8/18/2019 C and C++ programs_ Gauss Elimination Method

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C and C++ programs

Friday, 7 September 2012

Gauss Elimination Method

# include<stdio.h>

# include<conio.h>

void main()

{

 int i,j,k,n;

 float a[10][10],x[10];

 float 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("d[%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]=%f",i+1,x[i]); getch();

}

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8/18/2019 C and C++ programs_ Gauss Elimination Method

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Posted by Gautam Naik at 07:36 

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2 comments:

vaibhav 24 February 2014 at 02:19

nice work thnx

Reply

Say Real 2 March 2014 at 09:11

good day sir, can you show the matrix form after you zero all element on the lower triangle? I

have a code here that show a matrix form with ) lower triangle but the problem is it gets a

wrong determinants, can you help me?

here is the code:

# include

# include

# include

# define MAX 10

void main()

{

int i,j,n,k;

float mat[MAX][MAX],x[MAX],temp,pivot,sum=0;

printf("\t\t\ t GAUSS ELIMINITION METHOD\n");

printf("-------------------------------------------------------------------\n");

printf("Enter No of Equations : ");

scanf("%d",&n);

printf("\nEnter the Elements of Matrix \n");for(i=1;i<=n;i++)

for(j=1;j<=n;j++)

scanf("%f",&mat[i][j]);

printf("\nEnter Constant value\n");

for(i=1;i<=n;i++)

{

scanf("%f",&mat[i][n+1]);

x[i]=mat[i][n+1];

}

for(i=2;i<=n;i++)

{

for(j=i;j<=n;j++)

{

pivot=mat[j][i-1]/mat[i-1][i-1];

for(k=i-1;k<=n+1;k++)

mat[j][k]=mat[j][k]-pivot*mat[i-1][k];

}

}

printf("\n\nEliminated matrix as :- \n\n");

for(i=1;i<=n;i++)

{

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for(j=1;j<=n+1;j++)

printf("\t%.2f",mat[i][j]);

printf("\n");

}

for(i=1;i<=n;i++)

{

if(mat[i][i]==0)

{

printf("Since diagonal element become zero\n Hence solution is not possible\n");

}

}

printf("Solution : \n");for(i=0;in-i;j--)

sum=sum+mat[n-i][j];

x[n-i]=(mat[n-i][n+1]-sum*x[n])/mat[n-i][n-i];

printf("X%d = %4.2f\n",n-i,x[n-i]);

}

getch();

}

thanks in advance sir!:)

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