Unformatted text preview: and the relative error (abolute error divided by the truth). Do not let the summation run for ever stop it when adding more terms makes no diﬀerence. Observe the eﬀects of roundoﬀ error. Warning: Calculating things like x n and n ! for large n is costly, and in many computing systems, liable to problems with overﬂow. If the term you add at the nth step is a n , calculate a n +1 by multiplying a n by a suitable factor. 1...
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 Fall '08
 Rieffel
 Math, Numerical Analysis, Computer program, Roundoff error

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