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Optimization: Interval Halving Method
1. Interval Halving Method Algorithm in C #include<stdio.h> double myFun(double x); int main() { double a, b, y, x, xm, x1, x2, fx1, fx2, fxm, L, t=0.01; printf("Enter a:"); scanf("%lf",&a); //Upper Bound printf("Enter b:"); scanf("%lf",&b); //Lower Bound xm = (a + b)/2; jump: L = b-a; x1 = a + (L/4); x2 = b - (L/4); printf("\n\na = %.2lf",a); printf("\nb = %.2lf",b); printf("\nx1 = %.2lf",x1); printf("\nx2 = %.2lf",x2); printf("\nxm = %.2lf",xm); printf("\nL = %.2lf",L); fx1 = myFun(x1); printf("\nf(x1) = %.2lf",fx1); fx2 = myFun(x2); printf("\nf(x2) = %.2lf",fx2); fxm = myFun(xm); printf("\nf(xm) = %.2lf",fxm); if(L > t) { if (fx1 < fxm) { a = a; b = xm; xm = x1; got...
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