Assume you have computed = cox+c1x4. Compute the relative error in evaluating this function (i.e., evaluate the impact of finite precision on the result). Do not bound. 4. Assume: (a) error originates from representing co, c1, and x. (b) arithmetic operations do introduce error. (c) æ" can be computed without error. Start with 6* = ((cjæ*)* + (c¡(æ*)*)*)*. Continue the previous problem. Derive an upper bound for the relative error of ê = co + cja4. Consider defining Emax = maæ(|col, |e1|; |e2|,..., |En).
Assume you have computed = cox+c1x4. Compute the relative error in evaluating this function (i.e., evaluate the impact of finite precision on the result). Do not bound. 4. Assume: (a) error originates from representing co, c1, and x. (b) arithmetic operations do introduce error. (c) æ" can be computed without error. Start with 6* = ((cjæ*)* + (c¡(æ*)*)*)*. Continue the previous problem. Derive an upper bound for the relative error of ê = co + cja4. Consider defining Emax = maæ(|col, |e1|; |e2|,..., |En).
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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Transcribed Image Text:Assume you have computed ộ = cox+cqx4. Compute the relative error in evaluating
this function (i.e., evaluate the impact of finite precision on the result). Do not bound.
4.
Assume:
(a) error originates from representing co, c1, and x.
(b) arithmetic operations do introduce error.
(c) x" can be computed without error.
Start with 6* = ((cja*)* + (ci(x*)4)*)*.
5.
Continue the previous problem. Derive an upper bound for the relative error of
ê = co + cjæ4.
Consider defining Emax = max (|col, le1|; |e2|,..., Enl).
Expert Solution
Step 1
Answer
To get an upper bound on the approximation error, use Taylor's Theorem. Then figure out how much the error is.
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