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Klep, Igor

Co-Author Distance
Author ID: klep.igor Recent zbMATH articles by "Klep, Igor"
Published as: Klep, Igor
Homepage: https://www.fmf.uni-lj.si/~klep/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
Documents Indexed: 108 Publications since 2002, including 2 Books and 10 Additional arXiv Preprints
Reviewing Activity: 47 Reviews
Co-Authors: 48 Co-Authors with 99 Joint Publications
832 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
27 Helton, John William
23 McCullough, Scott A.
21 Volčič, Jurij
16 Povh, Janez
9 Cafuta, Kristijan
8 Schweighofer, Markus
6 Burgdorf, Sabine
5 Brešar, Matej
5 Magron, Victor
5 Pascoe, James Eldred
4 Moravec, Primož
4 Špenko, Špela
4 Velušček, Dejan
3 Dykema, Kenneth J.
3 Evert, Eric
3 Nelson, Christopher S.
3 Vinnikov, Victor L.
3 Zalar, Aljaž
2 Augat, Meric L.
2 Cimprič, Jaka
2 Epperly, Aidan
2 Jury, Michael T.
2 Mancuso, Mark E.
2 Nie, Jiawang
2 Šivic, Klemen
2 Štrekelj, Tea
2 Tressl, Marcus
2 Watts, Adam Bene
1 Bhardwaj, Abhishek
1 Chowdhury, Anirban Roy
1 Christie, Louis G.
1 Derksen, Harm
1 Dolžan, David
1 Dym, Harry
1 Gomez, Raul
1 Hanselka, Christoph
1 Hrga, Timotej
1 Hu, Xiaomeng
1 Imrich, Wilfried
1 Katsnelson, Vitaly
1 Makam, Visu
1 Podlogar, Gregor
1 Scheiderer, Claus
1 Slinglend, Nick
1 Smertnig, Daniel
1 Unger, Thomas P.
1 Wang, Jie
1 Wiegele, Angelika
all top 5

Serials

5 Advances in Mathematics
5 Journal of Algebra
5 Journal of Functional Analysis
4 Journal of Mathematical Analysis and Applications
4 Journal of Pure and Applied Algebra
4 Mathematical Programming. Series A. Series B
4 SIAM Journal on Optimization
3 Algebras and Representation Theory
2 Communications in Algebra
2 Israel Journal of Mathematics
2 Obzornik za Matematiko in Fiziko
2 Mathematische Annalen
2 Transactions of the American Mathematical Society
2 IMRN. International Mathematics Research Notices
2 The Journal of Geometric Analysis
2 Linear Algebra and its Applications
2 Annales Henri Poincaré
2 Croatian Operational Research Review (CRORR)
1 Communications in Mathematical Physics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Algebra Universalis
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Indiana University Mathematics Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of the London Mathematical Society. Second Series
1 Manuscripta Mathematica
1 Mathematics of Operations Research
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Semigroup Forum
1 Journal of Operator Theory
1 Revista Matemática Iberoamericana
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Global Optimization
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Optimization and Applications
1 Algebra Colloquium
1 Mathematical Research Letters
1 Documenta Mathematica
1 Journal of Mathematical Chemistry
1 Optimization Methods & Software
1 Journal of the European Mathematical Society (JEMS)
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Ars Mathematica Contemporanea
1 SIAM Journal on Applied Algebra and Geometry
1 SpringerBriefs in Mathematics
all top 5

Fields

47 Commutative algebra (13-XX)
42 Associative rings and algebras (16-XX)
36 Algebraic geometry (14-XX)
36 Operator theory (47-XX)
34 Operations research, mathematical programming (90-XX)
31 Functional analysis (46-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
13 Number theory (11-XX)
12 Convex and discrete geometry (52-XX)
10 Field theory and polynomials (12-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
8 General algebraic systems (08-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Group theory and generalizations (20-XX)
6 Quantum theory (81-XX)
4 Combinatorics (05-XX)
4 Real functions (26-XX)
