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Remarks on the interval version of Schulz's method

Bemerkungen zu den intervallmäßigen Schulz-Verfahren

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Abstract

Some properties of the interval versions of Schulz's method for bounding the inverse of a matrix are proved. These properties turn out to be useful for the implementation of these algorithms

Zusammenfassung

Für die intervallmäßigen Schulz-Verfahren zur Einschließung der Inversen einer Matrix werden einige für die Implementierung nützliche Eigenschaften bewiesen.

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References

  1. Alefeld, G., Herzberger, J.: Introduction to Interval Computations. New York: Academic Press 1983.

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  2. Herzberger, J.: On the monotonicity of the interval versions of Schulz's method. Computing38, 71–74 (1987).

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  3. Herzberger, J.: Explizite Schulz-Verfahren höherer Ordnung zur Approximation der inversen Matrix. Z. Angew. Math. Mech. (to appear).

  4. Varga, R. S.: Matrix Iterative Analysis. Englewood Cliffs, N. J.: Prentice-Hall 1962.

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Herzberger, J. Remarks on the interval version of Schulz's method. Computing 39, 183–186 (1987). https://doi.org/10.1007/BF02310107

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