DocumentCode
2305191
Title
Solving Non-linear Equation Based on Steepest Descent Method
Author
Zhang Tian-liang
Author_Institution
Coll. of Math & Phys., Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
fYear
2011
fDate
25-27 April 2011
Firstpage
216
Lastpage
218
Abstract
This paper concerns with the problem of solving non-linear equation. It is shown that solving non-linear equation is equivalent to the evaluation extremum of funtion. In terms of unconstrained optimization using steepest descent method, we propose an algorithm for solving non-linear equation. It is shown that the proposed algorithm has the same convergence rate as the secant method. Several numerical experiments are also provided to demonstrate the effect of the proposed algorithm.
Keywords
convergence of numerical methods; gradient methods; nonlinear equations; optimisation; convergence rate; evaluation extremum; nonlinear equation; secant method; steepest descent method; unconstrained optimization; Extract roots using optimization technology; Secent method; Steepest descent method;
fLanguage
English
Publisher
ieee
Conference_Titel
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location
Phuket Island
Print_ISBN
978-1-61284-688-0
Type
conf
DOI
10.1109/ICIC.2011.107
Filename
5954544
Link To Document