3 Integral transforms, operational calculus (44-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

80 Publications have been cited 790 times in 345 Documents Cited by ▼ Year ▼
The matricial relaxation of a linear matrix inequality. Zbl 1272.15012
Helton, J. William; Klep, Igor; McCullough, Scott
51
2013
Connes’ embedding conjecture and sums of Hermitian squares. Zbl 1184.46055
Klep, Igor; Schweighofer, Markus
44
2008
Proper analytic free maps. Zbl 1215.47011
Helton, J. William; Klep, Igor; McCullough, Scott
39
2011
Optimization of polynomials in non-commuting variables. Zbl 1388.90001
Burgdorf, Sabine; Klep, Igor; Povh, Janez
30
2016
The convex Positivstellensatz in a free algebra. Zbl 1260.14071
Helton, J. William; Klep, Igor; McCullough, Scott
29
2012
An exact duality theory for semidefinite programming based on sums of squares. Zbl 1309.13031
Klep, Igor; Schweighofer, Markus
28
2013
The tracial Hahn-Banach theorem, polar duals, matrix convex sets, and projections of free spectrahedra. Zbl 1457.14123
Helton, J. William; Klep, Igor; McCullough, Scott
26
2017
Noncommutative ball maps. Zbl 1179.47012
Helton, J. William; Klep, Igor; McCullough, Scott; Slinglend, Nick
24
2009
The truncated tracial moment problem. Zbl 1260.47016
Burgdorf, Sabine; Klep, Igor
22
2012
Sums of Hermitian squares and the BMV conjecture. Zbl 1158.15018
Klep, Igor; Schweighofer, Markus
22
2008
Analytic mappings between noncommutative pencil balls. Zbl 1210.47039
Helton, J. William; Klep, Igor; McCullough, Scott
21
2011
Dilations, linear matrix inequalities, the matrix cube problem and beta distributions. Zbl 1447.47009
Helton, J. William; Klep, Igor; McCullough, Scott; Schweighofer, Markus
20
2019
The tracial moment problem and trace-optimization of polynomials. Zbl 1274.90256
Burgdorf, Sabine; Cafuta, Kristijan; Klep, Igor; Povh, Janez
20
2013
NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials. Zbl 1226.90063
Cafuta, Kristijan; Klep, Igor; Povh, Janez
19
2011
Extreme points of matrix convex sets, free spectrahedra, and dilation theory. Zbl 06902272
Evert, Eric; Helton, J. William; Klep, Igor; McCullough, Scott
19
2018
Geometry of free loci and factorization of noncommutative polynomials. Zbl 1420.16015
Helton, J. William; Klep, Igor; Volčič, Jurij
19
2018
Pure states, positive matrix polynomials and sums of Hermitian squares. Zbl 1261.15030
Klep, Igor; Schweighofer, Markus
16
2010
Free loci of matrix pencils and domains of noncommutative rational functions. Zbl 1365.15017
Klep, Igor; Volčič, Jurij
16
2017
Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze. Zbl 1189.16021
Brešar, Matej; Klep, Igor
15
2009
Free function theory through matrix invariants. Zbl 1377.16017
Klep, Igor; Špenko, Špela
15
2017
Free convex algebraic geometry. Zbl 1360.14008
Helton, William; Klep, Igor; McCullough, Scott
15
2013
Matrix convex hulls of free semialgebraic sets. Zbl 1361.46056
Helton, J. William; Klep, Igor; McCullough, Scott
13
2016
Sparse noncommutative polynomial optimization. Zbl 1494.90072
Klep, Igor; Magron, Victor; Povh, Janez
11
2022
Semidefinite programming and sums of Hermitian squares of noncommutative polynomials. Zbl 1246.11092
Klep, Igor; Povh, Janez
11
2010
Free analysis, convexity and LMI domains. Zbl 1280.46043
Helton, J. William; Klep, Igor; McCullough, Scott
10
2012
Constrained trace-optimization of polynomials in freely noncommuting variables. Zbl 1356.90103
Klep, Igor; Povh, Janez
10
2016
Regular and positive noncommutative rational functions. Zbl 1401.16020
Klep, Igor; Pascoe, James Eldred; Volčič, Jurij
10
2017
Noncommutative polynomials nonnegative on a variety intersect a convex set. Zbl 1327.13090
Helton, J. William; Klep, Igor; Nelson, Christopher S.
