Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device

DOI10.1080/00207160.2023.2217307MaRDI QIDQ6117130

Eulalia Martínez, José L. Hueso, Unnamed Author

Publication date: 16 August 2023

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

zbMATH Keywords

iterative processesdivided differencesconvergence ordercomputational efficiency indexderivative-free iterative processes

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

• On a Steffensen-like method for solving nonlinear equations
• Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems
• General efficient class of Steffensen type methods with memory for solving systems of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• On Steffensen's method on Banach spaces
• Maximum efficiency for a family of Newton-like methods with frozen derivatives and some applications
• A Steffensen's type method in Banach spaces with applications on boundary-value problems
• A class of efficient high‐order iterative methods with memory for nonlinear equations and their dynamics
• Optimal Order of One-Point and Multipoint Iteration
• The Newton-Kantorovich Theorem
• A modified Newton-Jarratt's composition
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