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Fixed Point and Newton’s Methods in the Complex Plane

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  • François Dubeau
  • Calvin Gnang

Abstract

We revisit the necessary and sufficient conditions for linear and high order of convergence of fixed point and Newton’s methods in the complex plane. Schröder’s processes of the first and second kind are revisited and extended. Examples and numerical experiments are included.

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  • François Dubeau & Calvin Gnang, 2018. "Fixed Point and Newton’s Methods in the Complex Plane," Journal of Complex Analysis, Hindawi, vol. 2018, pages 1-11, January.
    • Handle: RePEc:hin:jnljca:7289092
    DOI: 10.1155/2018/7289092
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