INVESTIGADORES
PERRUCCI Daniel Roberto
artículos
Título:
An elementary recursive bound for effective Positivstellensatz and Hilbert 17-th problem
Autor/es:
HENRI LOMBARDI; DANIEL PERRUCCI; MARIE-FRANCOISE ROY
Revista:
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY (AMS)
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Lugar: Providence; Año: 2020 vol. 263 p. 1 - 113
ISSN:
0065-9266
Resumen:
We prove elementary recursive bounds in the degrees for Positivstellensatzand Hilbert 17-th problem, which is the expression of a nonnegative polynomialas a sum of squares of rational functions. We obtain a tower of fiveexponentials. A precise bound in terms of the number and degree of thepolynomials and their number of variables is provided in the paper.
