DocumentCode :
1176687
Title :
A systematic search method for obtaining multiple solutions of simultaneous nonlinear equations
Author :
Chao, Kwong-Shu ; Liu, Dan-kai ; Pan, Ching-tsai
Volume :
22
Issue :
9
fYear :
1975
fDate :
9/1/1975 12:00:00 AM
Firstpage :
748
Lastpage :
753
Abstract :
A systematic search method has been developed for obtaining the multiple solutions of a nonlinear equation of the form 
, where f is a continuously differentiable function from 
. The method is based on numerical integration of the associated system of differential equations 
for 
and 
along the space curve 
of intersection 
. The plus or minus sign is chosen so as to make 
move in the desired direction on .
, where f is a continuously differentiable function from . The method is based on numerical integration of the associated system of differential equations for and along the space curve of intersection . The plus or minus sign is chosen so as to make move in the desired direction on .Keywords :
Nonlinear algebraic equations; Nonlinear networks and systems; Chaos; Differential equations; Helium; Iterative methods; Jacobian matrices; Newton method; Nonlinear equations; Nonlinear systems; Piecewise linear techniques; Search methods;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1975.1084122
Filename :
1084122
Link To Document :
