Root-finding: from Newton to Halley and beyond

Published 19 Dec 2023 in math.OC, cs.NA, math.NA, and q-fin.CP | (2312.12305v1)

Abstract: We give a new improvement over Newton's method for root-finding, when the function in question is doubly differentiable. It generally exhibits faster and more reliable convergence. It can be also be thought of as a correction to Halley's method, as this can exhibit undesirable behaviour.

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Authors (1)

Richard J. Martin

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