2.对于迭代法xk+1=9(xk),由微分中值定理 (xk)-q(x2)=q()(xk-x*) k+1-xk=p(x)-(x-1)=(5)( 由于|(x)|L k+1 ≤Lx k k+1 x≤L k+1 X k+1 ≤Lx k+1 x*+L k+1 k+1 k+12 . ( ), k 1 k o x = j x 对于迭代法 + * 1 x x k + - (x ) (x*) = j k - j ( )( x x*) = j¢ x k - 由微分中值定理 k k x - x + 1 ( ) ( ) = k - k -1 j x j x ( )( ) - -1 = ¢ k k j x x x * 1 x x k + - L x x * £ k - k k x - x +1 £ k - k -1 L x x * ( ) k 1 k 1 k = L x - x - x - x + + * ( ) k 1 k 1 k £ L x - x + L x - x + + k k k x x L L x x - - + 1 - £ + 1 1 * 由于 |j ¢( x )|£ L