Positivity and Sums of Squares: A Guide to Recent Results

Claus Scheiderer

Type: Book-Chapter

Publication Date: 2008-09-24

Citations: 115

DOI: https://doi.org/10.1007/978-0-387-09686-5_8

View Publication

Locations

The IMA volumes in mathematics and its applications - View

Similar Works

Action	Title	Year	Authors
+	Sums of Squares and Positive Polynomials	2021	Victoria Powers
+	Sums of Squares: A Real Projective Story	2021	Grigoriy Blekherman Rainer Sinn Gregory Smith Mauricio Velasco
+	Positive polynomials and sums of squares	2008	Murray Marshall
+ PDF Chat	Real Nullstellensatz and sums of squares	2022	Maria Michalska
+	Positivity and Sums of Squares in the Plane	2012	Ha Q. Nguyen
+	Deciding positivity of real polynomials	2000	Eberhard Becker Victoria Powers Thorsten Wörmann
+	Notions of Positivity and the Geometry of Polynomials	2011	Petter Brändén Mikael Passare Mihai Putinar
+	Positive Polynomials and Sums of Squares	2008	Murray Marshall
+	Positive Polynomials and Sums of Squares	2024	Claus Scheiderer
+ PDF Chat	A Sparse Version of Reznick’s Positivstellensatz	2022	Ngoc Hoang Anh Victor Magron Jean B. Lasserre
+	Sums of Squares	2020	Menny Aka Manfred Einsiedler Thomas Ward
+	Positive Polynomials	2001	Alexander Prestel Charles N. Delzell
+	Certificates of Positivity for Real Polynomials	2021	Victoria Powers
+	Positivity, sums of squares and the multi-dimensional moment problem	2002	Salma Kuhlmann M. Marshall
+	A sparse version of Reznick's Positivstellensatz	2020	Ngoc Hoang Anh Mai Victor Magron Jean B. Lasserre
+	Real Algebraic Geometry, Positivity and Convexity	2022	Markus Schweighofer
+	Lectures on Nonnegative Polynomials and Sums of Squares	2021	Grigoriy Blekherman Jannik Lennart Wesner
+	Positivity in Algebraic Geometry II	2004	Robert Lazarsfeld
+	書評 R. Lazarsfeld: Positivity in Algebraic Geometry 1, 2	2010	俊輔高木
+	A Positivstellensatz for forms on the positive orthant	2017	Claus Scheiderer Colin Tan

Works That Cite This (102)

Action	Title	Year	Authors
+	Operator Positivstellensätze for noncommutative polynomials positive on matrix convex sets	2016	Aljaž Zalar
+	Null- and Positivstellensätze for rationally resolvable ideals	2017	Igor Klep Victor Vinnikov Jurij Volčič
+	Quadratic modules, 𝐶*-algebras, and free convexity	2017	V. G. Alekseev Tim Netzer Andreas Thom
+	Proving inequalities and solving global optimization problems via simplified CAD projection	2015	Jingjun Han Zhi Jin Bican Xia
+	Reflection groups and cones of sums of squares	2023	Sebastian Debus Cordian Riener
+ PDF Chat	Representation of nonnegative convex polynomials	2008	Jean B. Lasserre
+	HERMITIAN COMPLEXITY OF REAL POLYNOMIAL IDEALS	2011	John P. D’Angelo Mihai Putinar
+ PDF Chat	Quadratic modules in $R[[X]]$	2010	Doris Augustin Manfred Knebusch
+	On an extension of P olya's Positivstellensatz	2014	Peter J. C. Dickinson Janez Povh
+	On an extension of Pólya’s Positivstellensatz	2014	Peter J. C. Dickinson Janez Povh

Works Cited by This (87)

Action	Title	Year	Authors
+	The Pythagoras number of some affine algebras and local algebras.	1982	M. D. Choi Zhehao Dai T. Y. Lam Bruce Reznick
+	Positivity, sums of squares and the multi-dimensional moment problem	2002	Salma Kuhlmann M. Marshall
+	Sums of squares of regular functions on real algebraic varieties	1999	Claus Scheiderer
+	Polynomials that are positive on an interval	2000	Victoria Powers Bruce Reznick
+	Real algebraic geometry	2014	Jacek Bochnak Michel Coste Marie-Françoise Roy
+ PDF Chat	Lectures on Formally Real Fields	1984	Alexander Prestel
+	Quadratic Forms with Applications to Algebraic Geometry and Topology	1995	Albrecht Pfister
+ PDF Chat	Multivariate moment problems: Geometry and indeterminateness	2009	Mihai Putinar Claus Scheiderer
+	On the absence of uniform denominators in Hilbert’s 17th problem	2005	Bruce Reznick
+	Some concrete aspects of Hilbert’s 17th Problem	2000	Bruce Reznick