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Floating-point arithmetic in the Coq system

โœ Scribed by Guillaume Melquiond


Book ID
113642005
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
216 KB
Volume
216
Category
Article
ISSN
0890-5401

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Accurate simple zeros of polynomials in
โœ Stef Graillat ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 330 KB

In the paper, we examine the local behavior of Newton's method in floating point arithmetic for the computation of a simple zero of a polynomial assuming that an good initial approximation is available. We allow an extended precision (twice the working precision) in the computation of the residual.