Mathematics – Numerical Analysis
Scientific paper
1999-06-09
Mathematics
Numerical Analysis
Welcome to any comments to chenw@homer.shinshu-u.ac.jp or chenwwhy@hotmail.com
Scientific paper
This paper provides a general proof of a relationship theorem between nonlinear analogue polynomial equations and the corresponding Jacobian matrix, presented recently by the present author. This theorem is also verified generally effective for all nonlinear polynomial algebraic system of equations. As two particular applications of this theorem, we gave a Newton formula without requiring the evaluation of nonlinear function vector as well as a simple formula to estimate the relative error of the approximate Jacobian matrix. Finally, some possible applications of this theorem in nonlinear system analysis are discussed.
No associations
LandOfFree
Relationship formula between nonlinear polynomial equations and the corresponding Jacobian matrix does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relationship formula between nonlinear polynomial equations and the corresponding Jacobian matrix, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relationship formula between nonlinear polynomial equations and the corresponding Jacobian matrix will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-215512