Title :
Method for determining relaxation factor for modified Newton-Raphson method
Author :
Fujiwara, K. ; Nakata, T. ; Okamoto, N. ; Muramatsu, K.
Author_Institution :
Dept. of Electr. Eng., Okayama Univ., Japan
fDate :
3/1/1993 12:00:00 AM
Abstract :
In order to reduce the CPU time for the modified Newton-Raphson method which introduces a relaxation factor, the effect of the relaxation factor on the residual of the Galerkin method is examined in detail. It is shown that a relaxation factor which always provides convergent solutions can be easily searched. Various methods of searching for the relaxation factor to be used are compared
Keywords :
convergence of numerical methods; iterative methods; magnetic fields; relaxation theory; CPU time; Galerkin method; convergent solutions; modified Newton-Raphson method; relaxation factor; residual; Current density; Equations; Interpolation; Iterative methods; Magnetic analysis; Magnetic flux; Moment methods; Newton method; Permeability; Shape;
Journal_Title :
Magnetics, IEEE Transactions on