9
2014
A local-global principle for linear dependence of noncommutative polynomials. Zbl 1293.16021
Brešar, Matej; Klep, Igor
9
2013
Constrained polynomial optimization problems with noncommuting variables. Zbl 1263.90052
Cafuta, Kristijan; Klep, Igor; Povh, Janez
9
2012
A nichtnegativstellensatz for polynomials in noncommuting variables. Zbl 1171.47060
Klep, Igor; Schweighofer, Markus
9
2007
Trace-positive polynomials and the quartic tracial moment problem. Zbl 1205.15047
Burgdorf, Sabine; Klep, Igor
9
2010
Optimization over trace polynomials. Zbl 1483.90106
Klep, Igor; Magron, Victor; Volčič, Jurij
9
2022
There are many more positive maps than completely positive maps. Zbl 1439.13069
Klep, Igor; McCullough, Scott; Šivic, Klemen; Zalar, Aljaž
9
2019
A note on values of noncommutative polynomials. Zbl 1213.47068
Brešar, Matej; Klep, Igor
8
2010
Bianalytic maps between free spectrahedra. Zbl 1471.47045
Augat, Meric; Helton, J. William; Klep, Igor; McCullough, Scott
8
2018
Positive trace polynomials and the universal Procesi-Schacher conjecture. Zbl 1433.16026
Klep, Igor; Špenko, Špela; Volčič, Jurij
8
2018
Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three. Zbl 1361.16012
Dykema, Kenneth J.; Klep, Igor
7
2016
On valuations, places and graded rings associated to *-orderings. Zbl 1161.14040
Klep, Igor
7
2007
Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation. Zbl 1444.32003
Klep, Igor; Vinnikov, Victor; Volčič, Jurij
6
2020
Determinant expansions of signed matrices and of certain Jacobians. Zbl 1191.15023
Helton, J. William; Klep, Igor; Gomez, Raul
6
2009
Lie algebras with abelian centralizers. Zbl 1205.17009
Klep, Igor; Moravec, Primož
5
2010
\(n\)-real valuations and the higher level version of the Krull-Baer theorem. Zbl 1066.16050
Klep, Igor; Velušček, Dejan
5
2004
On real one-sided ideals in a free algebra. Zbl 1283.14025
Cimprič, Jakob; Helton, J. William; Klep, Igor; McCullough, Scott; Nelson, Christopher
5
2014
Noncommutative partial convexity via \(\Gamma\)-convexity. Zbl 1475.46070
Jury, Michael; Klep, Igor; Mancuso, Mark E.; McCullough, Scott; Pascoe, James Eldred
5
2021
Positive univariate trace polynomials. Zbl 1468.13057
Klep, Igor; Pascoe, James Eldred; Volčič, Jurij
5
2021
Circular free spectrahedra. Zbl 1351.15011
Evert, Eric; Helton, J. William; Klep, Igor; McCullough, Scott
5
2017
Rational sums of Hermitian squares of free noncommutative polynomials. Zbl 1386.16026
Cafuta, Kristijan; Klep, Igor; Povh, Janez
4
2015
Bianalytic free maps between spectrahedra and spectraballs. Zbl 1445.47052
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
4
2020
Embedding \(*\)-ordered domains into skew fields. Zbl 1106.16019
Klep, Igor
4
2006
Noncommutative polynomials describing convex sets. Zbl 1471.14120
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
4
2021
Convexity and semidefinite programming in dimension-free matrix unknowns. Zbl 1334.90103
Helton, J. William; Klep, Igor; Mccullough, Scott
3
2012
On \(*\)-orderable groups. Zbl 1107.16029
Klep, Igor; Moravec, Primož
3
2005
Noncommutative rational functions invariant under the action of a finite solvable group. Zbl 1442.13015
Klep, Igor; Pascoe, James Eldred; Podlogar, Gregor; Volčič, Jurij
3
2020
The prime spectrum and the extended prime spectrum of noncommutative rings. Zbl 1127.16001
Klep, Igor; Tressl, Marcus
3
2007
Tracial Nullstellensätze. Zbl 1247.14062
Brešar, Matej; Klep, Igor
3
2011
A note on group representations, determinantal hypersurfaces and their quantizations. Zbl 1540.20018
Klep, Igor; Volčič, Jurij
3
2021
Generalized orderings and rings of fractions. Zbl 1099.06013
Cimprič, Jaka; Klep, Igor
3
2006
