A general three-step class of optimal iterations for nonlinear equations

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

Mathematics Subject Classification ID

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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