An elementary recursive bound for effective positivstellensatz and Hilbert's 17th problem /

"We prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely we express a nonnegative polynomial as a sum of squares of rational functions, and we obtain as degree estimates for the numerators and denominators the following tower of five exponentials 22...

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Bibliographic Details
Main Authors: Lombardi, Henri (Author), Perrucci, Daniel (Author), Roy, M.-F. (Marie-Françoise) (Author)
Format: Book
Language:English
Published: Providence, RI : American Mathematical Society, 2020.
Series:Memoirs of the American Mathematical Society no. 1277.
Subjects: