TY - JOUR
T1 - On the Numerical Method of Following Homotopy Paths
AU - Zhao , Feng-Guang
AU - Wang , De-Ren
JO - Journal of Computational Mathematics
VL - 3
SP - 245
EP - 253
PY - 1992
DA - 1992/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9357.html
KW - 
AB - <p style="text-align: justify;">In this paper, we develop one kind of method, called self-adaptive method (SAM), to trace a continuous curve of a homotopy system for the solution of a nonlinear system of equations in finite steps. The existence of the continuous solution, the determination of safe initial points, and the test of regularity and stop criterion corresponding to this method are discussed. As a result, the method can follow the curve efficiently. The numerical results show that our method is satisfactory.</p>