[C/C++] Gauss-Seidel iterative method - Review Gadget Terbaru Fajar Nugraha Wahyu

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Monday, 14 December 2015

[C/C++] Gauss-Seidel iterative method

// Gauss-Seidel iterative method
#include<stdio.h>
#include<conio.h>
#include<math.h>
#define e 0.01

void main()
{
    int i,j,k,n;
    float a[10][10],x[10];
    float sum,temp,error,big;
    printf("Gauss-Seidel iterative method\n\n");
    printf("Enter the number of equations: ");
    scanf("%d",&n) ;
    printf("Enter the coefficients of the equations: \n");

    for(i=1;i<=n;i++){
        for(j=1;j<=n+1;j++){
            printf("a[%d][%d]= ",i,j);
            scanf("%f",&a[i][j]);
        }
    }

    for(i=1;i<=n;i++){
        x[i]=0;
    }

    do {
        big=0;
        for(i=1;i<=n;i++){
            sum=0;
            for(j=1;j<=n;j++){
                if(j!=i){
                    sum=sum+a[i][j]*x[j];
                }
            }


        temp=(a[i][n+1]-sum)/a[i][i];
            error=fabs(x[i]-temp);

            if(error>big){
            big=error;
            }

            x[i]=temp;
            printf("\nx[%d] =%f",i,x[i]);
        }

        printf("\n");
    }

    while(big>=e);
    printf("\n\nconverges to solution");
    for(i=1;i<=n;i++){
        printf("\nx[%d]=%f",i,x[i]);
    }

 printf("\n");
 getch();
}




OR

#include<stdio.h> #include<conio.h> #include<math.h> #include<stdlib.h>   void main() { float a[20][20],x[20],e,big,temp,relerror,sum; int n,i,j,maxit,itr;   printf("Gauss-Seidel iterative methodnn"); printf("Enter the number of equations : "); scanf("%d",&n);   for(i=1;i<=n;i++){ printf("Enter the coefficints of equation %d : ",i); for(j=1;j<=n+1;j++) scanf("%f",&a[i][j]); }   printf("Enter relative error and maximum number of iterations : "); scanf("%f%d",&e,&maxit);   for(i=1;i<=n;i++) x[i]=0; for(itr=1;itr<=maxit;itr++){ big=0; for(i=1;i<=n;i++){ sum=0; for(j=1;j<=n;j++){ if(i!=j ) sum=sum+a[i][j]*x[j]; } temp=(a[i][n+1]-sum)/a[i][i]; relerror=fabs((x[i]-temp)/temp); if(relerror>big) big=relerror; x[i]=temp; } if(big<=e){ printf("nConverges to a solution in %d iterationsn",itr); for(i=1;i<=n;i++) printf("%.4ftn",x[i]); getch(); exit(1); } }   printf("ndoes not converge in %d iterations n",maxit); getch();  

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