An improved exponential regula falsi methods with quadratic convergence of both diameter and point for solving nonlinear equations

DOI10.1016/j.apnum.2006.01.001zbMath1105.65056OpenAlexW2088762737MaRDI QIDQ857027

Weiguo Li, Jinhai Chen

Publication date: 14 December 2006

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.01.001

zbMATH Keywords

numerical experiments

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (5)

Unnamed Item ⋮ 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 \(\mathbb R\) ⋮ New predictor-corrector methods for solving nonlinear equations ⋮ A common framework for modified regula falsi methods and new methods of this kind

Cites Work

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• Some efficient methods for enclosing simple zeros of nonlinear equations
• An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations
• On a class of quadratic convergence iteration formulae without derivatives
• On Enclosing Simple Roots of Nonlinear Equations
• A modified regula falsi method for computing the root of an equation
• The “Pegasus” method for computing the root of an equation
• An improved pegasus method for root finding
• New high-order convergence iteration methods without employing derivatives for solving nonlinear equations
• Quadratically convergent multiple roots finding method without derivatives

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