A free-derivative iteration method of order three having convergence of both point and interval for nonlinear equations

DOI10.1016/S0096-3003(02)00029-2zbMath1030.65047OpenAlexW1979349464MaRDI QIDQ1406053

Yiran Zhu, Xin-Yuan Wu

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00029-2

zbMATH Keywords

algorithmconvergencecomparison of methodsnumerical resultsnonlinear equationsSteffensen methoddeviative-free methodfree-derivative iteration methodNewton emthod

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (8)

On third-order convergent regula falsi method ⋮ A cubic convergent iterative method for enclosing simple roots of nonlinear equations ⋮ A superlinear scaling factor regula falsi root finder that detects the simple or multiple character of the root ⋮ An improved bisection Newton-like method for enclosing simple zeros of nonlinear equations ⋮ A new trigonometrical algorithm for computing real root of non-linear transcendental equations ⋮ An improved class of regula falsi methods of third order for solving nonlinear equations in \(\mathbb R\) ⋮ An improved regula-falsi method for enclosing simple zeros of nonlinear equations ⋮ A common framework for modified regula falsi methods and new methods of this kind

Cites Work

• On Q-order and R-order of convergence
• New high-order convergence iteration methods without employing derivatives for solving nonlinear equations

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