A special type of triangulations in numerical nonlinear analysis.

J. M. Soriano

Collectanea Mathematica (1990)

  • Volume: 41, Issue: 1, page 45-58
  • ISSN: 0010-0757

Abstract

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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.

How to cite

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Soriano, J. M.. "A special type of triangulations in numerical nonlinear analysis.." Collectanea Mathematica 41.1 (1990): 45-58. <http://eudml.org/doc/42256>.

@article{Soriano1990,
abstract = {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.},
author = {Soriano, J. M.},
journal = {Collectanea Mathematica},
keywords = {Ceros de una función; Aproximación; Triangulación; transverse bundle of a foliation; transverse vector fields; compact Hausdorff foliation; Lie algebra of an infinitesimal automorphism of a foliation},
language = {eng},
number = {1},
pages = {45-58},
title = {A special type of triangulations in numerical nonlinear analysis.},
url = {http://eudml.org/doc/42256},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Soriano, J. M.
TI - A special type of triangulations in numerical nonlinear analysis.
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 1
SP - 45
EP - 58
AB - 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.
LA - eng
KW - Ceros de una función; Aproximación; Triangulación; transverse bundle of a foliation; transverse vector fields; compact Hausdorff foliation; Lie algebra of an infinitesimal automorphism of a foliation
UR - http://eudml.org/doc/42256
ER -

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