A=D-L-U, Ax=b→A=M-NetM≠0)→M-Nx=b →M=Nx+b→x=MNx+Mb →x4=MNk+Mb=Mk+b O M=D,N=L+U< Jacobi iterative method (2)M=D-L,N=U< Gauss-Seidel iterative method (3)M=-(D-L),N=-|(-)D+oU e Successive Overrelaxation Iterative mathods返回 A D L U = − − , ( ) , Jacobi iterative method 1 M D N L U = = +  Ax b =  = −  A M N(det M ) 0  − = Mx Nx b  = + Mx Nx b 1 1 x M Nx M b  = + − − ( k ) ( k ) ( k ) 1 1 1 x M Nx M b Mx b  = + = + + − − ( ) , Gauss-Seidel iterative method 2 M D L N U = − =  1 1 ( ) ( ), [( ) ] 3 1 Successive Overrelaxation Iterative mathods = − = − +  M D L N D U     