Improved convergence analysis for the secant method based on a certain type of recurrence relations. (English) Zbl 1060.65058
Let \(F\) be a nonlinear operator mapping a convex subset of a Banach space into another Banach space. The author proves local and semilocal convergence of the secant method towards a locally unique solution of \(F(x)=0\). Moreover, error bounds are provided.
Reviewer: Etienne Emmrich (Berlin)
MSC:
| 65J15 | Numerical solutions to equations with nonlinear operators |
| 47J25 | Iterative procedures involving nonlinear operators |
References:
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