Title

Method for determining relaxation factor for modified Newton-Raphson method

Author(s)

Koji Fujiwara Okayama University
Takayoshi Nakata Okayama University
N. Okamoto Okayama Univeristy
Kazuhiro Muramatsu ALPS Electric Company Limited, Miyagi

Publication Date

1992-10-06

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

Comments

Digital Object Identifier: 10.1109/20.250793
Published with permission from the copyright holder. This is the institute's copy, as published in Magnetics, IEEE Transactions on, Mar 1993, Volume 29, Issue 2, Pages 1962-1965.
Publisher URL:http://dx.doi.org/10.1109/20.250793
Copyright © 1993 IEEE. All rights reserved.