On the Numerical Method of Following Homotopy Paths

On the Numerical Method of Following Homotopy Paths

Year:    1992

Author:    Feng-Guang Zhao, De-Ren Wang

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 245–253

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1992-JCM-9357

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 3 : pp. 245–253

Published online:    1992-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:   

Author Details

Feng-Guang Zhao

De-Ren Wang