Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. N. Chow, J. Mallet-Paret and J. A. Yorke, Finding zeros of maps: Homotopy methods that are constructive with probability one, J. of Math. Comp., in press.
B. C. Eaves, Homotopies for the computation of fixed points. Math. Programming 3 (1972), 1–22.
B. C. Eaves and R. Saigal, Homotopies for the computation of fixed points on unbounded regions, Math. Programming, 3 (1972), 225–237.
M. Hirsch and S. Smale, personal communication.
R. B. Kellogg, T. Y. Li and J. A. Yorke, A constructive proof of the Brouwer Fixed Point Theorem and computational results, SIAM J. Num. Anal., 13 (1976), 473–483.
Kojima, M., Computational methods for solving the nonlinear complementarity problem, Keio Engineering Reports, 27 1 (1974), 1–41.
H. Scarf, The approximation of fixed points of a continuous mapping, SIAM J. Appl. Math. 15 (1967), 1328–1343.
S. Samle, A convergent process of price adjustment and global Newton methods, J. Math. Econ. 3 (1976), 1–14.
N. J. Todd, Union Jack Triangulations, TR220, Department of Operations Research, Cornell, University.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Li, TY., Yorke, J.A. (1979). Path following approaches for solving nonlinear equations: Homotopy, continuous newton and projection. In: Peitgen, HO., Walther, HO. (eds) Functional Differential Equations and Approximation of Fixed Points. Lecture Notes in Mathematics, vol 730. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064323
Download citation
DOI: https://doi.org/10.1007/BFb0064323
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09518-7
Online ISBN: 978-3-540-35129-0
eBook Packages: Springer Book Archive