| The matricial relaxation of a linear matrix inequality JW Helton, I Klep, S McCullough Mathematical Programming 138 (1), 401-445, 2013 | 113 | 2013 |
| Connes' embedding conjecture and sums of hermitian squares I Klep, M Schweighofer Advances in Mathematics 217 (4), 1816-1837, 2008 | 112 | 2008 |
| Optimization of polynomials in non-commuting variables S Burgdorf, I Klep, J Povh Springer, 2016 | 91 | 2016 |
| Proper analytic free maps JW Helton, I Klep, S McCullough Journal of Functional Analysis 260 (5), 1476-1490, 2011 | 81 | 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 | 77 | 2013 |
| The convex Positivstellensatz in a free algebra JW Helton, I Klep, S McCullough Advances in Mathematics 231 (1), 516-534, 2012 | 70 | 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 | 55 | 2011 |
| Sparse noncommutative polynomial optimization I Klep, V Magron, J Povh Mathematical Programming 193 (2), 789-829, 2022 | 54 | 2022 |
| 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 (2), 1373-1408, 2018 | 48 | 2018 |
| Analytic mappings between noncommutative pencil balls JW Helton, I Klep, S McCullough Journal of mathematical analysis and applications 376 (2), 407-428, 2011 | 48 | 2011 |
| Noncommutative ball maps JW Helton, I Klep, S McCullough, N Slinglend Journal of Functional Analysis 257 (1), 47-87, 2009 | 48 | 2009 |
| 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 | 45 | 2019 |
| The tracial Hahn-Banach theorem, polar duals, matrix convex sets, and projections of free spectrahedra JW Helton, I Klep, S McCullough Journal of the European Mathematical Soc 19 (2017) 1845–1897, 2017 | 44* | 2017 |
| The truncated tracial moment problem S Burgdorf, I Klep Journal of Operator Theory, 141-163, 2012 | 44 | 2012 |
| Chapter 8: Free Convex Algebraic Geometry JW Helton, I Klep, S McCullough Semidefinite optimization and convex algebraic geometry, 341-405, 2012 | 42 | 2012 |
| Geometry of free loci and factorization of noncommutative polynomials JW Helton, I Klep, J Volčič Advances in Mathematics 331, 589-626, 2018 | 41 | 2018 |
| The tracial moment problem and trace-optimization of polynomials S Burgdorf, K Cafuta, I Klep, J Povh Mathematical programming 137 (1), 557-578, 2013 | 41 | 2013 |
| Pure states, positive matrix polynomials and sums of Hermitian squares I Klep, M Schweighofer Indiana University mathematics journal, 857-874, 2010 | 41 | 2010 |
| Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze M Brešar, I Klep Mathematical Research Letters 16 (4), 605-626, 2009 | 35 | 2009 |
Jurij VolčičUniversity of AucklandVerified email at auckland.ac.nz