The Procesi-Schacher conjecture and Hilbert’s 17th problem for algebras with involution. Zbl 1262.16039
Klep, Igor; Unger, Thomas
3
2010
Noncommutative nullstellensätze and perfect games. Zbl 07698494
Watts, Adam Bene; Helton, J. William; Klep, Igor
3
2023
Dimension-free entanglement detection in multipartite Werner states. Zbl 1509.90141
Huber, Felix; Klep, Igor; Magron, Victor; Volčič, Jurij
3
2022
Minimizer extraction in polynomial optimization is robust. Zbl 1409.90135
Klep, Igor; Povh, Janez; Volčič, Jurij
3
2018
A note on the nonexistence of sum of squares certificates for the Bessis-Moussa-Villani conjecture. Zbl 1312.81139
Cafuta, Kristijan; Klep, Igor; Povh, Janez
2
2010
The noncommutative graded Positivstellensatz. Zbl 1072.16037
Klep, Igor
2
2004
Factorization of noncommutative polynomials and Nullstellensätze for the free algebra. Zbl 1503.14005
Helton, J.; Klep, Igor; Volčič, Jurij
2
2022
Null- and positivstellensätze for rationally resolvable ideals. Zbl 1403.14007
Klep, Igor; Vinnikov, Victor; Volčič, Jurij
2
2017
Skolem-Noether algebras. Zbl 1439.16016
Brešar, Matej; Hanselka, Christoph; Klep, Igor; Volčič, Jurij
2
2018
On trace-convex noncommutative polynomials. Zbl 1338.15019
Klep, Igor; McCullough, Scott A.; Nelson, Christopher S.
1
2016
Addendum to: “Connes’ embedding conjecture and sums of Hermitian squares”. Zbl 1284.46043
Burgdorf, Sabine; Dykema, Ken; Klep, Igor; Schweighofer, Markus
1
2014
Central extensions of \(n\)-ordered division rings. Zbl 1086.06016
Klep, Igor; Velušček, Dejan
1
2005
Finite rings in which commutativity is transitive. Zbl 1218.16009
Dolžan, David; Klep, Igor; Moravec, Primož
1
2011
Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials. Zbl 1273.90144
Burgdorf, Sabine; Cafuta, Kristijan; Klep, Igor; Povh, Janez
1
2013
Noncommutative partially convex rational functions. Zbl 1497.46082
Jury, Michael; Klep, Igor; Mancuso, Mark E.; McCullough, Scott; Pascoe, James Eldred
1
2022
Plurisubharmonic noncommutative rational functions. Zbl 1460.32071
Dym, Harry; Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
1
2020
Central extensions of \(*\)-ordered skew fields. Zbl 1109.06013
Klep, Igor; Velušček, Dejan
1
2006
Embedding ordered valued domains into division rings. Zbl 1160.13020
Klep, Igor
1
2007
Trace-positive polynomials. Zbl 1232.16026
Klep, Igor
1
2011
Sign patterns for chemical reaction networks. Zbl 1197.92061
Helton, J. William; Katsnelson, Vitaly; Klep, Igor
1
2010
Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem. Zbl 1531.13020
Klep, Igor; Scheiderer, Claus; Volčič, Jurij
1
2023
Multipartite rational functions. Zbl 1465.16018
Klep, Igor; Vinnikov, Victor; Volčič, Jurij
1
2020
Noncommutative nullstellensätze and perfect games. Zbl 07698494
Watts, Adam Bene; Helton, J. William; Klep, Igor
3
2023
Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem. Zbl 1531.13020
Klep, Igor; Scheiderer, Claus; Volčič, Jurij
1
2023
Sparse noncommutative polynomial optimization. Zbl 1494.90072
Klep, Igor; Magron, Victor; Povh, Janez
11
2022
Optimization over trace polynomials. Zbl 1483.90106
Klep, Igor; Magron, Victor; Volčič, Jurij
9
2022
Dimension-free entanglement detection in multipartite Werner states. Zbl 1509.90141
Huber, Felix; Klep, Igor; Magron, Victor; Volčič, Jurij
3
2022
Factorization of noncommutative polynomials and Nullstellensätze for the free algebra. Zbl 1503.14005
Helton, J.; Klep, Igor; Volčič, Jurij
2
2022
Noncommutative partially convex rational functions. Zbl 1497.46082
Jury, Michael; Klep, Igor; Mancuso, Mark E.; McCullough, Scott; Pascoe, James Eldred
1
2022
Noncommutative partial convexity via \(\Gamma\)-convexity. Zbl 1475.46070
