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An infinite family of one-step iterators for solving nonlinear equations to increase the order of convergence and a new algorithm of global convergence

✍ Scribed by Moreno, J.


Book ID
121183019
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
486 KB
Volume
66
Category
Article
ISSN
0898-1221

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In this paper, for a Newton-like method for solving block nonlinear equations arising in the numerical solution of stiff ODEs y' = f(y), which involves a smaller quantity of computation, we prove that it is convergent and the convergence is independent of the stiffness of f(y), and give the error es