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Path following approaches for solving nonlinear equations: Homotopy, continuous newton and projection

Part of the Lecture Notes in Mathematics book series (LNM,volume 730)

Keywords

  • Newton Method
  • Projection Method
  • Complementarity Problem
  • Nonlinear Complementarity Problem
  • Homotopy Path

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References

  1. 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.

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  5. 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.

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© 1979 Springer-Verlag

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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

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  • DOI: https://doi.org/10.1007/BFb0064323

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09518-7

  • Online ISBN: 978-3-540-35129-0

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