How to Improve the Domain of Starting Points for Steffensen's Method
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Universidad de La Rioja
info
ISSN: 0022-2526
Argitalpen urtea: 2014
Alea: 132
Zenbakia: 4
Orrialdeak: 354-380
Mota: Artikulua
Beste argitalpen batzuk: Studies in Applied Mathematics
Lotura duten proiektuak
Laburpena
We analyze the semilocal convergence of Steffensen's method, using a novel technique, which is based on recurrence relations, for solving systems of nonlinear equations. This technique allows analyzing the convergence of Steffensen's method to solutions of equations, where the function involved can be both differentiable and nondifferentiable. Moreover, this technique also allows enlarging the domain of starting points for Steffensen's method from certain predictions with the simplified Steffensen method. © 2013 by the Massachusetts Institute of Technology.