Higher order Newton-like methods for root finding

There are variations on Newton’s root finding method that use higher derivatives and converge faster. Alston Householder developed a sequence of such methods of the form where the superscripts in parentheses indicate derivatives. When n = 2, Householder’s method reduces to Newton’s method. Once Newton’s method is close enough to a root, the error is … Continue reading Higher order Newton-like methods for root finding

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