A note on the Halley method in Banach spaces. (English) Zbl 0787.65034
For the solution of an equation \(P(x)=0\) involving a nonlinear operator mapping \(P\) on a Banach space, the authors consider an equivalent form of Halley’s method and prove a semi-local convergence result under the usual Newton-Kantorovich hypothesis.
Reviewer: W.C.Rheinboldt (Pittsburgh)
MSC:
| 65J15 | Numerical solutions to equations with nonlinear operators |
| 47J25 | Iterative procedures involving nonlinear operators |
References:
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