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On the Evaluation of Rational Functions in Interval Arithmetic

https://doi.org/10.1137/0718059
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/zamm.19720521021openalex-snapshot
L. B. Rall, Computational Solution of Nonlinear Operator Equations. VIII+224 S. New York/London/Sydney/Toronto 1969. John Wiley and Sons, Inc. Preis geb. 7.00 £
inferredcites →https://doi.org/10.1007/bf01932300openalex-snapshot
Quadratic convergence in interval arithmetic, part I
inferredcites →https://doi.org/10.1137/0717055openalex-snapshot
Centered Forms
inferredcites →https://doi.org/10.1137/1.9781611970906openalex-snapshot
Methods and Applications of Interval Analysis
inferredcites →https://doi.org/10.2307/2004635openalex-snapshot
Topics in Interval Analysis
inferredcites →https://doi.org/10.2307/2004896openalex-snapshot
Computational Solution of Nonlinear Operator Equations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/bf02240187openalex-snapshot
The centered form and the mean value form—a necessary condition that they yield the range
inferred← citeshttps://doi.org/10.1007/bf02242276openalex-snapshot
Computing the range of values of real functions with accuracy higher than second order
inferred← citeshttps://doi.org/10.1016/0097-8493(85)90031-7openalex-snapshot
On interval arithmetic range approximation methods of polynomials and rational functions
inferred← citeshttps://doi.org/10.1016/0377-0427(87)90108-7openalex-snapshot
Rational circular complex centered forms
inferred← citeshttps://doi.org/10.1016/0898-1221(93)90251-popenalex-snapshot
A family of centered forms for rational functions
inferred← citeshttps://doi.org/10.1016/b978-0-08-091636-1.50009-5openalex-snapshot
INTERVAL EVALUATION AND RANGE OF REAL FUNCTIONS
inferred← citeshttps://doi.org/10.1016/b978-0-08-091636-1.50032-0openalex-snapshot
BIBLIOGRAPHY
inferred← citeshttps://doi.org/10.1533/9780857099518.1openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1533/9780857099518.109openalex-snapshot
Intersection Tests
inferred← citeshttps://doi.org/10.1533/9780857099518.13openalex-snapshot
Interval Analysis
inferred← citeshttps://doi.org/10.1533/9780857099518.185openalex-snapshot
The SCCI-Hybrid Method for 2D-Curve Tracing
inferred← citeshttps://doi.org/10.1533/9780857099518.219openalex-snapshot
Interval Versions of Bernstein Polynomials, Bézier Curves and the de Casteljau Algorithm
inferred← citeshttps://doi.org/10.1533/9780857099518.241openalex-snapshot
Robust Computations of Selected Discrete Problems
inferred← citeshttps://doi.org/10.1533/9780857099518.297openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1533/9780857099518.61openalex-snapshot
Interval Newton Methods
inferred← citeshttps://doi.org/10.1533/9780857099518.79openalex-snapshot
The Exact Sign of Sum Algorithm (ESSA)
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