Markus Schweighofer

15 papers B 2Journal 13
YearRankTypeTitle / Venue / Authors
2024 J jnl
Sum-of-Squares Certificates for Copositivity via Test States.
SIAM J. Appl. Algebra Geom.
Markus Schweighofer, Luis Felipe Vargas
2022 B conf
Exact SOHS Decompositions of Trigonometric Univariate Polynomials with Gaussian Coefficients.
ISSAC
Victor Magron, Mohab Safey El Din, Markus Schweighofer, Trung Hieu Vu
2022 J jnl
Exact SOHS decompositions of trigonometric univariate polynomials with Gaussian coefficients.
CoRR
Victor Magron, Mohab Safey El Din, Markus Schweighofer, Trung Hieu Vu
2019 J jnl
Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials.
J. Symb. Comput.
Victor Magron, Mohab Safey El Din, Markus Schweighofer
2019 J jnl
On the Exactness of Lasserre Relaxations and Pure States Over Real Closed Fields.
Found. Comput. Math.
Tom-Lukas Kriel, Markus Schweighofer
2018 J jnl
On the Exactness of Lasserre Relaxations for Compact Convex Basic Closed Semialgebraic Sets.
SIAM J. Optim.
Tom-Lukas Kriel, Markus Schweighofer
2018 J jnl
Optimization approaches to quadrature: New characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions.
J. Complex.
Cordian Riener, Markus Schweighofer
2017 J jnl
Algorithms for Weighted Sums of Squares Decomposition of Non-negative Univariate Polynomials.
CoRR
Victor Magron, Mohab Safey El Din, Markus Schweighofer
2013 J jnl
An Exact Duality Theory for Semidefinite Programming Based on Sums of Squares.
Math. Oper. Res.
Igor Klep, Markus Schweighofer
2010 J jnl
Exposed Faces of Semidefinitely Representable Sets.
SIAM J. Optim.
Tim Netzer, Daniel Plaumann, Markus Schweighofer
2009 B conf
Describing convex semialgebraic sets by linear matrix inequalities.
ISSAC
Markus Schweighofer
2007 J jnl
On the complexity of Putinar's Positivstellensatz.
J. Complex.
Jiawang Nie, Markus Schweighofer
2006 J jnl
Global Optimization of Polynomials Using Gradient Tentacles and Sums of Squares.
SIAM J. Optim.
Markus Schweighofer
2005 J jnl
Optimization of Polynomials on Compact Semialgebraic Sets.
SIAM J. Optim.
Markus Schweighofer
2004 J jnl
On the complexity of Schmu"dgen's Positivstellensatz.
J. Complex.
Markus Schweighofer