Jury, Michael; Klep, Igor; Mancuso, Mark E.; McCullough, Scott; Pascoe, James Eldred
5
2021
Positive univariate trace polynomials. Zbl 1468.13057
Klep, Igor; Pascoe, James Eldred; Volčič, Jurij
5
2021
Noncommutative polynomials describing convex sets. Zbl 1471.14120
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
4
2021
A note on group representations, determinantal hypersurfaces and their quantizations. Zbl 1540.20018
Klep, Igor; Volčič, Jurij
3
2021
Local theory of free noncommutative functions: germs, meromorphic functions, and Hermite interpolation. Zbl 1444.32003
Klep, Igor; Vinnikov, Victor; Volčič, Jurij
6
2020
Bianalytic free maps between spectrahedra and spectraballs. Zbl 1445.47052
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
4
2020
Noncommutative rational functions invariant under the action of a finite solvable group. Zbl 1442.13015
Klep, Igor; Pascoe, James Eldred; Podlogar, Gregor; Volčič, Jurij
3
2020
Plurisubharmonic noncommutative rational functions. Zbl 1460.32071
Dym, Harry; Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
1
2020
Multipartite rational functions. Zbl 1465.16018
Klep, Igor; Vinnikov, Victor; Volčič, Jurij
1
2020
Dilations, linear matrix inequalities, the matrix cube problem and beta distributions. Zbl 1447.47009
Helton, J. William; Klep, Igor; McCullough, Scott; Schweighofer, Markus
20
2019
There are many more positive maps than completely positive maps. Zbl 1439.13069
Klep, Igor; McCullough, Scott; Šivic, Klemen; Zalar, Aljaž
9
2019
Extreme points of matrix convex sets, free spectrahedra, and dilation theory. Zbl 06902272
Evert, Eric; Helton, J. William; Klep, Igor; McCullough, Scott
19
2018
Geometry of free loci and factorization of noncommutative polynomials. Zbl 1420.16015
Helton, J. William; Klep, Igor; Volčič, Jurij
19
2018
Bianalytic maps between free spectrahedra. Zbl 1471.47045
Augat, Meric; Helton, J. William; Klep, Igor; McCullough, Scott
8
2018
Positive trace polynomials and the universal Procesi-Schacher conjecture. Zbl 1433.16026
Klep, Igor; Špenko, Špela; Volčič, Jurij
8
2018
Minimizer extraction in polynomial optimization is robust. Zbl 1409.90135
Klep, Igor; Povh, Janez; Volčič, Jurij
3
2018
Skolem-Noether algebras. Zbl 1439.16016
Brešar, Matej; Hanselka, Christoph; Klep, Igor; Volčič, Jurij
2
2018
The tracial Hahn-Banach theorem, polar duals, matrix convex sets, and projections of free spectrahedra. Zbl 1457.14123
Helton, J. William; Klep, Igor; McCullough, Scott
26
2017
Free loci of matrix pencils and domains of noncommutative rational functions. Zbl 1365.15017
Klep, Igor; Volčič, Jurij
16
2017
Free function theory through matrix invariants. Zbl 1377.16017
Klep, Igor; Špenko, Špela
15
2017
Regular and positive noncommutative rational functions. Zbl 1401.16020
Klep, Igor; Pascoe, James Eldred; Volčič, Jurij
10
2017
Circular free spectrahedra. Zbl 1351.15011
Evert, Eric; Helton, J. William; Klep, Igor; McCullough, Scott
5
2017
Null- and positivstellensätze for rationally resolvable ideals. Zbl 1403.14007
Klep, Igor; Vinnikov, Victor; Volčič, Jurij
2
2017
Optimization of polynomials in non-commuting variables. Zbl 1388.90001
Burgdorf, Sabine; Klep, Igor; Povh, Janez
30
2016
Matrix convex hulls of free semialgebraic sets. Zbl 1361.46056
Helton, J. William; Klep, Igor; McCullough, Scott
13
2016
Constrained trace-optimization of polynomials in freely noncommuting variables. Zbl 1356.90103
Klep, Igor; Povh, Janez
10
2016
Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three. Zbl 1361.16012
Dykema, Kenneth J.; Klep, Igor
7
2016
On trace-convex noncommutative polynomials. Zbl 1338.15019
Klep, Igor; McCullough, Scott A.; Nelson, Christopher S.
