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On the conditioning of polynomial and rational forms

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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/cpa.3160080107openalex-snapshot
Motivation for working in numerical analysis
inferredcites →https://doi.org/10.1016/0016-0032(64)90390-4openalex-snapshot
Rounding errors in algebraic processes
inferredcites →https://doi.org/10.1145/366663.366668openalex-snapshot
Polynomial evaluation revisited
inferredcites →https://doi.org/10.2307/2002959openalex-snapshot
Rounding Errors in Algebraic Processes
inferredcites →https://doi.org/10.6028/nbs.rpt.3371openalex-snapshot
Motivation for working in numerical analysis

What points at this work

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

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Implementation and testing of function software
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Approximation auf Gitterpunkten
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Absch�tzung der teilsummen reeller Polynome
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Untersuchungen �ber das Wachstum von Potenzreihenabschnitten mit Anwendungen f�r das Hornerschema
inferred← citeshttps://doi.org/10.1007/bf01438259openalex-snapshot
Auswertungsverfahren f�r Polynome in mehreren Variablen
inferred← citeshttps://doi.org/10.1007/bf03028345openalex-snapshot
Computing with barycentric polynomials
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On the conditioning of the Padé approximation problem
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Exact solutions for concentration dependent diffusion and the inverse complementary error function
inferred← citeshttps://doi.org/10.1016/0041-5553(71)90081-4openalex-snapshot
The stable calculation of polynomial values
inferred← citeshttps://doi.org/10.1016/0167-8396(87)90012-4openalex-snapshot
On the numerical condition of polynomials in Bernstein form
inferred← citeshttps://doi.org/10.1016/0377-0427(84)90016-5openalex-snapshot
Stability of the linear inequality method for rational Chebyshev approximation
inferred← citeshttps://doi.org/10.1016/0377-0427(94)00037-2openalex-snapshot
Incomplete partial fractions for parallel evaluation of rational matrix functions
inferred← citeshttps://doi.org/10.1016/b978-0-12-064850-4.50005-7openalex-snapshot
Computational Methods in Special Functions-A Survey
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Computers and the Multiplicity of Polynomial Roots
inferred← citeshttps://doi.org/10.1080/00207168708803575openalex-snapshot
Badness of small denominators in rational function evaluation
inferred← citeshttps://doi.org/10.1090/s0025-5718-1969-0242349-2openalex-snapshot
Chebyshev approximations for the exponential integral 𝐸𝑖(𝑥)
inferred← citeshttps://doi.org/10.1090/s0025-5718-1974-0373227-8openalex-snapshot
Error Analysis for Polynomial Evaluation
inferred← citeshttps://doi.org/10.1090/s0025-5718-68-99871-2openalex-snapshot
Chebyshev Approximations for the Fresnel Integrals
inferred← citeshttps://doi.org/10.1137/0204009openalex-snapshot
Computational Complexity and Numerical Stability
inferred← citeshttps://doi.org/10.1137/0703023openalex-snapshot
A Theory of Condition
inferred← citeshttps://doi.org/10.1137/0709003openalex-snapshot
The Use of Collocation as a Projection Method for Solving Linear Operator Equations
inferred← citeshttps://doi.org/10.1137/1012082openalex-snapshot
A Survey of Practical Rational and Polynomial Approximation of Functions
inferred← citeshttps://doi.org/10.1145/168173.168193openalex-snapshot
Algorithm 723: Fresnel integrals
inferred← citeshttps://doi.org/10.1145/362686.362696openalex-snapshot
Algorithm 385: Exponential integral E i (x)
inferred← citeshttps://doi.org/10.1145/363162.363200openalex-snapshot
Methods of evaluating polynomial approximations in function evaluation routines
inferred← citeshttps://doi.org/10.1145/800119.803910openalex-snapshot
Computational complexity and numerical stability
inferred← citeshttps://doi.org/10.1201/9781420050349.ch27openalex-snapshot
Spline Geometry
inferred← citeshttps://doi.org/10.21236/ada040476openalex-snapshot
Explaining and Ameliorating the ILL Condition of Zeros of Polynomials
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