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[-1; 0]
C++:
#include <stdio.h>
#include <math.h>
#define func(x) exp(4*x)+x //
#define funp(x) 4*exp(4*x)+1 //
int main()
{
//
int n = 0;
float x, y, z, c = -0.1; //eps1 = 0.001, eps2 = 0.01;
printf (" Hello Enter x0 fo Method of simple iteration please ");
float x0;
scanf ("%f", &x0);
x = x0;
printf ("\n Please enter EPS1 for Method of simple iteration ");
float eps1;
scanf ("%f", & eps1);
printf ("\n Please enter EPS2 for Method of simple iteration ");
float eps2;
scanf ("%f", & eps2);
printf ("\n\nMethod simple iterations with an accuracy of %4f %4f \n\n",eps1, eps2);
do
{
y = x+c*(func(x)); //
z = x;
printf("%d %.6f %.6f %.6f %.4f\n",n++, x, y, fabs(y-x), fabs(func(y)));
x = y;
}
while(fabs(z-x) >= eps1 || fabs(func(x)) >= eps2);
printf (" end of cycle\n\n\n");
//
int k = 0;
float x1, y1, z1, c1 = -0.1;// eps3 = 0.001, eps4 = 0.01;
printf (" Hello entet x0 for Newton s method ");
float x10;
scanf ("%f", &x10);
x1 = x10;
printf ("\n Please enter EPS1 for Newton method ");
float eps3;
scanf ("%f", & eps3);
printf ("\n Please enter EPS2 for Newton method ");
float eps4;
scanf ("%f", & eps4);
printf ("\n\n Newton s method with an accuracy of %4f %4f \n\n",eps3, eps4);
do
{
y1 = x1-(func(x1))/(funp(x1)); //
z1 = x1;
printf("%d %.6f %.6f %.6f %.4f\n",k++, x1, y1, fabs(y1-x1), fabs(func(y1)));
x1 = y1;
}
while(fabs(z1-x1) >= eps3 || fabs(func(x1)) >= eps4);
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printf (" end of cycle\n\n\n");
//
int m = 0;
float x2, y2, z2, c2 = -0.1;// eps5 = 0.001, eps6 = 0.01;
printf (" Entet x0 for Modifiend Newton s method ");
float x20;
scanf ("%f", &x20);
x2 = x20;
printf ("\n Please enter EPS1 for Modifiend Newton method ");
float eps5;
scanf ("%f", & eps5);
printf ("\n Please enter EPS2 for Modifiend Newton method ");
float eps6;
scanf ("%f", & eps6); // ()
printf ("Modifiend Newton method with an accuracy of %4f %4f \n\n",eps5, eps6);
do
{
y2 = x2-(func(x2))/(funp(x20)); //
z2 = x2;
printf("%d %.6f %.6f %.6f %.4f\n",m++, x2, y2, fabs(y2-x2), fabs(func(y2)));
x2 = y2;
}
while(fabs(z2-x2) >= eps5 || fabs(func(x1)) >= eps6);
printf (" end of cycle\n\n\n");
getchar();
return 0;
}
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