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Experimentelle Untersuchungen zur numerischen Auflösung von linearen Gleichungssystemen mit Fehlererfassung

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Interval Mathematics (IMath 1975)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 29))

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Abstract

Theoretical and numerical results of four known algorithms to compute inclusions for the solution of a system of linear equations are compared.

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Verwendete Literatur

  1. N. APOSTOLATOS; U. KULISCH: Grundlagen einer Maschinenintervall-arithmetik. Computing 2, 89–104 (1967).

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  2. E. HANSEN: On solving systems of equations using interval arithmetic. Math. of Comp. 22, 374–384 (1968).

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  3. R. KRAWCZYK: Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken. Computing 4, 187–201 (1969).

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  4. R.E. MOORE: Intervallanalyse. R. Oldenbourg Verlag, München, Wien (1969).

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  5. J.H. WILKINSON: Rundungsfehler. Springer-Verlag, Berlin, Heidelberg, New York (1969).

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  6. P. WONGWISES: Experimentelle Untersuchungen zur numerischen Auflösung von linearen Gleichungssystemen mit Fehlerschranken. Dissertation, Interner Bericht des Instituts für Praktische Mathematik 75/1, Universität Karlsruhe (1975).

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Karl Nickel

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© 1975 Springer-Verlag Berlin Heidelberg

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Wongwises, P. (1975). Experimentelle Untersuchungen zur numerischen Auflösung von linearen Gleichungssystemen mit Fehlererfassung. In: Nickel, K. (eds) Interval Mathematics. IMath 1975. Lecture Notes in Computer Science, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07170-9_33

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  • DOI: https://doi.org/10.1007/3-540-07170-9_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07170-9

  • Online ISBN: 978-3-540-37504-3

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