A globally convergent method for solving nonlinear equations without the differentiability condition (Q2564500)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A globally convergent method for solving nonlinear equations without the differentiability condition |
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A globally convergent method for solving nonlinear equations without the differentiability condition (English)
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21 April 1997
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The author provides a general iterative method which computes the maximal real root \(x_{\max}\) of a one-variable Lipschitzian function in a given interval. It is shown that the method is globally convergent provided that some real parameter or the algorithm has been chosen appropriately. [There are Lipschitz functions for which it is known that it is difficult to find their zeros. Therefore, a big portion of the difficulties is transported to the determination of an appropriate parameter].
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zeros of functions
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global convergence
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iterative method
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maximal real root
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