Igor Klep

According to our database, Igor Klep authored at least 22 papers between 2009 and 2025.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of three.

2025

Quantitative Quantum Soundness for Bipartite Compiled Bell Games via the Sequential NPA Hierarchy.

Igor Klep, Connor Paddock, Marc-Olivier Renou, Simon Schmidt, Lucas Tendick, Xiangling Xu, Yuming Zhao

CoRR, July, 2025

2024

Matrix extreme points and free extreme points of free spectrahedra.

Aidan Epperly, Eric Evert, J. William Helton, Igor Klep

Optim. Methods Softw., November, 2024

State polynomials: positivity, optimization and nonlinear Bell inequalities.

Igor Klep, Victor Magron, Jurij Volcic, Jie Wang

Math. Program., September, 2024

Certifying Optimality of Bell Inequality Violations: Noncommutative Polynomial Optimization through Semidefinite Programming and Local Optimization.

Timotej Hrga, Igor Klep, Janez Povh

SIAM J. Optim., 2024

A Random Copositive Matrix Is Completely Positive with Positive Probability.

Igor Klep, Tea Strekelj, Aljaz Zalar

SIAM J. Appl. Algebra Geom., 2024

Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators.

Adam Bene Watts, Anirban Chowdhury, Aidan Epperly, J. William Helton, Igor Klep

Quantum, 2024

2022

Sparse noncommutative polynomial optimization.

Igor Klep, Victor Magron, Janez Povh

Math. Program., 2022

2021

Noncommutative Polynomials Describing Convex Sets.

J. William Helton, Igor Klep, Scott A. McCullough, Jurij Volcic

Found. Comput. Math., 2021

2020

A Matrix Positivstellensatz with Lifting Polynomials.

Igor Klep, Jiawang Nie

SIAM J. Optim., 2020

2018

Minimizer Extraction in Polynomial Optimization Is Robust.

Igor Klep, Janez Povh, Jurij Volcic

SIAM J. Optim., 2018

2017

Regular and positive noncommutative rational functions.

Igor Klep, James Eldred Pascoe, Jurij Volcic

J. Lond. Math. Soc., 2017

2016

Constrained trace-optimization of polynomials in freely noncommuting variables.

Igor Klep, Janez Povh

J. Glob. Optim., 2016

Sweeping words and the length of a generic vector subspace of M_n(F).

Igor Klep, Spela Spenko

J. Comb. Theory A, 2016

2015

Rational sums of hermitian squares of free noncommutative polynomials.

Kristijan Cafuta, Igor Klep, Janez Povh

Ars Math. Contemp., 2015

2013

The matricial relaxation of a linear matrix inequality.

J. William Helton, Igor Klep, Scott A. McCullough

Math. Program., 2013

The tracial moment problem and trace-optimization of polynomials.

Sabine Burgdorf, Kristijan Cafuta, Igor Klep, Janez Povh

Math. Program., 2013

An Exact Duality Theory for Semidefinite Programming Based on Sums of Squares.

Igor Klep, Markus Schweighofer

Math. Oper. Res., 2013

Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials.

Sabine Burgdorf, Kristijan Cafuta, Igor Klep, Janez Povh

Comput. Optim. Appl., 2013

2012

Constrained Polynomial Optimization Problems with Noncommuting Variables.

Kristijan Cafuta, Igor Klep, Janez Povh

SIAM J. Optim., 2012

2011

NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials.

Kristijan Cafuta, Igor Klep, Janez Povh

Optim. Methods Softw., 2011

2010

Relaxing LMI domination matricially.

J. William Helton, Igor Klep, Scott A. McCullough

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009

Determinant Expansions of Signed Matrices and of Certain Jacobians.

J. William Helton, Igor Klep, Raul Gomez

SIAM J. Matrix Anal. Appl., 2009