## Modified Jarratt method for computing multiple roots.(English)Zbl 1203.65084

Construction of iterative methods of optimal order for multiple roots is a difficult problem in numerical analysis. A fourth order method for computing multiple roots of nonlinear equations $$(f(x)=0)$$ is presented. The method is based on the Jarratt scheme for simple roots. The method is optimal, since it requires three evaluations per step. The efficacy is tested on the a number of relevant numerical problems.

### MSC:

 65H05 Numerical computation of solutions to single equations

Mathematica
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### References:

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