Year: 1992
Author: Shu-Gong Zhang, Guo-Chen Feng
Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 263–272
Abstract
To solve $F(x)=0$ numerically, we first prove that there exists a tube-like neighborhood around the curve in $R^n$ defined by the Newton homotopy in which $F(x)$ possesses some good properties. Then in this neighborhood, we set up an algorithm which is numerically stable and convergent. Since we can ensure that the iterative points are not far from the homotopy curve while computing, we need not apply the predictor-corrector which is often used in path following methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1992-JCM-9359
Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 263–272
Published online: 1992-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10