A New Newton's Method with Diagonal Jacobian Approximation for Systems of Nonlinear Equations | Science Publications

Journal of Mathematics and Statistics

W. J. Leong¹  M. A. Hassan¹  M. Monsi¹  M. Y. Waziri¹ 

关键词: Nonlinear equations;    large scale systems;    Newton;    diagonal updating;    Jacobian approximation;   

DOI  :  10.3844/jmssp.2010.246.252

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: The major weaknesses of Newton method for nonlinear equations entail computation of Jacobian matrix and solving systems of n linear equations in each of the iterations. Approach: In some extent function derivatives are quit costly and Jacobian is computationally expensive which requires evaluation (storage) of n

【 授权许可】

Unknown