摘要
在求解二维非线性代数方程组的根中,通过引入幂平均的概念来对已知的牛顿迭代法进行修正和讨论,从而可以得到一类幂平均迭代算法。然后,把算法推广到n维非线性代数方程组上。最后通过实例说明所得到的算法的迭代次数更少,结果更有效。
In solving the root of two dimension nonlinear algebraic equations,the concept of power mean was introduced to revise and analyze the known Newton iterative method.A class of iterative methods about power mean is got.Then,these methods are generalized to the n-dimensional nonlinear algebraic equations.Finally,the numerical results show that the iterative numbers of these methods are much less,and the results more effective.
出处
《河南科技大学学报（自然科学版）》
CAS
北大核心
2011年第6期77-80,9,共4页
Journal of Henan University of Science And Technology:Natural Science
基金
国家自然科学基金项目(10771073)
关键词
非线性代数方程组
幂平均
n维牛顿迭代法
雅各比矩阵
Nonlinear algebraic equations
Power means
N-dimensional Newton method
Jacobian matrix
