A secant method for multiple roots

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1977 English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 17, pages 321-328 (issn: 0006-3835, eissn: 1572-9125,

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Authors: King, Richard F.;

doi: 10.1007/bf01932152

A secant method for multiple roots

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Abstract

A superlinear procedure for finding a multiple root is presented. In it the secant method is applied to the given function divided by a divided difference whose increment shrinks toward zero as the root is approached. Two function evaluations per step are required, but no derivatives need be calculated.

Related Organizations

Argonne National Laboratory
United States

Keywords

Numerical computation of solutions to single equations

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