DocumentCode :
1191796
Title :
Solution of Nonlinear Equations
Author :
Kuo, M.C.Y.
Issue :
9
fYear :
1968
Firstpage :
897
Lastpage :
898
Abstract :
Abstract—A new approach to solving a set of nonlinear equations, described by fi(x1, x2, . . ., xn) = 0, i= 1, 2, ..., n, is presented. The computation is carried out by simple matrix inversion and matrix multiplication without evaluation of ∂fi/∂xj. Thus, computation time is saved. The method converges rapidly if the initial approximation is close to the solution. A specific example, using nonlinear equations with two variables, shows the application of the method.
Keywords :
Chemical engineering; Differential equations; Jacobian matrices; Nonlinear equations; Optimal control;
fLanguage :
English
Journal_Title :
Computers, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9340
Type :
jour
DOI :
10.1109/TC.1968.229115
Filename :
1687481
Link To Document :
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