) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 62 Gauss- Seide迭代 在 Jacobi迭代中,使用最新计算出的分量值 (k+1) Ck x2+…+a1nx (k) nn (k+1) ?3(k+1+a2313…+a1孓小 (k L a (k+1) (k+1) x(k+l-b +…+amn-1n-1 (k+1) ∑a1x(+∑ b,) J=1+1数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS           + + − − = + + + − − = + + − − =  + − − + + + + + ( ) 1 ( ) 1 ( ) 1 ( 1) 1 1 ( 1) 1 1 ( 1) 2 ( ) 1 ( ) 2 3 3 ( 1) 2 1 1 2 2 ( 1) 2 1 ( ) 1 ( ) 1 2 2 1 1 ( 1) 1 n k n n n k n n n k n k n n k k k k n n k k a x a x b a x a x a x a x b a x a x a x b a x     6.2 Gauss－Seidel迭代 ( ) 1 1 ( ) 1 1 ( 1) ( 1) i n j i k i j j i j k i j j i i k i a x a x b a x + − − =  = + − = + + 在Jacobi迭代中，使用最新计算出的分量值