Assume you have computed = cox + c1x4 where a > 1. Compute the relative error in evaluating this function (i.e., evaluate the impact of finite precision on the result). 2. Do not bound. Assume: • all error originates from representing co, c1, and x. • arithmetic operations introduce no error. Start with * = cjæ* + cj(x*)4. 3. Continue the previous problem. Derive an upper bound for the relative error of 9 = cox + c1æ4 where a > 1. Consider defining Emax = max(lcol, le1], |e2|, ..., lenl).
Assume you have computed = cox + c1x4 where a > 1. Compute the relative error in evaluating this function (i.e., evaluate the impact of finite precision on the result). 2. Do not bound. Assume: • all error originates from representing co, c1, and x. • arithmetic operations introduce no error. Start with * = cjæ* + cj(x*)4. 3. Continue the previous problem. Derive an upper bound for the relative error of 9 = cox + c1æ4 where a > 1. Consider defining Emax = max(lcol, le1], |e2|, ..., lenl).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Assume you have computed ộ = cox + c1x4 where a > 1. Compute the relative
error in evaluating this function (i.e., evaluate the impact of finite precision on the result).
2.
Do not bound. Assume:
• all error originates from representing co, c1, and æ.
• arithmetic operations introduce no error.
Start with 6* = cja* + ci (x*)4.
3.
Continue the previous problem. Derive an upper bound for the relative error of
ệ = cox + c1xª where x > 1.
Consider defining Emax =
max(leol, le1], |e2],..., lenl).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe34c6689-c6c0-4643-bc8b-7156aa3264ed%2Ffb26c20f-df44-4d7b-9fc0-3431179582cf%2Fo9p0l1f_processed.png&w=3840&q=75)
Transcribed Image Text:Assume you have computed ộ = cox + c1x4 where a > 1. Compute the relative
error in evaluating this function (i.e., evaluate the impact of finite precision on the result).
2.
Do not bound. Assume:
• all error originates from representing co, c1, and æ.
• arithmetic operations introduce no error.
Start with 6* = cja* + ci (x*)4.
3.
Continue the previous problem. Derive an upper bound for the relative error of
ệ = cox + c1xª where x > 1.
Consider defining Emax =
max(leol, le1], |e2],..., lenl).
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