On the comparison of a Kantorovich-type and Moore theorems (Q1032537)
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scientific article; zbMATH DE number 5620566
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the comparison of a Kantorovich-type and Moore theorems |
scientific article; zbMATH DE number 5620566 |
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On the comparison of a Kantorovich-type and Moore theorems (English)
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26 October 2009
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\textit{S. Zhue} and \textit{M. A. Wolfe} [Nonlinear Anal., Theory Methods Appl. 15, No.~3, 229--232 (1990; Zbl 0727.65045)] showed that the hypotheses of the affine invariant Moore theorem for solving nonlinear equations are always satisfied when those of the Kantorovich theorem hold, but not vice versa. In this paper it is shown that this result is not true in general for a weaker version of the Kantorovich theorem.
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Newton's method
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Kantorovich theorem
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Moore theorem
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nonlinear equations
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