Write a program that findi the minimum of a funetion S(z, v) starting from an initial search ponition (In, ) and ming a ntep nie A. To nccomplinh thin tank, the program woukd ealkulate the value of the funetion al the 8 nearty pointa (zatA, Mt A) and move to the point where /(r, v) han the mallent value. The program shoukd keep repenting thin until the valuen of the funetion al every one of the 8 eighboring points is larger than f(z, v). The program would ressive the starting point x0, yo and delta as command line parametens and print the coordinaten of the minimum point Zmin, Vnin and S(Imin, um) n the Moreen as oulpul. EXAMPLE: Suppone we want to find the minimum of the funetion S(7, v) - (z- 3)" + (y + 2)" + 5

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write a c code for this program

Write a program that finds the minimum of a function f(1,y) starting from an initial search position
(I0, 9u) and using a step nize A.
To accomplish this task, the program woukd ealeulate the value of the funetion al the 8 nearby
points (zo t A, MoA) and move to the point where f(1, y) has the smallent value.
The program shoukd keep repeating this until the values of the funetion al every one of the 8
ncighboring pointas is larger than f(r, v).
The program would resscive the starting point x0, y0 and delta as command line parameters and
print the coordinates of the minimum point Imin, Frin and f(Imin, Vmm) on the sereen as output.
EXAMPLE:
Suppose we want to find the minimum of the function
S(1, v) – (z- 3)" + (y + 2)° +5
The protolype for the funetion would be
double f(double I, double y)
If we use an initial starting point (zn, Bu) = (1,2) and step sie A = 0.01 we would run the program
from the command line an
findnin.exe 1 2 0.01
the output of the program woukd be (approximately):
3.0 -2.0 5
Transcribed Image Text:Write a program that finds the minimum of a function f(1,y) starting from an initial search position (I0, 9u) and using a step nize A. To accomplish this task, the program woukd ealeulate the value of the funetion al the 8 nearby points (zo t A, MoA) and move to the point where f(1, y) has the smallent value. The program shoukd keep repeating this until the values of the funetion al every one of the 8 ncighboring pointas is larger than f(r, v). The program would resscive the starting point x0, y0 and delta as command line parameters and print the coordinates of the minimum point Imin, Frin and f(Imin, Vmm) on the sereen as output. EXAMPLE: Suppose we want to find the minimum of the function S(1, v) – (z- 3)" + (y + 2)° +5 The protolype for the funetion would be double f(double I, double y) If we use an initial starting point (zn, Bu) = (1,2) and step sie A = 0.01 we would run the program from the command line an findnin.exe 1 2 0.01 the output of the program woukd be (approximately): 3.0 -2.0 5
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