Interval Ostrowski-type methods with guaranteed convergence

DOI10.1007/s11565-012-0174-4zbMath1310.65053OpenAlexW1995736846MaRDI QIDQ467129

J. Herrera, D. Rodríguez-Gómez

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-012-0174-4

zbMATH Keywords

nonlinear equationconvergence raterootinterval versionOstrowski method

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05)

Related Items (6)

Producing an interval extension of the King method ⋮ Higher order multi-step interval iterative methods for solving nonlinear equations in \(\mathbb R^n\) ⋮ Unnamed Item ⋮ Interval methods with fifth order of convergence for solving nonlinear scalar equations ⋮ Multipoint iterative methods for finding all the simple zeros in an interval ⋮ A new proof of interval extension of the classic Ostrowski's method and its modified method for computing the enclosure solutions of nonlinear equations

Uses Software

• INTLAB

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of Steffensen type methods with optimal order of convergence
• A family of modified Ostrowski's methods with optimal eighth order of convergence
• Eighth-order methods with high efficiency index for solving nonlinear equations
• New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence
• Interval analysis: Theory and applications
• A new family of eighth-order iterative methods for solving nonlinear equations
• Three-step iterative methods with optimal eighth-order convergence
• An improvement to Ostrowski root-finding method
• Introduction to Interval Analysis
• Interval Methods for Systems of Equations
• Optimal Order of One-Point and Multipoint Iteration
• Some efficient fourth order multipoint methods for solving equations
• Some Fourth Order Multipoint Iterative Methods for Solving Equations
• A Family of Fourth Order Methods for Nonlinear Equations
• Computer arithmetic and validity. Theory, implementation, and applications

This page was built for publication: Interval Ostrowski-type methods with guaranteed convergence