Full paper in PDF:
$%L. González-Vega and G. Trujillo, Multivariate Sturm-Habicht sequences: Real root counting on n-rectangles and triangles, Rev. Mat. Univ. Complut. Madrid 10 (1997), supplementary, 119–130. %$

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 -dimensional rectangles or triangles in the plane are presented.

1991 Mathematics Subject Classification: 12D10, 13P05.