Slope enclosures for functions given by two or more branches

DOI10.1007/s10543-008-0194-8zbMath1162.65340OpenAlexW2065055391MaRDI QIDQ1014884

J. Martínez

Publication date: 29 April 2009

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-008-0194-8

zbMATH Keywords

numerical examplesinterval analysisautomatic differentiationslopeautomatic slope computationif-then-else functionslope enclosure

Mathematics Subject Classification ID

General methods in interval analysis (65G40) Numerical differentiation (65D25) Algorithms with automatic result verification (65G20)

Related Items (1)

A second-order pruning step for verified global optimization

Uses Software

• INTOPT_90

Cites Work

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• The automatic computation of second-order slope tuples for some nonsmooth functions
• A second-order pruning step for verified global optimization
• Automatic differentiation: techniques and applications
• Interval forms of Newtons method
• A nonsmooth global optimization technique using slopes: The one-dimensional case
• Rigorous global search: continuous problems
• On the proofs of some statements concerning the theorems of Kantorovich, Moore, and Miranda
• Interval Slopes for Rational Functions and Associated Centered Forms
• Interval Methods for Systems of Equations

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