Separable asymptotic cost of evaluating elementary functions

The computational cost, in the bit model of computation, of the evaluation of a real function in a point is analyzed, when the number d of correct digits of the result increases asymptotically. We want to study how the cost depends on also when approaches a critical point for the function f. We inve...

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Published in:Numerical algorithms Vol. 24; no. 3; pp. 255 - 274
Main Authors: Favati, P., Lotti, G., Menchi, O., Romani, F.
Format: Journal Article
Language:English
Published: New York Springer Nature B.V 01.08.2000
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ISSN:1017-1398, 1572-9265
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Abstract The computational cost, in the bit model of computation, of the evaluation of a real function in a point is analyzed, when the number d of correct digits of the result increases asymptotically. We want to study how the cost depends on also when approaches a critical point for the function f. We investigate the hypotheses under which it is possible to give upper bounds on the cost as functions of “separated variables” d and , that is as products of two functions, each of one variable. We examine in particular the case of elementary functions.
AbstractList The computational cost, in the bit model of computation, of the evaluation of a real function in a point is analyzed, when the number d of correct digits of the result increases asymptotically. We want to study how the cost depends on also when approaches a critical point for the function f. We investigate the hypotheses under which it is possible to give upper bounds on the cost as functions of “separated variables” d and , that is as products of two functions, each of one variable. We examine in particular the case of elementary functions.
Author Romani, F.
Menchi, O.
Favati, P.
Lotti, G.
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Cites_doi 10.1007/978-1-4684-6802-1
10.1016/S0893-9659(97)00024-4
10.1145/321941.321944
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Snippet The computational cost, in the bit model of computation, of the evaluation of a real function in a point is analyzed, when the number d of correct digits of...
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StartPage 255
SubjectTerms Asymptotic properties
Computing costs
Critical point
Upper bounds
Title Separable asymptotic cost of evaluating elementary functions
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