Multi-step root solvers of Traub's type in real interval arithmetic

DOI10.1016/j.amc.2014.09.124zbMath1338.65133OpenAlexW2075462851MaRDI QIDQ298478

Miodrag S. Petković

Publication date: 20 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.124

zbMATH Keywords

convergenceinterval arithmeticnonlinear equationsinclusion methodsmultipoint methods

Mathematics Subject Classification ID

General methods in interval analysis (65G40) Numerical computation of solutions to single equations (65H05)

Related Items (3)

Interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations ⋮ Higher order multi-step interval iterative methods for solving nonlinear equations in \(\mathbb R^n\) ⋮ Interval extension of the three-step Kung and Traub's method

Uses Software

• Mathematica
• INTLAB
• Mulprec

Cites Work

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• Multipoint methods for solving nonlinear equations: a survey
• On some applications of circular complex functions
• Halley-like method with corrections for the inclusion of polynomial zeros
• Fast and parallel interval arithmetic
• Iterative methods for simultaneous inclusion of polynomial zeros
• Circular arithmetic and the determination of polynomial zeros
• On an Efficient Family of Simultaneous Methods for Finding Polynomial Multiple Zeros
• Numerical Methods in Scientific Computing, Volume I
• Introduction to Interval Analysis
• Computer arithmetic and validity. Theory, implementation, and applications

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