Connes' embedding conjecture and sums of hermitian squares I Klep, M Schweighofer Advances in Mathematics 217 (4), 1816-1837, 2008 | 111 | 2008 |
The matricial relaxation of a linear matrix inequality JW Helton, I Klep, S McCullough Mathematical Programming 138 (1), 401-445, 2013 | 107 | 2013 |
Proper analytic free maps JW Helton, I Klep, S McCullough Journal of Functional Analysis 260 (5), 1476-1490, 2011 | 75 | 2011 |
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 | 74 | 2013 |
Optimization of polynomials in non-commuting variables S Burgdorf, I Klep, J Povh Springer, 2016 | 69 | 2016 |
The convex Positivstellensatz in a free algebra JW Helton, I Klep, S McCullough Advances in Mathematics 231 (1), 516-534, 2012 | 65 | 2012 |
Sums of Hermitian squares and the BMV conjecture I Klep, M Schweighofer Journal of Statistical Physics 133 (4), 739-760, 2008 | 60 | 2008 |
NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials K Cafuta, I Klep, J Povh Optimization methods and Software 26 (3), 363-380, 2011 | 54 | 2011 |
Analytic mappings between noncommutative pencil balls JW Helton, I Klep, S McCullough Journal of mathematical analysis and applications 376 (2), 407-428, 2011 | 47 | 2011 |
Noncommutative ball maps JW Helton, I Klep, S McCullough, N Slinglend Journal of Functional Analysis 257 (1), 47-87, 2009 | 47 | 2009 |
Sparse noncommutative polynomial optimization I Klep, V Magron, J Povh Mathematical Programming, 1-41, 2022 | 45 | 2022 |
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 | 43 | 2019 |
The truncated tracial moment problem S Burgdorf, I Klep Journal of Operator Theory, 141-163, 2012 | 43 | 2012 |
Extreme points of matrix convex sets, free spectrahedra, and dilation theory E Evert, JW Helton, I Klep, S McCullough The Journal of Geometric Analysis 28, 1373-1408, 2018 | 41 | 2018 |
Chapter 8: Free Convex Algebraic Geometry JW Helton, I Klep, S McCullough Semidefinite optimization and convex algebraic geometry, 341-405, 2012 | 40 | 2012 |
The tracial moment problem and trace-optimization of polynomials S Burgdorf, K Cafuta, I Klep, J Povh Mathematical programming 137 (1), 557-578, 2013 | 38 | 2013 |
The tracial Hahn-Banach theorem, polar duals, matrix convex sets, and projections of free spectrahedra, to appear in J. Eur. Math. Soc JW Helton, I Klep, S McCullough | 38* | |
Pure states, positive matrix polynomials and sums of hermitian squares I Klep, M Schweighofer Indiana University mathematics journal, 857-874, 2010 | 36 | 2010 |
Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze M Brešar, I Klep Mathematical Research Letters 16 (4), 605-626, 2009 | 34 | 2009 |
Free function theory through matrix invariants I Klep, Š Špenko Canadian Journal of Mathematics 69 (2), 408-433, 2017 | 32 | 2017 |