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x = 1002 and fl(x) = 1001. Show the relative error is roughly smaller than the condition number times the relative error in x, assuming no round- off error in the computation. (The same examples will show up below and are totally different when round-off error exists. But for this problem, the two questions have same answer. ) 1 (a) f(x) 1 1 (b) f(x): x +1 x(x+1)

x = 1002 and fl(x) = 1001. Show the relative error is roughly smaller than the condition number times the relative error in x, assuming no round- off error in the computation. (The same examples will show up below and are totally different when round-off error exists. But for this problem, the two questions have same answer. ) 1 (a) f(x) 1 1 (b) f(x): x +1 x(x+1)

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Find the relative error in computing f(x) where x = 1002 and fl(x) = 1001. Show the relative error is roughly smaller than the condition number times the relative error in x, assuming no round- off error in the computation. (The same examples will show up below and are totally different when round-off error exists. But for this problem, the two questions have same answer. ) 1 (a) f(x) 1 1 (b) f (x) x +1 x(x + 1)
Transcribed Image Text:Find the relative error in computing f(x) where x = 1002 and fl(x) = 1001. Show the relative error is roughly smaller than the condition number times the relative error in x, assuming no round- off error in the computation. (The same examples will show up below and are totally different when round-off error exists. But for this problem, the two questions have same answer. ) 1 (a) f(x) 1 1 (b) f (x) x +1 x(x + 1)
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