Unit 2.7 Jacobi's Method

// jacobi

start
Arrange given system of linear equations in diagonally dominant form
Read toerable error (e)
Convert the first equations in terms of first variable,second equation in terms of second variable and so second
Set initial guesses for x0,y0,z0 and so on
Substitue value of x0,y0,zo... from step 5 in equation obtainded in step 4 to calculate new values x1,y1,z1 and so on
if |x0 - x1 | > e an |y0 -y1 |>e and |z0 - z1| > e and so on then goto step 9
print the value of x1,y1,z1 and so on
stop


// Gauss Seidall
start
Arrange given system of linear equations in diagonally dominant form
Read toerable error (e)
Convert the first equations in terms of first variable,second equation in terms of second variable and so second
Set initial guesses for x0,y0,z0 and so on
Substitute value of y0,z0 .. from step in first equation obtained from step 4 to calculate new value of x1. Use x1,z0,.. in second equation obtained from step 4 to calculate new value of y1. Similarly . use x1,y1.. to find new z1 and so on
if |x0 - x1 | > e an |y0 -y1 |>e and |z0 - z1| > e and so on then goto step 9
print the value of x1,y1,z1 and so on
stop