On interval enclosures using slope arithmetic
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Publication:920581
DOI10.1016/0096-3003(90)90124-LzbMath0708.65046OpenAlexW2094231719MaRDI QIDQ920581
Publication date: 1990
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0096-3003(90)90124-l
numerical examplesinclude of the range of factorable functionsPASCAL-SC codesecond order interval slope arithmetic
Related Items (12)
Computing the range of values of real functions using B-spline form ⋮ An interval algorithm for constrained global optimization ⋮ An interval algorithm for nondifferentiable global optimization ⋮ A second-order pruning step for verified global optimization ⋮ Computing slope enclosures by exploiting a unique point of inflection ⋮ Solving interval constraints by linearization in computer-aided design ⋮ Applications of interval arithmetic in non-smooth global optimization ⋮ On first zero crossing points. ⋮ Slope tests for Newton-type methods ⋮ A dynamical interval Newton method ⋮ A new pruning test for finding all global minimizers of nonsmooth functions ⋮ Outer interval solution of the eigenvalue problem under general form parametric dependencies
Uses Software
Cites Work
- Automatic evaluation of derivatives
- Truncated Newton method for sparse unconstrained optimization using automatic differentiation
- Numerical derivatives and nonlinear analysis
- Global optimization using interval analysis - the multi-dimensional case
- Global optimization using interval analysis: The one-dimensional case
- Automatic differentiation of large sparse systems
- Interval Slopes for Rational Functions and Associated Centered Forms
- Interval Methods for Systems of Equations
- The Arithmetic of Differentiation
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