
doi: 10.1007/bf01582251
Newton-like iterative methods for nonlinear equations on Banach spaces are considered. It is proved how the local convergence behaviour of the quasi-Newton method in the infinite dimensional setting is affected by the refinement strategy. Applications to boundary value problems and integral equations are included.
integral equations, Nonlinear programming, boundary value problems, nonlinear equations on Banach spaces, Numerical computation of solutions to systems of equations, Newton-like iterative methods, quasi-Newton method, Newton-type methods, interpolation
integral equations, Nonlinear programming, boundary value problems, nonlinear equations on Banach spaces, Numerical computation of solutions to systems of equations, Newton-like iterative methods, quasi-Newton method, Newton-type methods, interpolation
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 19 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
