Bican Xia
Department of Mathematics, Peking University
Beijing 100871, China
Abstract.
Based on our algorithms for the study of real solutions of semi-algebraic
systems (SAS), two programs, called 'realzero' and 'discoverer', have
been realized under Maple. With 'realzero', one can count and isolate
the real solutions of a given SAS in which all the polynomials have
integer (rational) coefficients. As for a SAS with parametric coefficients,
one can use 'discoverer' to discover the necessary and
sufficient condition for the SAS to have a given number of distinct real
solutions.