%0 Journal Article %T A Class of Methods for Solving Nonlinear Systems of Equations
解非线性方程组的一类算法 %A 陈志 %A 邓乃扬 %A 薛毅 %J 计算数学 %D 1992 %I %X A class of algorithms for solving nonlinear systems of equations is proposed.Compared with the discrete Newton method, this class has the same quadratic co-nvergency, but its number of evaluations of the function is less than that of thediscrete Newton method per cycle. Some efficient algorithms can be obtained whenthe parameter is chosen by a different means. The nonlinear ABS algorithm, andthe Brown and Brent method are special cases of this class. The numerical exam-ples have showed its effectiveness. %K 非线性方程组 %K 解 %K 算法 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=E9645FB320D872EB7836C4BE74BEF0ED&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=38B194292C032A66&sid=3224764AEAFCF8C2&eid=C6EC7357BCACD3A4&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=1