ON THE CONVERGENCE OF THE HALLEY METHOD FOR NONLINEAR EQUATION OF ONE VARIABLE

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Published: Dec 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4517
Keywords:
Nonlinear complex equations Complex roots Halley Iteration method the Newton-Kantorovich assumptions Optimal error constant Standard Kantorovich type convergence

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DONG CHEN
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, U.S. A.

Abstract




In this paper, under standard Newton-Kantorovich condi­ tions, we establish the Kantorovich convergence theorem and give the optimal error bound for Halley iteation method for solving nonlinear complex equations on the complex plane.




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How to Cite
CHEN, D. (1993). ON THE CONVERGENCE OF THE HALLEY METHOD FOR NONLINEAR EQUATION OF ONE VARIABLE. Tamkang Journal of Mathematics, 24(4), 461–467. https://doi.org/10.5556/j.tkjm.24.1993.4517
Issue
Vol. 24 No. 4 (1993)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

References

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