A homotopy method for locating all zeros of a system of polynomials

Author:

Chow Shui-Nee,Mallet-Paret John,Yorke James A.

Publisher

Springer Berlin Heidelberg

Reference8 articles.

1. Abraham, R. and Robbin, J., Transversal Mappings and Flows, Benjamin, New York, 1967.

2. Chow, S.-N., Mallet-Paret, J. and Yorke, J.A., Finding zeros of maps: homotopy methods that are constructive with probability one, Math. Comp. 32 (1978), 887–899.

3. Drexler, F.J., A homotopy method for the calculation of all zero-dimensional polynomial ideals, Continuation Methods, 69–93, H. Wacker (ed.), Academic Press, New York, 1978.

4. Garcia, C.B. and Zangwill, W.I., Global continuation methods for finding all solutions to polynomial systems of equations in N unknowns, preprint.

5. Li, T.-Y. and Yorke, J.A., Finding all the roots of polynomials by homotopy method — numerical investigation, in preparation.

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