverfahren mit Anwendungen auf eine Klasse nichtlinearer Gleichungssysteme. Dissertation. Fachbereich Mathematik der TU Berlin, Berlin 1981.

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  4. J.M. Ortega, W.C. Rheinboldt: Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York-London 1970.

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  7. W.Törnig: Monoton einschließend konvergente Iterationsprozesse vom Gauss-Seidel Typ zur Lösung nichtlinearer Gleichungssysteme im ℝN und Anwendungen. Technische Hochschule Darmstadt. Preprint-Nr. 517, Dezember 1979.

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© 1982 Springer-Verlag

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Cornelius, H., Alefeld, G. (1982). A device for the acceleration of convergence of a monotonously enclosing iteration method. 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/BFb0069374

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  • DOI: https://doi.org/10.1007/BFb0069374

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