Journal of computational and applied mathematics, 2011-03, Vol.235 (10), p.3195-3206
2011
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- Autor(en) / Beteiligte
- Titel
- On the semilocal convergence of efficient Chebyshev–Secant-type methods
- Ist Teil von
- Journal of computational and applied mathematics, 2011-03, Vol.235 (10), p.3195-3206
- Ort / Verlag
- Kidlington: Elsevier B.V
- Erscheinungsjahr
- 2011
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- We introduce a three-step Chebyshev–Secant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for (CSTM) using recurrence relations. Numerical examples validating our theoretical results are also provided in this study.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0377-0427eISSN: 1879-1778DOI: 10.1016/j.cam.2011.01.005Titel-ID: cdi_proquest_miscellaneous_1671244695
- Format
- –
- Schlagworte
- Banach space, Chebyshev approximation, Chebyshev’s method, Computation, Computational efficiency, Computing time, Convergence, Difference and functional equations, recurrence relations, Divided difference, Exact sciences and technology, Functional analysis, Global analysis, analysis on manifolds, Mathematical analysis, Mathematical models, Mathematics, Newton’s method, Nonlinear equations, Numerical analysis, Numerical analysis. Scientific computation, Recurrence relations, Sciences and techniques of general use, The secant method, Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds