Basins of attraction for several third order methods to find multiple roots of nonlinear equations
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There are several third order methods for solving a nonlinear algebraic equation having roots of a given multiplicity m. Here we compare a recent family of methods of order three to Euler-Cauchy's method which is found to be the best in the previous work. There are fewer fourth order methods for multiple roots but we will not include them here.
The article of record as published may be found at http://dx.doi.org/10.1016/j.amc.2015.06.068
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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