计算机工程与应用Issue(14):45-47,179,4.DOI:10.3778/j.issn.1002-8331.1208-0185
求解非线性方程组的改进不精确雅可比牛顿法
Modified incomplete Jacobian Newton method for nonlinear equations
摘要
Abstract
This paper presents a new modified Incomplete Jacobian Newton(IJN)method for nonlinear equations whose incomplete Jacobian matrix is singular in a neighborhood of exact solution. This method uses a part of elements of the Jacobian matrix and equations function to obtain the next iteration point without additional computational capacity. The numerical tests show that the modified IJN method has the same calculation efficiency with original IJN method, but more convenience and effective.关键词
不精确雅可比矩阵/非线性方程组/牛顿法Key words
incomplete Jacobian matrix/nonlinear equations/Newton method分类
数理科学引用本文复制引用
陈飞,王海军,曹苏玉..求解非线性方程组的改进不精确雅可比牛顿法[J].计算机工程与应用,2014,(14):45-47,179,4.基金项目
江苏省自然科学基金(No.BK2010186);中央高校基本科研业务费专项资金(No.2010LKSX01)。 ()