EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 15, Problem 16P
Develop an M-file to implement parabolic interpolation to locate a minimum. Test your program with the same problem as Example 13.2. The function should have the following features:
• Base it on two initial guesses, and have the program generate the third initial value at the midpoint of the interval.
• Check whether the guesses bracket a maximum. If not, the function should not implement the algorithm, but should return an error message.
• Iterate until the relative error falls below a stopping criterion or exceeds a maximum number of iterations.
• Return both the optimal x and
• Use a bracketing approach (as in Example 13.2) to replace old values with new values.
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Chapter 15 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 15 - A company makes two types of products, A and B....Ch. 15 - Prob. 2PCh. 15 - 15.3 Consider the linear programming...Ch. 15 - 15.4 Consider the linear programming...Ch. 15 - Use a software package (for example, Excel,...Ch. 15 - 15.6 Use a software package (for example, Excel,...Ch. 15 - 15.7 Consider the following constrained nonlinear...Ch. 15 - Use a software package to determine the maximum of...Ch. 15 - Use a software package to determine the maximum of...Ch. 15 - Given the following function,...
Ch. 15 - You are asked to design a covered conical pit to...Ch. 15 - 15.12 An automobile company has two versions of...Ch. 15 - 15.13 Og is the leader of the surprisingly...Ch. 15 - 15.14 Develop an M-file that is expressly designed...Ch. 15 - 15.15 Develop an M-file to locate a minimum with...Ch. 15 - Develop an M-file to implement parabolic...Ch. 15 - 15.17 The length of the longest ladder that can...
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