On the Evaluation of Rational Functions in Interval Arithmetic

DOI10.1137/0718059zbMath0463.65029OpenAlexW1984765849MaRDI QIDQ3914325

G. E. Alefeld, Jon G. Rokne

Publication date: 1981

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

Full work available at URL: https://semanticscholar.org/paper/d0b65178016fa91b65b71165d631cdf424ac870d

zbMATH Keywords

interval arithmeticorder of convergencemean value formcentered form

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Computation of special functions and constants, construction of tables (65D20) Real rational functions (26C15)

Related Items (4)

A family of centered forms for rational functions ⋮ Rational circular complex centered forms ⋮ Computing the range of values of real functions with accuracy higher than second order ⋮ The centered form and the mean value form - a necessary condition that they yield the range

This page was built for publication: On the Evaluation of Rational Functions in Interval Arithmetic