On the monotonicity of the interval versions of Schulz's method (Q1077126)
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scientific article; zbMATH DE number 3956313
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the monotonicity of the interval versions of Schulz's method |
scientific article; zbMATH DE number 3956313 |
Statements
On the monotonicity of the interval versions of Schulz's method (English)
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1987
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For the interval versions of Schulz's method [\textit{G. Schulz}, Iterative Berechnung der reziproken Matrix. Z. Angew. Math. Mech. 13, 57-59 (1933)] for bounding the inverse of a matrix a necessary and a sufficient criterion for the monotonicity is derived. In particular, it is proved that the procedures developed by \textit{G. Alefeld} and the author [Elektron. Datenverarbeitung 1970, 410-416 (1970; Zbl 0199.497)] in many cases compute monotone sequences.
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interval analysis
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matrix inversion
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Schulz's method
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inverse
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monotonicity
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