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

 

Computing when multiplications cost nothing


Author: D. J. Newman
Journal: Math. Comp. 46 (1986), 255-257
MSC: Primary 05A99; Secondary 11Y16
MathSciNet review: 815847
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Abstract: A (rather strange) computer is considered which costs 1cent to perform each addition but costs nothing to perform a multiplication. It is shown that the addition chain from 1 to n cost maximally $ {(\operatorname{Log} n)^{1/2 + o(1)}}$ rather than the classical $ \sim \operatorname{Log} n$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1986-0815847-8
PII: S 0025-5718(1986)0815847-8
Article copyright: © Copyright 1986 American Mathematical Society