1
2016
Rational sums of Hermitian squares of free noncommutative polynomials. Zbl 1386.16026
Cafuta, Kristijan; Klep, Igor; Povh, Janez
4
2015
Noncommutative polynomials nonnegative on a variety intersect a convex set. Zbl 1327.13090
Helton, J. William; Klep, Igor; Nelson, Christopher S.
9
2014
On real one-sided ideals in a free algebra. Zbl 1283.14025
Cimprič, Jakob; Helton, J. William; Klep, Igor; McCullough, Scott; Nelson, Christopher
5
2014
Addendum to: “Connes’ embedding conjecture and sums of Hermitian squares”. Zbl 1284.46043
Burgdorf, Sabine; Dykema, Ken; Klep, Igor; Schweighofer, Markus
1
2014
The matricial relaxation of a linear matrix inequality. Zbl 1272.15012
Helton, J. William; Klep, Igor; McCullough, Scott
51
2013
An exact duality theory for semidefinite programming based on sums of squares. Zbl 1309.13031
Klep, Igor; Schweighofer, Markus
28
2013
The tracial moment problem and trace-optimization of polynomials. Zbl 1274.90256
Burgdorf, Sabine; Cafuta, Kristijan; Klep, Igor; Povh, Janez
20
2013
Free convex algebraic geometry. Zbl 1360.14008
Helton, William; Klep, Igor; McCullough, Scott
15
2013
A local-global principle for linear dependence of noncommutative polynomials. Zbl 1293.16021
Brešar, Matej; Klep, Igor
9
2013
Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials. Zbl 1273.90144
Burgdorf, Sabine; Cafuta, Kristijan; Klep, Igor; Povh, Janez
1
2013
The convex Positivstellensatz in a free algebra. Zbl 1260.14071
Helton, J. William; Klep, Igor; McCullough, Scott
29
2012
The truncated tracial moment problem. Zbl 1260.47016
Burgdorf, Sabine; Klep, Igor
22
2012
Free analysis, convexity and LMI domains. Zbl 1280.46043
Helton, J. William; Klep, Igor; McCullough, Scott
10
2012
Constrained polynomial optimization problems with noncommuting variables. Zbl 1263.90052
Cafuta, Kristijan; Klep, Igor; Povh, Janez
9
2012
Convexity and semidefinite programming in dimension-free matrix unknowns. Zbl 1334.90103
Helton, J. William; Klep, Igor; Mccullough, Scott
3
2012
Proper analytic free maps. Zbl 1215.47011
Helton, J. William; Klep, Igor; McCullough, Scott
39
2011
Analytic mappings between noncommutative pencil balls. Zbl 1210.47039
Helton, J. William; Klep, Igor; McCullough, Scott
21
2011
NCSOStools: a computer algebra system for symbolic and numerical computation with noncommutative polynomials. Zbl 1226.90063
Cafuta, Kristijan; Klep, Igor; Povh, Janez
19
2011
Tracial Nullstellensätze. Zbl 1247.14062
Brešar, Matej; Klep, Igor
3
2011
Finite rings in which commutativity is transitive. Zbl 1218.16009
Dolžan, David; Klep, Igor; Moravec, Primož
1
2011
Trace-positive polynomials. Zbl 1232.16026
Klep, Igor
1
2011
Pure states, positive matrix polynomials and sums of Hermitian squares. Zbl 1261.15030
Klep, Igor; Schweighofer, Markus
16
2010
Semidefinite programming and sums of Hermitian squares of noncommutative polynomials. Zbl 1246.11092
Klep, Igor; Povh, Janez
11
2010
Trace-positive polynomials and the quartic tracial moment problem. Zbl 1205.15047
Burgdorf, Sabine; Klep, Igor
9
2010
A note on values of noncommutative polynomials. Zbl 1213.47068
