An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations

DOI10.1016/S0096-3003(02)00414-9zbMath1027.65061OpenAlexW2019499439MaRDI QIDQ1405068

Zu He Shen, Jian-Lin Xia, Xin-Yuan Wu

Publication date: 25 August 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)00414-9

zbMATH Keywords

global convergencenumerical resultsiteration methodnonlinear equationsroot findingregula falsi method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (15)

On third-order convergent regula falsi method ⋮ An improved exponential regula falsi methods with quadratic convergence of both diameter and point for solving nonlinear equations ⋮ New modified regula falsi method for nonlinear equations ⋮ Solving nonlinear equations by a new derivative free iterative method ⋮ An improved bisection Newton-like method for enclosing simple zeros of nonlinear equations ⋮ Superlinear bracketing method for solving nonlinear equations ⋮ A new trigonometrical algorithm for computing real root of non-linear transcendental equations ⋮ A cubically convergent iteration method for multiple roots off(x)=0 ⋮ Improved Muller method and bisection method with global and asymptotic superlinear convergence of both point and interval for solving nonlinear 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 ⋮ Combined bracketing methods for solving nonlinear equations ⋮ An improved regula-falsi method for enclosing simple zeros of nonlinear equations ⋮ An exponential regula falsi method for solving nonlinear equations ⋮ A common framework for modified regula falsi methods and new methods of this kind

Cites Work

• Unnamed Item
• Some efficient methods for enclosing simple zeros of nonlinear equations
• 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

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