求解非线性方程组的秩1反拟牛顿迭代法  

Single rank inverse quasi-Newton iterative method for solving nonlinear simultaneous equations

作　　者：秦学志[1] 刘慧[1] 罗远诠[1] 

机构地区：[1]大连理工大学应用数学系

出　　处：《大连理工大学学报》1995年第6期749-753,共5页Journal of Dalian University of Technology

摘　　要：给出了求解非线性方程组的秩１反拟牛顿迭代法，并证明了其在一定条件下收敛及具有超线性敛速或二阶敛速，且其每步的计算量少于著名的Ｂｒｏｙｄｅｎ秩１修正方法的计算量，计算实例表明，该方法是较有效的。This paper presents a single rank inverse quasi-Newton iterative method for solvingnon-linear simultaneous equations,and proves that it is superlinear convergence or quadraticconvergence under some conditions. The amount of calculation per iterative step of this method isless than that of Broyden,s single rank quasi-Newton method. The numerical results show thehigh efficiency of the new method.

关 键 词：牛顿法 非线性方程 迭代法 

分 类 号：O241.7[理学—计算数学]