Fixed Point and Newton’s Methods in the Complex Plane

François Dubeau and Calvin Gnang

Journal of Complex Analysis, 2018, vol. 2018, 1-11

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljca:7289092

DOI: 10.1155/2018/7289092

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