What is this numerical method for solving Ax=b called?

Question

Following is the pseudo-code of a simple iterative method of solving $Ax=b$ where $A$ is an $n\times n$ matrix.

for i = 0 .. iteration_count
    for j = 0 .. n
        x = x + A.row(j) * (b[j] - A.row(j) * x) / (A.row(j) * A.row(j)^T)

Note that A.row(j) stands for the j-th row of A.

It seems to be neither Gauss-Seidel nor Jacobi iteration.

Does this method have a name?