An improved bisection Newton-like method for enclosing simple zeros of nonlinear equations

DOI10.1007/S40324-015-0050-0zbMath1332.65067OpenAlexW2181528125MaRDI QIDQ905071

N. E. Zubov

Publication date: 14 January 2016

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-015-0050-0

zbMATH Keywords

algorithmconvergenceiteration methodnonlinear equationsnumerical experimentbisection methodsimple rootenclosing methodsfourth-order derivative free Newton-like method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Cites Work

• Unnamed Item
• An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations
• A free-derivative iteration method of order three having convergence of both point and interval for nonlinear equations
• On a class of quadratic convergence iteration formulae without derivatives
• 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

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