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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Stable evaluation of polynomials in time $ {\rm log}\,n$


Authors: Roland Kusterer and Manfred Reimer
Journal: Math. Comp. 33 (1979), 1019-1031
MSC: Primary 65G05; Secondary 68C25
MathSciNet review: 528054
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Abstract: An algorithm is investigated which evaluates real polynomials of degree n in time $ \log n$ at asymptotically minimum costs. The algorithm is considerably stable with respect to round-off.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1979-0528054-X
PII: S 0025-5718(1979)0528054-X
Keywords: Polynomial evaluation, parallel processing, growth of the error norm
Article copyright: © Copyright 1979 American Mathematical Society