Igor Klep

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 10

Top Topics

Top Venues

J. Comb. Theory, Ser. A

J. Lond. Math. Soc.

Publications

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) (2024)
Igor Klep, Victor Magron, Jurij Volcic, Jie Wang
State polynomials: positivity, optimization and nonlinear Bell inequalities. Math. Program. 207 (1) (2024)
Igor Klep, Victor Magron, Janez Povh
Sparse noncommutative polynomial optimization. Math. Program. 193 (2) (2022)
J. William Helton, Igor Klep, Scott A. McCullough, Jurij Volcic
Noncommutative Polynomials Describing Convex Sets. Found. Comput. Math. 21 (2) (2021)
Igor Klep, Jiawang Nie
A Matrix Positivstellensatz with Lifting Polynomials. SIAM J. Optim. 30 (1) (2020)
Igor Klep, Janez Povh, Jurij Volcic
Minimizer Extraction in Polynomial Optimization Is Robust. SIAM J. Optim. 28 (4) (2018)
Igor Klep, James Eldred Pascoe, Jurij Volcic
Regular and positive noncommutative rational functions. J. Lond. Math. Soc. 95 (2) (2017)
Igor Klep, Janez Povh
Constrained trace-optimization of polynomials in freely noncommuting variables. J. Glob. Optim. 64 (2) (2016)
Igor Klep, Spela Spenko
(F). J. Comb. Theory, Ser. A 143 (2016)
Kristijan Cafuta, Igor Klep, Janez Povh
Rational sums of hermitian squares of free noncommutative polynomials. Ars Math. Contemp. 9 (2) (2015)
Sabine Burgdorf, Kristijan Cafuta, Igor Klep, Janez Povh
The tracial moment problem and trace-optimization of polynomials. Math. Program. 137 (1-2) (2013)
Igor Klep, Markus Schweighofer
An Exact Duality Theory for Semidefinite Programming Based on Sums of Squares. Math. Oper. Res. 38 (3) (2013)
Sabine Burgdorf, Kristijan Cafuta, Igor Klep, Janez Povh
Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials. Comput. Optim. Appl. 55 (1) (2013)
J. William Helton, Igor Klep, Scott A. McCullough
The matricial relaxation of a linear matrix inequality. Math. Program. 138 (1-2) (2013)
Kristijan Cafuta, Igor Klep, Janez Povh
Constrained Polynomial Optimization Problems with Noncommuting Variables. SIAM J. Optim. 22 (2) (2012)
Kristijan Cafuta, Igor Klep, Janez Povh
NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials. Optim. Methods Softw. 26 (3) (2011)
J. William Helton, Igor Klep, Scott A. McCullough
Relaxing LMI domination matricially. CDC (2010)
J. William Helton, Igor Klep, Raul Gomez
Determinant Expansions of Signed Matrices and of Certain Jacobians. SIAM J. Matrix Anal. Appl. 31 (2) (2009)