Algorithm for Gauss Elimination Method

  • Start
  • Declare the variables and read the order of the matrix n.
  • Take the coefficients of the linear equations as:
    Do for k=1 to n
    Do for j=1 to n+1
    Read a[k][j]
    End for j
    End for k
  • Do for k=1 to n-1
    Do for i=k+1 to nDo for j=k+1 to n+1
    a[i][j]=a[i][j]-a[i][k]/a[k][k]*a[k][j]
    End for j
    End for i
    End for k
  • Compute x[n]=a[n][n+1]/a[n][n]
  • Do for k=n-1 to 1
    sum=0
    Do for j=k+1 to nsum=sum+a[k][j]*x[j]
    End for j
    x[k]=1/a[k][k]*(a[k][n+1]-sum)
    End for k
  • Display the result x[k]
  • Stop

Flow Chart:

gauss elimination method flowchart and algorithm

gauss elimination method flowchart and algorithm2

I'm a physicist specializing in theoretical, computational and experimental condensed matter physics. I like to develop Physics related apps and softwares from time to time. Can code in most of the popular languages. Like to share my knowledge in Physics and applications using this Blog and a YouTube channel.



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