Igor Klep

According to our database1, Igor Klep authored at least 16 papers between 2009 and 2022.

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Bibliography

2022
Sparse noncommutative polynomial optimization.
Math. Program., 2022

2021
Noncommutative Polynomials Describing Convex Sets.
Found. Comput. Math., 2021

2020
A Matrix Positivstellensatz with Lifting Polynomials.
SIAM J. Optim., 2020

2018
Minimizer Extraction in Polynomial Optimization Is Robust.
SIAM J. Optim., 2018

2017
Regular and positive noncommutative rational functions.
J. Lond. Math. Soc., 2017

2016
Constrained trace-optimization of polynomials in freely noncommuting variables.
J. Glob. Optim., 2016

Sweeping words and the length of a generic vector subspace of M<sub>n</sub>(F).
J. Comb. Theory, Ser. A, 2016

2015
Rational sums of hermitian squares of free noncommutative polynomials.
Ars Math. Contemp., 2015

2013
The matricial relaxation of a linear matrix inequality.
Math. Program., 2013

The tracial moment problem and trace-optimization of polynomials.
Math. Program., 2013

An Exact Duality Theory for Semidefinite Programming Based on Sums of Squares.
Math. Oper. Res., 2013

Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials.
Comput. Optim. Appl., 2013

2012
Constrained Polynomial Optimization Problems with Noncommuting Variables.
SIAM J. Optim., 2012

2011
NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials.
Optim. Methods Softw., 2011

2010
Relaxing LMI domination matricially.
Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009
Determinant Expansions of Signed Matrices and of Certain Jacobians.
SIAM J. Matrix Anal. Appl., 2009


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