Basin attractors for various methods

@article{Scott2011BasinAF,
  title={Basin attractors for various methods},
  author={Melvin Scott and Beny Neta and Changbum Chun},
  journal={Applied Mathematics and Computation},
  year={2011},
  volume={218},
  pages={2584-2599}
}
M. Scott et al. / Applied Mathematics and Computation 218 (2011) 2584–2599 2585 (1) How does the basin of attraction differ for algorithms with the same order of convergence. (2) How does the basin of attraction differ for algorithms with different order of convergence. (3) Can the differences be used to compare various algorithms? In this paper we will discuss some qualitative issues using the basin of attraction as a criterion for comparison. To this end, we shall recall some preliminaries… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 18 references

A new

  • E. Halley
  • exact and easy method of finding the roots of…
  • 1694
Highly Influential
12 Excerpts

Dynamics in One Complex Variable

  • J. Milnor
  • third ed., Annals of Mathematics Studies, Number…
  • 2006
Highly Influential
7 Excerpts

Attractor Basins of Various Root-Finding Methods, M.S

  • B. D. Stewart
  • thesis, Naval Postgraduate School, Department of…
  • 2001
Highly Influential
3 Excerpts

On a family of multipoint methods for nonlinear equations

  • B. Neta
  • Int. J. Comput. Math. 9
  • 1981
1 Excerpt

A family of one point iteration formulae for finding roots

  • D. B. Popovski
  • Int. J. Comput. Math. 8
  • 1980
2 Excerpts

A sixth order family of methods for nonlinear equations

  • B. Neta
  • Int. J. Comput. Math. 7
  • 1979
1 Excerpt

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