On computational efficiency for multi-precision zero-finding methods

DOI10.1016/j.amc.2005.12.060zbMath1148.65033OpenAlexW2005303741MaRDI QIDQ945380

Miquel Grau-Sánchez, José Luis Dıáz-Barrero

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.12.060

zbMATH Keywords

iterative methodsnonlinear equationscomputational efficiencyorder of convergencemulti-precision arithmetic

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)

Related Items (9)

Improvements of the efficiency of some three-step iterative like-Newton methods ⋮ An improvement of the Newton method for solving symmetric algebraic Riccati equations ⋮ Zero-finder methods derived using Runge-Kutta techniques ⋮ On the local convergence of a fifth-order iterative method in Banach spaces ⋮ Variants of a classic Traub's result ⋮ On the local convergence of a third order family of iterative processes ⋮ Some variants of the Chebyshev–Halley family of methods with fifth order of convergence ⋮ Existence, localization and approximation of solution of symmetric algebraic Riccati equations ⋮ A Hummel \& Seebeck family of iterative methods with improved convergence and efficiency

Cites Work

• An improvement of the Euler-Chebyshev iterative method
• An improvement to the computing of nonlinear equation solutions
• A variant of Cauchy's method with accelerated fifth-order convergence.
• An improvement to Ostrowski root-finding method
• Fast multiplication of large numbers
• Fast Multiple-Precision Evaluation of Elementary Functions
• On the Davidenko-Branin Method for Solving Simultaneous Nonlinear Equations
• More on squaring and multiplying large integers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On computational efficiency for multi-precision zero-finding methods