对(4)作迭代过程 (k+1) k x:7+ b aX (5) (=1,2…,m;k=01,2… 设D=dig(a1,a2…,am) 则(5)式转化为矩阵形式 x(+1)=x()+D(b-Ax) (k+1) D Ax(k)+D b (k+1 (D-A)x()+Db (6)--------(5) ( ) 1 1 ( 1) ( ) ( ) = + = + − n j k i i j j i i k i k i b a x a x x 对(4)作迭代过程 (i = 1,2,  ,n;k = 0,1,2, ) ( , , , ) 设 D = diag a11 a22  ann 则(5)式转化为矩阵形式 ( ) (k 1) (k ) 1 (k ) x = x + D b − Ax + − x x D Ax D b (k +1) (k ) −1 (k ) −1 = − + x D D A x D b (k 1) 1 (k ) 1 ( ) + − − = − + --------(6)