Next, add to you derivative function the capability to check for accuracy by comparing maximum errors between successive calculations of the derivative. You will need a while loop that checks when the maximum error is ≤ eps. To find the maximum array create a numpy array in your derivative function. Call it "maxe" where each element of the array would contain |dƒj+¹(x;) – dƒ³ (xi)|. j + 1 refers to the finer grid where the j + 1 grid would use twice as many points as the j grid. For example, j = 1 (the starting grid) would have N = 10 points, and the j + 1 grid would use 2N = 20 points, the j + 2 grid would use 40 points and so on. Now for the 1st pass through the while-loop you cannot converge you haven't started the comparison. So construct you code to avoid this situation. For this part of the laboratory, let's use for our function, f(x) = x logx
Next, add to you derivative function the capability to check for accuracy by comparing maximum errors between successive calculations of the derivative. You will need a while loop that checks when the maximum error is ≤ eps. To find the maximum array create a numpy array in your derivative function. Call it "maxe" where each element of the array would contain |dƒj+¹(x;) – dƒ³ (xi)|. j + 1 refers to the finer grid where the j + 1 grid would use twice as many points as the j grid. For example, j = 1 (the starting grid) would have N = 10 points, and the j + 1 grid would use 2N = 20 points, the j + 2 grid would use 40 points and so on. Now for the 1st pass through the while-loop you cannot converge you haven't started the comparison. So construct you code to avoid this situation. For this part of the laboratory, let's use for our function, f(x) = x logx
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
Related questions
Question

Transcribed Image Text:Next, add to you derivative function the capability to check for accuracy by comparing
maximum errors between successive calculations of the derivative. You will need a while loop
that checks when the maximum error is ≤ eps. To find the maximum array create a numpy
array in your derivative function. Call it "maxe" where each element of the array would contain
|dƒj+¹(x;) – dƒ³ (xi)|.
j + 1 refers to the finer grid where the j + 1 grid would use twice as many points as the j
grid. For example, j = 1 (the starting grid) would have N = 10 points, and the j + 1 grid
would use 2N = 20 points, the j + 2 grid would use 40 points and so on.
Now for the 1st pass through the while-loop you cannot converge you haven't started the
comparison. So construct you code to avoid this situation.
For this part of the laboratory, let's use for our function, f(x) = x logx
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