Modifying Kurchatov's method to find multiple roots of nonlinear equations

DOI10.1016/J.APNUM.2023.12.009MaRDI QIDQ6546880

Juan Ramón Torregrosa Sánchez, Neus Garrido, Alicia Cordero, Paula Triguero-Navarro

Publication date: 30 May 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

iterative methodsmultiple rootsdynamical analysisKurchatov scheme

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX) Nonlinear algebraic or transcendental equations (65Hxx)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• On the development of iterative methods for multiple roots
• About infinitely many algorithms for the solution of equations.
• A new higher-order optimal derivative free scheme for multiple roots
• Variants of Newton's method using fifth-order quadrature formulas
• A family of optimal fourth‐order methods for multiple roots of nonlinear equations

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