Some sixth-order variants of Ostrowski root-finding methods
From MaRDI portal
Publication:990615
DOI10.1016/j.amc.2007.03.074zbMath1193.65055OpenAlexW1994625348MaRDI QIDQ990615
Publication date: 1 September 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.03.074
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Cites Work
- Unnamed Item
- Unnamed Item
- Iterative methods improving Newton's method by the decomposition method
- An improvement of the Euler-Chebyshev iterative method
- The improvements of Chebyshev-Halley methods with fifth-order convergence
- A family of modified Ostrowski methods with accelerated sixth order convergence
- Some improvements of Jarratt's method with sixth-order convergence
- An improvement to Ostrowski root-finding method
