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Write a program that finds the minimum of a function ƒ(x,y) starting from an initial search position (x0, Yo) and using a step size A. To accomplish this task, the program would calculate the value of the function at the 8 nearby points (xo ± A, Yo ±A) and move to the point where f(x,y) has the smallest value. The program should keep repeating this until the values of the function at every one of the 8 neighboring points is larger than f(x, y). The program would receive the starting point x0, y0 and delta as command line parameters and print the coordinates of the minimum point rmin, Ymin and f(xmin, Ymin) On the screen as output. EXAMPLE: Suppose we want to find the minimum of the function f(r, y) = (x – 3)² + (y + 2)² + 5 The prototype for the function would be double f(double x, double y) If we use an initial starting point (xo, Yo) = (1,2) and step size A = 0.01 we would run the program from the command line as findmin.exe 1 2 0.01 the output of the program would be (approximately): 3.0 -2.0 5 1 /1

Write a program that finds the minimum of a function ƒ(x,y) starting from an initial search position (x0, Yo) and using a step size A. To accomplish this task, the program would calculate the value of the function at the 8 nearby points (xo ± A, Yo ±A) and move to the point where f(x,y) has the smallest value. The program should keep repeating this until the values of the function at every one of the 8 neighboring points is larger than f(x, y). The program would receive the starting point x0, y0 and delta as command line parameters and print the coordinates of the minimum point rmin, Ymin and f(xmin, Ymin) On the screen as output. EXAMPLE: Suppose we want to find the minimum of the function f(r, y) = (x – 3)² + (y + 2)² + 5 The prototype for the function would be double f(double x, double y) If we use an initial starting point (xo, Yo) = (1,2) and step size A = 0.01 we would run the program from the command line as findmin.exe 1 2 0.01 the output of the program would be (approximately): 3.0 -2.0 5 1 /1

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Write a program that finds the minimum of a function f(x,y) starting from an initial search position (xo, Yo) and using a step size A. To accomplish this task, the program would calculate the value of the function at the 8 nearby points (ro ±A, yo ±A) and move to the point where f(x,y) has the smallest value. The program should keep repeating this until the values of the function at every one of the 8 neighboring points is larger than f(x, y). The program would receive the starting point x0, yo and delta as command line parameters and print the coordinates of the minimum point Xmin; Ymin and f(rmin; Ymin) On the screen as output. ΕΧΑΜPLE: Suppose we want to find the minimum of the function f(r, y) = (r – 3)² + (y + 2)² + 5 The prototype for the function would be double f(double x, double y) If we use an initial starting point (xo, Yo) = (1,2) and step size A = 0.01 we would run the program from the command line as findmin.exe 1 2 0.01 the output of the program would be (approximately): 3.0 -2.0 5 1 /1
Transcribed Image Text:Write a program that finds the minimum of a function f(x,y) starting from an initial search position (xo, Yo) and using a step size A. To accomplish this task, the program would calculate the value of the function at the 8 nearby points (ro ±A, yo ±A) and move to the point where f(x,y) has the smallest value. The program should keep repeating this until the values of the function at every one of the 8 neighboring points is larger than f(x, y). The program would receive the starting point x0, yo and delta as command line parameters and print the coordinates of the minimum point Xmin; Ymin and f(rmin; Ymin) On the screen as output. ΕΧΑΜPLE: Suppose we want to find the minimum of the function f(r, y) = (r – 3)² + (y + 2)² + 5 The prototype for the function would be double f(double x, double y) If we use an initial starting point (xo, Yo) = (1,2) and step size A = 0.01 we would run the program from the command line as findmin.exe 1 2 0.01 the output of the program would be (approximately): 3.0 -2.0 5 1 /1
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