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Note on weaker convergence conditions for Newton iteration. (Chinese. English summary) Zbl 1043.65075

The convergence of the Newton method under some weak convergence conditions is established. A result on the existence of a unique solution for the operator equation is obtained by using a technique based on a new system of recurrence relations.

MSC:

65J15 Numerical solutions to equations with nonlinear operators
47J25 Iterative procedures involving nonlinear operators
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