A new iterative method of asymptotic order 1+√2 for the computation of fixed points.

Authors :: Argyros, Ioannis K.
Source :: International Journal of Computer Mathematics. Nov2005, Vol. 82 Issue 11, p1413-1428. 16p.
Publication Year :: 2005
Abstract: We introduce a new iterative method of asymptotic order 1+√2 for approximating fixed points of non-linear equations in a Banach space as well as in a partially topological space. The method requires less computational cost than others in the literature and uses only divided differences of order 1. [ABSTRACT FROM AUTHOR]

Subjects :: *ASYMPTOTIC expansions
*TOPOLOGY
*TOPOLOGICAL spaces
*COMPUTATIONAL complexity
*COMPUTATIONAL mathematics
*COMPUTER algorithms

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