Multivariate Sturm-Habicht sequences: real root counting on n-rectangles and triangles.

Laureano González-Vega; Guadalupe Trujillo

Revista Matemática de la Universidad Complutense de Madrid (1997)

  • Volume: 10, Issue: Supl., page 119-130
  • ISSN: 1139-1138

Abstract

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The main purpose of this note is to show how Sturm-Habicht Sequence can be generalized to the multivariate case and used to compute the number of real solutions of a polynomial system of equations with a finite number of complex solutions. Using the same techniques, some formulae counting the number of real solutions of such polynomial systems of equations inside n-dimensional rectangles or triangles in the plane are presented.

How to cite

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González-Vega, Laureano, and Trujillo, Guadalupe. "Multivariate Sturm-Habicht sequences: real root counting on n-rectangles and triangles.." Revista Matemática de la Universidad Complutense de Madrid 10.Supl. (1997): 119-130. <http://eudml.org/doc/44255>.

@article{González1997,
abstract = {The main purpose of this note is to show how Sturm-Habicht Sequence can be generalized to the multivariate case and used to compute the number of real solutions of a polynomial system of equations with a finite number of complex solutions. Using the same techniques, some formulae counting the number of real solutions of such polynomial systems of equations inside n-dimensional rectangles or triangles in the plane are presented.},
author = {González-Vega, Laureano, Trujillo, Guadalupe},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Ecuaciones polinómicas; Resolución de ecuaciones; Dimensiones; Entorno regular; Series; Números reales; Sturm-Habicht sequence; polynomial system of equations; real solutions},
language = {eng},
number = {Supl.},
pages = {119-130},
title = {Multivariate Sturm-Habicht sequences: real root counting on n-rectangles and triangles.},
url = {http://eudml.org/doc/44255},
volume = {10},
year = {1997},
}

TY - JOUR
AU - González-Vega, Laureano
AU - Trujillo, Guadalupe
TI - Multivariate Sturm-Habicht sequences: real root counting on n-rectangles and triangles.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - Supl.
SP - 119
EP - 130
AB - The main purpose of this note is to show how Sturm-Habicht Sequence can be generalized to the multivariate case and used to compute the number of real solutions of a polynomial system of equations with a finite number of complex solutions. Using the same techniques, some formulae counting the number of real solutions of such polynomial systems of equations inside n-dimensional rectangles or triangles in the plane are presented.
LA - eng
KW - Ecuaciones polinómicas; Resolución de ecuaciones; Dimensiones; Entorno regular; Series; Números reales; Sturm-Habicht sequence; polynomial system of equations; real solutions
UR - http://eudml.org/doc/44255
ER -

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