Theory and Modern Applications
Table 1 The specific name of WJ and SOR in solving linear system (4.5)
Linear system | Iterative method | Specific name |
|---|---|---|
\(A \mathbf{u}^{n+1} = \mathbf{G}^{n}\) | \(D\mathbf{u}^{(n+1,s+1)} = ( D - \omega A ) \mathbf{u}^{(n+1,s)} + \omega \mathbf{G}^{n}\) | WJ |
\(( D - \omega L ) \mathbf{u}^{(n+1,s+1)} = ( (D-\omega L) - \omega A ) \mathbf{u}^{(n+1,s)} + \omega \mathbf{G}^{n}\) | SOR |