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- Title
Extended local convergence for some inexact methods with applications.
- Authors
Argyros, Ioannis K.; Legaz, M. J.; Magreñán, Á. A.; Moreno, D.; Sicilia, Juan Antonio
- Abstract
We present local convergence results for inexact iterative procedures of high convergence order in a normed space in order to approximate a locally unique solution. The hypotheses involve only Lipschitz conditions on the first Fréchet-derivative of the operator involved. Earlier results involve Lipschitz-type hypotheses on higher than the first Fréchet-derivative. The applicability of these methods is extended this way and under less computational cost. Special cases and applications are provided to show that these new results can apply to solve these equations.
- Subjects
HYPOTHESIS; EQUATIONS
- Publication
Journal of Mathematical Chemistry, 2019, Vol 57, Issue 5, p1508
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-019-01004-5