Fourth-order two-step iterative methods for determining multiple zeros of non-linear equations

DOI10.1080/00207160701210646zbMath1122.65047OpenAlexW2132916698MaRDI QIDQ5758193

Naila Rafiq, Nazir Ahmad Mir

Publication date: 3 September 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701210646

zbMATH Keywords

numerical examplespredictor-corrector methodsnon-linear equationsmultiple zerosfourth-order convergencetwo-step iterative methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (2)

Third-order and fourth-order iterative methods for finding multiple and distinct zeros of non-linear equations ⋮ Geometrically constructed families of Newton's method for unconstrained optimization and nonlinear equations

Cites Work

• Iterative methods improving Newton's method by the decomposition method
• On some third-order iterative methods for solving nonlinear equations
• On new exponential quadratically convergent iterative formulae
• Modified Newton's method with third-order convergence and multiple roots
• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• Computing multiple roots of inexact polynomials
• A method for solving nonlinear equations

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