Mean value forms in interval analysis

DOI10.1007/BF02259640zbMath0439.65027OpenAlexW1552041808MaRDI QIDQ1142535

Kaj Madsen, Ole Caprani

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02259640

zbMATH Keywords

mean value formcentered forminclusion monotonicityinterval extension of a function

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30)

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Inclusion functions and global optimization ⋮ Interval methods for fixed-point problems ⋮ Interval Taylor forms ⋮ Bernstein form is inclusion monotone ⋮ Optimal centered forms ⋮ Certified numerical real root isolation for bivariate nonlinear systems ⋮ A Branch-and-Prune Method for Global Optimization ⋮ A Theory of Interval Iteration ⋮ Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie ⋮ Solution of finite systems of equations by interval iteration ⋮ On the Fuzzy Internal Rate of Return ⋮ A new method for solving interval and fuzzy equations: linear case ⋮ A gentle introduction to Numerica ⋮ Centered forms and interval operators ⋮ Computing the range of values of real functions with accuracy higher than second order ⋮ Sufficient optimality criteria for optimization problem involving pseudoconvex interval objective function ⋮ Optimal centers in branch-and-prune algorithms for univariate global optimization ⋮ Expansion of Generalized Hukuhara Differentiable Interval Valued Function ⋮ A generalization of the method of upper and lower solutions for integral equations

Cites Work

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• True worst-case analysis of linear electrical circuits by interval arithmetic
• Computation of rational interval functions
• Numerical Integration and the Solution of Integral Equations by the Use of Riemann Sums

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