An Elementary Recursive Bound for Effective
                    Positivstellensatz and Hilbert’s 17th
                    problem

Henri Lombardi; Daniel Perrucci; Marie-Françoise Roy

doi:10.1090/memo/1277

An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert’s 17th problem

Memoirs of the American Mathematical Society ◽

10.1090/memo/1277 ◽

2020 ◽

Vol 263 (1277) ◽

pp. 0-0 ◽

Cited By ~ 1

Author(s):

Henri Lombardi ◽

Daniel Perrucci ◽

Marie-Françoise Roy

Keyword(s):

17Th Problem

Download Full-text

A continuous and rational solution to Hubert’s 17th problem and several cases of the Positivstellensatz

Computational Algebraic Geometry ◽

10.1007/978-1-4612-2752-6_5 ◽

1993 ◽

pp. 61-75 ◽

Cited By ~ 3

Author(s):

Charles N. Delzell ◽

Laureano González-Vega ◽

Henri Lombardi

Keyword(s):

Rational Solution ◽

17Th Problem

Download Full-text

Hilbert’s 17th Problem. Quadratic Forms in Real Algebraic Geometry

Real Algebraic Geometry ◽

10.1007/978-3-662-03718-8_7 ◽

1998 ◽

pp. 103-131

Author(s):

Jacek Bochnak ◽

Michel Coste ◽

Marie-Françoise Roy

Keyword(s):

Algebraic Geometry ◽

Quadratic Forms ◽

Real Algebraic Geometry ◽

17Th Problem

Download Full-text

Smale’s 17th Problem: I

Grundlehren der mathematischen Wissenschaften - Condition ◽

10.1007/978-3-642-38896-5_17 ◽

2013 ◽

pp. 331-365

Author(s):

Peter Bürgisser ◽

Felipe Cucker

Keyword(s):

17Th Problem

Download Full-text

Some concrete aspects of Hilbert’s 17th Problem

Real Algebraic Geometry and Ordered Structures - Contemporary Mathematics ◽

10.1090/conm/253/03936 ◽

2000 ◽

pp. 251-272 ◽

Cited By ~ 164

Author(s):

Bruce Reznick

Keyword(s):

17Th Problem

Download Full-text

Hilbert's 17th Problem

Quadratic Forms with Applications to Algebraic Geometry and Topology ◽

10.1017/cbo9780511526077.007 ◽

1995 ◽

pp. 75-93

Keyword(s):

17Th Problem

Download Full-text

An elementary and constructive solution to Hilbert's 17th Problem for matrices

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-07-09068-5 ◽

2008 ◽

Vol 136 (01) ◽

pp. 73-77 ◽

Cited By ~ 12

Author(s):

Christopher J. Hillar ◽

Jiawang Nie

Keyword(s):

Constructive Solution ◽

17Th Problem

Download Full-text

The Procesi–Schacher conjecture and Hilbert's 17th problem for algebras with involution

Journal of Algebra ◽

10.1016/j.jalgebra.2010.03.022 ◽

2010 ◽

Vol 324 (2) ◽

pp. 256-268 ◽

Cited By ~ 5

Author(s):

Igor Klep ◽

Thomas Unger

Keyword(s):

17Th Problem

Download Full-text

Kalman—Yakubovich—Popov Lemma And Hilbert's 17th Problem∗∗Supported by SPbSU, grant 6.38.230.2015.

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2015.09.190 ◽

2015 ◽

Vol 48 (11) ◽

pp. 238-241

Author(s):

Sergei V. Gusev

Keyword(s):

17Th Problem

Download Full-text

Continous, piecewise-polynomial functions which solve Hilbert's 17th problem.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1993.440.157 ◽

1993 ◽

Vol 1993 (440) ◽

pp. 157-174 ◽

Cited By ~ 2

Keyword(s):

Polynomial Functions ◽

Piecewise Polynomial ◽

Piecewise Polynomial Functions ◽

17Th Problem

Download Full-text

On Hilbert’s 17th problem in low degree

Algebra & Number Theory ◽

10.2140/ant.2017.11.929 ◽

2017 ◽

Vol 11 (4) ◽

pp. 929-959 ◽

Cited By ~ 2

Author(s):

Olivier Benoist

Keyword(s):

Low Degree ◽

17Th Problem

Download Full-text