Error analysis of a new transformation for multiple zeros finding free from derivative evalua\-tions

DOI10.1016/S0898-1221(03)90211-2zbMath1050.65053OpenAlexW2075771881MaRDI QIDQ597249

Xin-Yuan Wu, Jian-Lin Xia

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90211-2

zbMATH Keywords

error analysisiteration methodmultiple zeros

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (4)

An improved method for finding multiple roots and it's multiplicity of nonlinear equations in \(\mathbb R\) ⋮ 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 ⋮ Exponential state estimation for impulsive neural networks with time delay in the leakage term

Cites Work

• Derivative free multipoint iterative methods for simple and multiple roots
• A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeros
• A new continuation Newton-like method and its deformation
• The behavior of a multiplicity independent root-finding scheme in the presence of error
• The Convergence of Multipoint Iterations to Multiple Zeros
• A secant method for multiple roots
• Derivative-Free Iteration Processes
• 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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