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A special type of triangulations in numerical nonlinear analysis

  • Autores: José María Soriano Arbizu
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 41, Fasc. 1, 1990, págs. 45-58
  • Idioma: inglés
  • Títulos paralelos:
    • Un tipo especial de triangulaciones en análisis numérico no lineal
  • Enlaces
  • Resumen
    • To calculate the zeros of a map f : Rn ? Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of triangulations are constructed and shown to be useful to calculate zeros of piecewise linear approximations of f.

  • Referencias bibliográficas
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    • C. B. Garcia and W. I. Zangwill, Finding all solutions to polynomial systems and other equations, Math. Programming 16 (1979), 159–176.
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    • N. G. Lloyd, Degree Theory, Cambridge University Press, Cambridge-New York-Melbourne, 1978.
    • E. Spanier, Algebraic Topology, Springer, Berlin-Heidelberg-New York-Tokyo, 1966.
    • M. J. Todd, The Computation of Fixed Points and Applications, Lecture Notes in Economics and Mathematical Systems Vol. 124, Springer, Berlin-Heidelberg-New...

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