What is meant by this statement?

[Amany Gouda]

stop the iteration when Euclid norm of the residual
vector between SOR solution and GE solution becomes less than
1.0e-5

 

[Fredrik]

The Euclidean norm of a vector $\mathbf x=(x_1,\dots,x_n)$ is denoted by $|\mathbf x|$ and defined by
$$|\mathbf x| =\sqrt{(x_1)^2+\cdots+(x_n)^2}.$$ If you want more help, you will have to provide more details. What is the SOR solution and the GE solution?

 

[Amany Gouda]

The Euclidean norm of a vector $\mathbf x=(x_1,\dots,x_n)$ is denoted by $|\mathbf x|$ and defined by
$$|\mathbf x| =\sqrt{(x_1)^2+\cdots+(x_n)^2}.$$ If you want more help, you will have to provide more details. What is the SOR solution and the GE solution?

thank you for replying;
SOR is : successive over-relaxation method.
GE: Gaussian elimination with partial pivoting

 

[HallsofIvy]

Then what it says is "run two numerical approximations, the "SOR" and "GE", simultaneously. Stop when the difference between the two solutions is less than 0.00001."