A general three-step class of optimal iterations for nonlinear equations
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Publication:410403
DOI10.1155/2011/469512zbMath1235.74002OpenAlexW2170515392WikidataQ58693098 ScholiaQ58693098MaRDI QIDQ410403
Abtin Afghani, Solat Karimi Vanani, Fazlollah Soleymani
Publication date: 3 April 2012
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2011/469512
Numerical computation of roots of polynomial equations (65H04) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)
Related Items (12)
Some modifications of King's family with optimal eighth order of convergence ⋮ A class of three-step derivative-free root solvers with optimal convergence order ⋮ Optimal Steffensen-type methods with eighth order of convergence ⋮ Some iterative methods free from derivatives and their basins of attraction for nonlinear equations ⋮ A globally convergent variant of mid-point method for finding the matrix sign ⋮ Optimized Steffensen-type methods with eighth-order convergence and high efficiency index ⋮ A new optimal eighth-order Ostrowski-type family of iterative methods for solving nonlinear equations ⋮ Numerical solution of nonlinear equations by an optimal eighth-order class of iterative methods ⋮ Novel computational iterative methods with optimal order for nonlinear equations ⋮ Two optimal general classes of iterative methods with eighth-order ⋮ New iterative methods for finding matrix sign function: derivation and application ⋮ Some matrix iterations for computing matrix sign function
Cites Work
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- An improvement of Ostrowski's and King's techniques with optimal convergence order eight
- Some families of two-step simultaneous methods for determining zeros of nonlinear equations
- Some new iterative methods for nonlinear equations
- Accurate fourteenth-order methods for solving nonlinear equations
- Numerical stability test of neutral delay differential equations
- Optimal Order of One-Point and Multipoint Iteration
- A new family of modified Ostrowski's methods with accelerated eighth order convergence
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