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ORCIDIgor Klep
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2020 – today
- 2024
[j18]Igor Klep, Victor Magron
, Jurij Volcic, Jie Wang:
State polynomials: positivity, optimization and nonlinear Bell inequalities. Math. Program. 207(1): 645-691 (2024)- [j17]Igor Klep, Tea Strekelj, Aljaz Zalar:
A Random Copositive Matrix Is Completely Positive with Positive Probability. SIAM J. Appl. Algebra Geom. 8(3): 583-611 (2024) - [j16]Timotej Hrga, Igor Klep, Janez Povh:
Certifying Optimality of Bell Inequality Violations: Noncommutative Polynomial Optimization through Semidefinite Programming and Local Optimization. SIAM J. Optim. 34(2): 1341-1373 (2024) - 2022
- [j15]Igor Klep, Victor Magron, Janez Povh:
Sparse noncommutative polynomial optimization. Math. Program. 193(2): 789-829 (2022) - 2021
- [j14]J. William Helton, Igor Klep, Scott A. McCullough, Jurij Volcic:
Noncommutative Polynomials Describing Convex Sets. Found. Comput. Math. 21(2): 575-611 (2021) - 2020
- [j13]Igor Klep, Jiawang Nie:
A Matrix Positivstellensatz with Lifting Polynomials. SIAM J. Optim. 30(1): 240-261 (2020)
2010 – 2019
- 2018
- [j12]Igor Klep, Janez Povh, Jurij Volcic:
Minimizer Extraction in Polynomial Optimization Is Robust. SIAM J. Optim. 28(4): 3177-3207 (2018) - 2017
- [j11]Igor Klep, James Eldred Pascoe, Jurij Volcic:
Regular and positive noncommutative rational functions. J. Lond. Math. Soc. 95(2): 613-632 (2017) - 2016
- [j10]Igor Klep, Spela Spenko:
Sweeping words and the length of a generic vector subspace of Mn(F). J. Comb. Theory A 143: 56-65 (2016) - [j9]Igor Klep, Janez Povh:
Constrained trace-optimization of polynomials in freely noncommuting variables. J. Glob. Optim. 64(2): 325-348 (2016) - 2015
- [j8]Kristijan Cafuta, Igor Klep, Janez Povh:
Rational sums of hermitian squares of free noncommutative polynomials. Ars Math. Contemp. 9(2): 243-259 (2015) - 2013
- [j7]Sabine Burgdorf, Kristijan Cafuta, Igor Klep, Janez Povh:
Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials. Comput. Optim. Appl. 55(1): 137-153 (2013) - [j6]Igor Klep, Markus Schweighofer:
An Exact Duality Theory for Semidefinite Programming Based on Sums of Squares. Math. Oper. Res. 38(3): 569-590 (2013) - [j5]Sabine Burgdorf, Kristijan Cafuta, Igor Klep, Janez Povh:
The tracial moment problem and trace-optimization of polynomials. Math. Program. 137(1-2): 557-578 (2013) - [j4]J. William Helton, Igor Klep, Scott A. McCullough:
The matricial relaxation of a linear matrix inequality. Math. Program. 138(1-2): 401-445 (2013) - 2012
- [j3]Kristijan Cafuta, Igor Klep, Janez Povh:
Constrained Polynomial Optimization Problems with Noncommuting Variables. SIAM J. Optim. 22(2): 363-383 (2012) - 2011
- [j2]Kristijan Cafuta, Igor Klep, Janez Povh:
NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials. Optim. Methods Softw. 26(3): 363-380 (2011) - 2010
- [c1]J. William Helton, Igor Klep, Scott A. McCullough:
Relaxing LMI domination matricially. CDC 2010: 3331-3336
2000 – 2009
- 2009
- [j1]J. William Helton, Igor Klep, Raul Gomez:
Determinant Expansions of Signed Matrices and of Certain Jacobians. SIAM J. Matrix Anal. Appl. 31(2): 732-754 (2009)
Coauthor Index
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