# What is meant by this statement?

1. Dec 8, 2015

### Amany Gouda

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

2. Dec 9, 2015

### Fredrik

Staff Emeritus
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?

3. Dec 9, 2015

### Amany Gouda

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

4. Dec 9, 2015

### 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."

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