6533b7d7fe1ef96bd1268506
RESEARCH PRODUCT
Third-order iterative methods without using any Fréchet derivative
Sonia BusquierVicente F. CandelaSergio Amatsubject
Computational MathematicsIterative methodFréchet spaceBounded functionApplied MathematicsMathematical analysisConvergence (routing)Banach spaceFréchet derivativeApplied mathematicsQuasi-derivativeCauchy sequenceMathematicsdescription
AbstractA modification of classical third-order methods is proposed. The main advantage of these methods is they do not need to evaluate any Fréchet derivative. A convergence theorem in Banach spaces, just assuming the second divided difference is bounded and a punctual condition, is analyzed. Finally, some numerical results are presented.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-09-01 | Journal of Computational and Applied Mathematics |