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.
References
Alefeld, G., Herzberger, J.: Introduction to Interval Computations. New York: Academic Press 1983.
Herzberger, J.: On the monotonicity of the interval versions of Schulz's method. Computing38, 71–74 (1987).
Herzberger, J.: Explizite Schulz-Verfahren höherer Ordnung zur Approximation der inversen Matrix. Z. Angew. Math. Mech. (to appear).
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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DOI: https://doi.org/10.1007/BF02310107