Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 19, Problem 10P

Develop a user-friendly program for the DFT based on the algorithm from Fig. 19.12. Test it by duplicating Fig. 19.13.

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Consider the problem of maximizing the function -x? s(x)= 10 (x) = +3x where x is allowed to vary between 0 and 31. Solve this using a genetic algorithm.
6. A researcher develop one new prediction algorithm. He want to find out whether hisalgorithm predict a situation faster than the current method. He test his algorithm to makea prediction base on 4 sets of data. He recorded the computation time in microsecond andcompare it with current method and standard method. Table 5 give the computation timefor all method tested.TABLE 5Proposed Method Current Method Standard Method10 11 1313 16 177 9 915 16 19At 2.5% significance level, will you conclude that the computation time taken to predict is thedifferent for each of the three algorithms.
The branch-and-bound algorithm starts by: solving two LP problems in which X1 is set at 0 and 1 respectively. determining the most likely RHS values and solving for them. relaxing all the integrality conditions in an ILP and solving the resulting LP problem. relaxing all the RHS values in an ILP and solving the resulting LP problem.
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