Follow
Markus Schweighofer
Markus Schweighofer
Professor of Mathematics, University of Konstanz, Germany
Verified email at uni-konstanz.de - Homepage
Title
Cited by
Cited by
Year
On the complexity of Putinar's Positivstellensatz
J Nie, M Schweighofer
Journal of Complexity 23 (1), 135-150, 2007
2152007
Optimization of polynomials on compact semialgebraic sets
M Schweighofer
SIAM Journal on Optimization 15 (3), 805-825, 2005
1982005
On the complexity of Schmüdgen's Positivstellensatz
M Schweighofer
Journal of Complexity 20 (4), 529-543, 2004
1232004
Connes' embedding conjecture and sums of hermitian squares
I Klep, M Schweighofer
Advances in Mathematics 217 (4), 1816-1837, 2008
1072008
Global optimization of polynomials using gradient tentacles and sums of squares
M Schweighofer
SIAM Journal on Optimization 17 (3), 920-942, 2006
1062006
An algorithmic approach to Schmüdgen's Positivstellensatz
M Schweighofer
Journal of Pure and Applied Algebra 166 (3), 307-319, 2002
732002
An exact duality theory for semidefinite programming based on sums of squares
I Klep, M Schweighofer
Mathematics of Operations Research 38 (3), 569-590, 2013
702013
Sums of Hermitian squares and the BMV conjecture
I Klep, M Schweighofer
Journal of Statistical Physics 133 (4), 739-760, 2008
582008
Exposed faces of semidefinitely representable sets
T Netzer, D Plaumann, M Schweighofer
SIAM Journal on Optimization 20 (4), 1944-1955, 2010
482010
A note on the representation of positive polynomials with structured sparsity
D Grimm, T Netzer, M Schweighofer
Archiv der Mathematik 89 (5), 399-403, 2007
412007
Dilations, linear matrix inequalities, the matrix cube problem and beta distributions
J Helton, I Klep, S McCullough, M Schweighofer
American Mathematical Society 257 (1232), 2019
402019
Iterated rings of bounded elements and generalizations of Schmüdgens Positivstellensatz
M Schweighofer
Walter de Gruyter GmbH & Co. KG 2003 (554), 19-45, 2003
382003
Pure states, positive matrix polynomials and sums of hermitian squares
I Klep, M Schweighofer
Indiana University mathematics journal, 857-874, 2010
342010
Pure states, nonnegative polynomials and sums of squares
S Burgdorf, C Scheiderer, M Schweighofer
Commentarii Mathematici Helvetici 87 (1), 113-140, 2012
332012
A Nichtnegativstellensatz for polynomials in noncommuting variables
I Klep, M Schweighofer
Israel Journal of Mathematics 161, 17-27, 2007
272007
Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials
V Magron, MS El Din, M Schweighofer
Journal of Symbolic Computation 93, 200-220, 2019
242019
Algorithmische beweise für nichtnegativ-und positivstellensätze
M Schweighofer
Master's thesis, Universität Passau 136, 1-105, 1999
241999
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 …
C Riener, M Schweighofer
Journal of Complexity 45, 22-54, 2018
232018
Certificates for nonnegativity of polynomials with zeros on compact semialgebraic sets
M Schweighofer
manuscripta mathematica 117 (4), 407-428, 2005
162005
Infeasibility certificates for linear matrix inequalities
I Klep, M Schweighofer
arXiv preprint arXiv:1108.5930, 2011
112011
The system can't perform the operation now. Try again later.
Articles 1–20