On the complexity of Putinar's Positivstellensatz J Nie, M Schweighofer Journal of Complexity 23 (1), 135-150, 2007 | 220* | 2007 |
Optimization of polynomials on compact semialgebraic sets M Schweighofer SIAM Journal on Optimization 15 (3), 805-825, 2005 | 199 | 2005 |
On the complexity of Schmüdgen's Positivstellensatz M Schweighofer Journal of Complexity 20 (4), 529-543, 2004 | 128 | 2004 |
Connes' embedding conjecture and sums of hermitian squares I Klep, M Schweighofer Advances in Mathematics 217 (4), 1816-1837, 2008 | 109 | 2008 |
Global optimization of polynomials using gradient tentacles and sums of squares M Schweighofer SIAM Journal on Optimization 17 (3), 920-942, 2006 | 106 | 2006 |
An algorithmic approach to Schmüdgen's Positivstellensatz M Schweighofer Journal of Pure and Applied Algebra 166 (3), 307-319, 2002 | 74 | 2002 |
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 | 69 | 2013 |
Sums of Hermitian squares and the BMV conjecture I Klep, M Schweighofer Journal of Statistical Physics 133 (4), 739-760, 2008 | 58 | 2008 |
Exposed faces of semidefinitely representable sets T Netzer, D Plaumann, M Schweighofer SIAM Journal on Optimization 20 (4), 1944-1955, 2010 | 48 | 2010 |
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 | 42 | 2007 |
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 | 40 | 2019 |
Iterated rings of bounded elements and generalizations of Schmüdgens Positivstellensatz M Schweighofer Walter de Gruyter GmbH & Co. KG 2003 (554), 19-45, 2003 | 38 | 2003 |
Pure states, positive matrix polynomials and sums of hermitian squares I Klep, M Schweighofer Indiana University mathematics journal, 857-874, 2010 | 36 | 2010 |
Pure states, nonnegative polynomials and sums of squares S Burgdorf, C Scheiderer, M Schweighofer Commentarii Mathematici Helvetici 87 (1), 113-140, 2012 | 34 | 2012 |
A Nichtnegativstellensatz for polynomials in noncommuting variables I Klep, M Schweighofer Israel Journal of Mathematics 161, 17-27, 2007 | 28 | 2007 |
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 | 24 | 2019 |
Algorithmische beweise für nichtnegativ-und positivstellensätze M Schweighofer Master's thesis, Universität Passau 136, 1-105, 1999 | 24 | 1999 |
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 | 23 | 2018 |
Certificates for nonnegativity of polynomials with zeros on compact semialgebraic sets M Schweighofer manuscripta mathematica 117 (4), 407-428, 2005 | 16 | 2005 |
Infeasibility certificates for linear matrix inequalities I Klep, M Schweighofer arXiv preprint arXiv:1108.5930, 2011 | 10 | 2011 |