%0 Journal Article
%T A HIGH EFFICIENCY ITERATIVE SOLUTION METHOD FOR H-NONLINEAR EQUATION SYSTEMS<br>H-非线性方程组的一种高效迭代解法
%A Zhao Shuangsuo
%A Zhang Xinping
%A <br>赵双锁
%A 张新平
%J 计算数学
%D 2000
%I 
%X For the H-nonlinear equation systems produced by stiffnonlinear function f(y): y Rm Rm, the paper presents a new Newton-like iterative solution method:completely-square method, establishes its convergence theory and offersfour simple algorithms for approximate calculation of optimum iterativeparameter in this method. The iterative method do not need tocompute(f)2, and LU-decomposition only need to be done forsome m m matrix. Numerical examples show that if appropriateapproximate optimum iterative parameter is selected on the coefficientsin the hybrid method that products the H-nonlinear equation systems then theiterative solution method in the paper is high efficieney.
%K H-nonlinear equation system
%K Convergence of iteration Solution method
%K Completely-square iteration method
%K Hybrid method for stiff problem
%K A0-stability<br>H－非线性方程组
%K 迭代解法
%K 收敛性
%K 守全平方迭代法
%K 微分方程组
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=23DE664FE5DE17F4&yid=9806D0D4EAA9BED3&vid=BC12EA701C895178&iid=E158A972A605785F&sid=84A93BA251D28205&eid=B7ACE2F11789CAE0&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=24