Interval Ostrowski-type methods with guaranteed convergence
From MaRDI portal
Publication:467129
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
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
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
