Markus Schweighofer

Publication Activity (10 Years)

Years Active: 2004-2022
Publications (10 Years): 7

Top Topics

Gaussian Derivatives

Interior Point Methods

Top Venues

Math. Oper. Res.

Publications

Victor Magron, Mohab Safey El Din, Markus Schweighofer, Trung Hieu Vu
Exact SOHS Decompositions of Trigonometric Univariate Polynomials with Gaussian Coefficients. ISSAC (2022)
Victor Magron, Mohab Safey El Din, Markus Schweighofer, Trung Hieu Vu
Exact SOHS decompositions of trigonometric univariate polynomials with Gaussian coefficients. CoRR (2022)
Tom-Lukas Kriel, Markus Schweighofer
On the Exactness of Lasserre Relaxations and Pure States Over Real Closed Fields. Found. Comput. Math. 19 (6) (2019)
Victor Magron, Mohab Safey El Din, Markus Schweighofer
Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials. J. Symb. Comput. 93 (2019)
Tom-Lukas Kriel, Markus Schweighofer
On the Exactness of Lasserre Relaxations for Compact Convex Basic Closed Semialgebraic Sets. SIAM J. Optim. 28 (2) (2018)
Cordian Riener, Markus Schweighofer
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. 45 (2018)
Victor Magron, Mohab Safey El Din, Markus Schweighofer
Algorithms for Weighted Sums of Squares Decomposition of Non-negative Univariate Polynomials. CoRR (2017)
Igor Klep, Markus Schweighofer
An Exact Duality Theory for Semidefinite Programming Based on Sums of Squares. Math. Oper. Res. 38 (3) (2013)
Tim Netzer, Daniel Plaumann, Markus Schweighofer
Exposed Faces of Semidefinitely Representable Sets. SIAM J. Optim. 20 (4) (2010)
Markus Schweighofer
Describing convex semialgebraic sets by linear matrix inequalities. ISSAC (2009)
Jiawang Nie, Markus Schweighofer
On the complexity of Putinar's Positivstellensatz. J. Complex. 23 (1) (2007)
Markus Schweighofer
Global Optimization of Polynomials Using Gradient Tentacles and Sums of Squares. SIAM J. Optim. 17 (3) (2006)
Markus Schweighofer
Optimization of Polynomials on Compact Semialgebraic Sets. SIAM J. Optim. 15 (3) (2005)
Markus Schweighofer
On the complexity of Schmu"dgen's Positivstellensatz. J. Complex. 20 (4) (2004)