Approximating solutions of equations using Newton's method with a modified Newton's method iterate as a starting point
In this study we are concerned with the problem of approximating a locally unique solution of an equation in a Banach space setting using Newton's and modified Newton's methods. We provide weaker convergence conditions for both methods than before [6]-[8]. Then, we combine Newton's w...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2007-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/862 |