We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show how the auxiliary functions may be constructed and we analyze some conditions on them which lead to monotone approximations. We obtain some local convergence results, which are illustrated by some numerical examples.
nonlinear equations in R; Steffensen type method; inverse interpolation Lagrange polynomial of second degree; monotone iterations; local convergence; numerical examples.
I. Păvăloiu, E. Cătinaş, On a Steffensen type method, IEEE Proceedings, 2007, pp. 369-375.
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Ninth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2007)
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