Now repeat the same process 24 more times to get the approximate solution with minimum error. Then, at last putting x1 and y1 in equation 3 to get z1 and updating our solution as (x1,y1,z1) Now, putting the updated value of x that is x1 and z=0 in equation 2 to get y1 and then updating our solution as (x1,y1,0)

Then first we put value of y and z in equation 1 and get value of x and update the value of x as (x1,0,0) This process is continuously repeated until we found the better approximated solution with least error.įirst we assume that the solution of given equation is (0,0,0) However, by triangular form of L*, the elements of x(k+1) can be computed sequentially using forward substitution: The Gauss–Seidel method now solves the left hand side of this expression for x, using previous value for x on the right hand side. The system of linear equations are rewritten as:

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Gauss seidel program in scilab