| MSC: | 65F99 | Numerical linear algebra - None of the above, but in this section | |
68W25 | Approximation algorithms |
Abstract:
In this paper, we present new results concerning α-theory for the Hald method
to approximate a zero of an analytic function defined on Banach spaces. Hald’s method is
convenient since there is a quadratic convergence towards the zero and the calculation of the
inverse of the operator is not required. We also present a numerical experiment to illustrate
our results to solve a classical Fredholm integral equation.
Keywords
α-theory, Hald’s method, Newton’s method, Ulm’s method.