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Modified Jarratt method for computing multiple roots
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DOI：10.1016/j.amc.2010.06.031.png)
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摘要
En 中文
In this paper, we present a fourth order method for computing multiple roots of nonlinear equations. The method is based on Jarratt scheme for simple roots [P. Jarratt, Some efficient fourth order multipoint methods for solving equations, BIT 9 (1969) 119-124]. The method is optimal, since it requires three evaluations per step, namely one evaluation of function and two evaluations of first derivative. The efficacy is tested on a number of relevant numerical problems. It is observed that the present scheme is competitive with other similar robust methods. (C) 2010 Elsevier Inc. All rights reserved.
Keyword:
Rootfinding
Jarratt method
Multiple roots
Order of convergence
Efficiency