Centered Forms

DOI10.1137/0717055zbMath0456.65019OpenAlexW4234731799MaRDI QIDQ3906311

H. Ratschek

Publication date: 1980

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0717055

zbMATH Keywords

interval analysisrational functionexplicit formulascentered formsinterval extension

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Approximation by rational functions (41A20)

Related Items (22)

Inclusion functions and global optimization ⋮ A family of centered forms for rational functions ⋮ Bernstein form is inclusion monotone ⋮ The number of centered forms for a polynomial ⋮ Formulation assistance for global optimization problems ⋮ Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie ⋮ Centered forms for functions in several variables ⋮ The circular complex centered form ⋮ The centered form for interval polynomials ⋮ Optimality of the centered form for polynomials ⋮ Bound constrained interval global optimization in the COCONUT environment ⋮ A family of centered forms for a polynomial ⋮ Inclusion isotonicity for circular centered forms in several complex variables ⋮ Rational circular complex centered forms ⋮ Centered forms and interval operators ⋮ Computing the range of values of real functions with accuracy higher than second order ⋮ A note on the circular complex centered form ⋮ How do you compute the midpoint of an interval? ⋮ Interval analysis: Theory and applications ⋮ The centered form and the mean value form - a necessary condition that they yield the range ⋮ A low complexity explicit rational centered form ⋮ Low complexity k-dimensional centered forms

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