A continuous and rational solution to Hilbert's 17th problem and several Positivstellensatz cases.


A continuous and rational solution to Hilbert's 17th problem and several Positivstellensatz cases. pdf
with Delzell C., González-Vega L., in: Computational Algebraic Geometry. Eds. Eyssette F., Galligo A.. Birkhäuser (1993) Progress in Math. No109. (colloque MEGA 92) (1993), 61-76.

Abstract : From the Positivstellensatz we construct a continuous and rational solution for Hilbert's 17-th problem and for several cases of the Positivstellensatz. The solutions are obtained using an especially simple method.