节点文献
求方程实根的一类两点迭代法
A TWO-POINT ITERATION METHOD OF REAL SOLUTIONS OF THE EQUATION
【摘要】 给出了一类求方程 f(x) =0实根的新的两点迭代格式xk +1=xk- (xk-xk -1) f(xk)( 1 + 1β) f(xk) - 1β( 1 - β) f( ( 1 - β)xk+ βxk -1) + β1 - βf(xk -1)( 0 <β <1 ) ,它是平方收敛的
【Abstract】 If a new tow-point iteration method of real. Solutions of the equation f(x) =0 is supposed in this paper, the iteration algorithm can be given by x k+1 =x k-(x k-x k-1 )f(x k)(1+1β) f(x k)-1β(1-β)f((1-β)x k+βx k-1 )+β1-βf(x k-1 ) (0<β<1) , then the order of convergence will be p=2 .
- 【文献出处】 山东工业大学学报 ,Journal of Shandong University of Technology , 编辑部邮箱 ,2001年03期
- 【分类号】O242.2
- 【被引频次】3
- 【下载频次】62