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Solution of Non-linear Equations in One Variable: Interval Methods

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Abstract

As we have seen in chapter 5, Newton’s method often behaves erratically at a distance from a root. For a general function, if the starting point is not sufficiently close to a root, the sequence of iterates may diverge.

If you knows of a better ’ole, go to it.

C. B. Bairnsfather, Fragments from France

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© 1983 Springer Science+Business Media New York

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Dew, P.M., James, K.R. (1983). Solution of Non-linear Equations in One Variable: Interval Methods. In: Introduction to Numerical Computation in Pascal. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3940-4_6

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  • DOI: https://doi.org/10.1007/978-1-4757-3940-4_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-3942-8

  • Online ISBN: 978-1-4757-3940-4

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