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Floating point arithmetic on a RISC

โœ Scribed by Jean M Davila; Andrew J Phillips; Daniel Tabak


Publisher
Elsevier Science
Year
1988
Weight
357 KB
Volume
23
Category
Article
ISSN
0165-6074

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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.