Code for Gauss Elimination Method in C

C code to implement  Gauss Elimination  method .  Compiled in DEV C++

 

# include <stdio.h>
# include <conio.h>
int main()
{
int i, j, k, n ;
float a[20][20], x[20] ;
double s, p ;
printf("Enter the number of equations : ") ;
scanf("%d", &n) ;
printf("\nEnter the co-efficients of the equations :\n\n") ;
for(i = 0 ; i < n ; i++)
{
for(j = 0 ; j < n ; j++)
{
printf("a[%d][%d] = ", i + 1, j + 1) ;
scanf("%f", &a[i][j]) ;
}
printf("b[%d] = ", i + 1) ;
scanf("%f", &a[i][n]) ;
}
for(k = 0 ; k < n - 1 ; k++)
{
for(i = k + 1 ; i < n ; i++)
{
p = a[i][k] / a[k][k] ;
for(j = k ; j < n + 1 ; j++)
a[i][j] = a[i][j] - p * a[k][j] ;
}
}
x[n-1] = a[n-1][n] / a[n-1][n-1] ;
for(i = n - 2 ; i >= 0 ; i--)
{
s = 0 ;
for(j = i + 1 ; j < n ; j++)
{
s += (a[i][j] * x[j]) ;
x[i] = (a[i][n] - s) / a[i][i] ;
}
}
printf("\nThe result is :\n") ;
for(i = 0 ; i < n ; i++)
printf("\nx[%d] = %.2f", i + 1, x[i]) ;
getch() ;
}

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