Bounding the zeros of an interval equation

DOI10.1016/j.amc.2009.03.041zbMath1169.65041OpenAlexW2016486224MaRDI QIDQ1029384

T. N. Grapsa, I. A. Nikas

Publication date: 10 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.03.041

zbMATH Keywords

numerical resultsinterval arithmeticresult verificationinterval Newton methodinterval zerosinterior part of interval zerointerval equation

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05) Algorithms with automatic result verification (65G20)

Related Items (4)

Estimation of algebraic solution by limiting the solution set of an interval linear system ⋮ On the algebraic solution of fuzzy linear systems based on interval theory ⋮ A new approach to obtain algebraic solution of interval linear systems ⋮ An algorithm to determine linear independence of a set of interval vectors

Uses Software

• INTLAB

Cites Work

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• Robust \(D\)-stability via positivity
• Application of interval Newton's method to chemical engineering problems
• Robust and efficient ray intersection of implicit surfaces
• A new parallel method for verified global optimization
• Interval Methods for Systems of Equations
• A globally convergent interval method for computing and bounding real roots
• Global Optimization and Constraint Satisfaction

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