DocumentCode :
801180
Title :
Optimum step size control for Newton-Raphson solution of nonlinear vector equations
Author :
Whitney, David
Author_Institution :
M.I.T., Cambridge, MA, USA
Volume :
14
Issue :
5
fYear :
1969
fDate :
10/1/1969 12:00:00 AM
Firstpage :
572
Lastpage :
574
Abstract :
The problem of solving a non-linear vector equation of the form 
for a 
which corresponds to a given 
is attacked by Newton-Raphson. To keep the lengthy evaluations of partial derivatives at a minimum, each step is optimized to get the search as close to the solution as possible. Substantial savings in computation time are realized and solutions can be obtained efficiently even when the initial guess is not close to the ultimate answer.
for a which corresponds to a given is attacked by Newton-Raphson. To keep the lengthy evaluations of partial derivatives at a minimum, each step is optimized to get the search as close to the solution as possible. Substantial savings in computation time are realized and solutions can be obtained efficiently even when the initial guess is not close to the ultimate answer.Keywords :
Newton-Raphson methods; Nonlinear equations; Vector analysis; Jacobian matrices; Nonlinear equations; Nonlinear systems; Size control; Testing; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1969.1099261
Filename :
1099261
Link To Document :