Brešar, Matej; Klep, Igor
8
2010
Lie algebras with abelian centralizers. Zbl 1205.17009
Klep, Igor; Moravec, Primož
5
2010
The Procesi-Schacher conjecture and Hilbert’s 17th problem for algebras with involution. Zbl 1262.16039
Klep, Igor; Unger, Thomas
3
2010
A note on the nonexistence of sum of squares certificates for the Bessis-Moussa-Villani conjecture. Zbl 1312.81139
Cafuta, Kristijan; Klep, Igor; Povh, Janez
2
2010
Sign patterns for chemical reaction networks. Zbl 1197.92061
Helton, J. William; Katsnelson, Vitaly; Klep, Igor
1
2010
Noncommutative ball maps. Zbl 1179.47012
Helton, J. William; Klep, Igor; McCullough, Scott; Slinglend, Nick
24
2009
Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze. Zbl 1189.16021
Brešar, Matej; Klep, Igor
15
2009
Determinant expansions of signed matrices and of certain Jacobians. Zbl 1191.15023
Helton, J. William; Klep, Igor; Gomez, Raul
6
2009
Connes’ embedding conjecture and sums of Hermitian squares. Zbl 1184.46055
Klep, Igor; Schweighofer, Markus
44
2008
Sums of Hermitian squares and the BMV conjecture. Zbl 1158.15018
Klep, Igor; Schweighofer, Markus
22
2008
A nichtnegativstellensatz for polynomials in noncommuting variables. Zbl 1171.47060
Klep, Igor; Schweighofer, Markus
9
2007
On valuations, places and graded rings associated to *-orderings. Zbl 1161.14040
Klep, Igor
7
2007
The prime spectrum and the extended prime spectrum of noncommutative rings. Zbl 1127.16001
Klep, Igor; Tressl, Marcus
3
2007
Embedding ordered valued domains into division rings. Zbl 1160.13020
Klep, Igor
1
2007
Embedding \(*\)-ordered domains into skew fields. Zbl 1106.16019
Klep, Igor
4
2006
Generalized orderings and rings of fractions. Zbl 1099.06013
Cimprič, Jaka; Klep, Igor
3
2006
Central extensions of \(*\)-ordered skew fields. Zbl 1109.06013
Klep, Igor; Velušček, Dejan
1
2006
On \(*\)-orderable groups. Zbl 1107.16029
Klep, Igor; Moravec, Primož
3
2005
Central extensions of \(n\)-ordered division rings. Zbl 1086.06016
Klep, Igor; Velušček, Dejan
1
2005
\(n\)-real valuations and the higher level version of the Krull-Baer theorem. Zbl 1066.16050
Klep, Igor; Velušček, Dejan
5
2004
The noncommutative graded Positivstellensatz. Zbl 1072.16037
Klep, Igor
2
2004
all cited Publications top 5 cited Publications
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Cited by 317 Authors

65 Klep, Igor
27 Helton, John William
24 Volčič, Jurij
23 McCullough, Scott A.
13 Cimprič, Jaka
12 Magron, Victor
12 Vinnikov, Victor L.
11 Pascoe, James Eldred
10 Netzer, Tim
10 Povh, Janez
9 Zalar, Aljaž
8 Agler, Jim
8 Jury, Michael T.
8 McCarthy, John Edward
7 Brešar, Matej
7 Evert, Eric
6 Cafuta, Kristijan
6 Pataki, Gábor
6 Shamovich, Eli
6 Solel, Baruch
6 Wang, Jie
5 Balasubramanian, Sriram
5 Ball, Joseph Anthony
5 Bluhm, Andreas
5 Burgdorf, Sabine
5 Malev, Sergey
5 Nechita, Ion
5 Popescu, Gelu
5 Shalit, Orr Moshe
5 Thom, Andreas Berthold
5 Tully-Doyle, Ryan
4 Augat, Meric L.
4 Henrion, Didier
4 Kanel’-Belov, Alekseĭ Yakovlevich
4 Lasserre, Jean-Bernard
4 Martin, Robert T. W.
4 Muhly, Paul Scott
4 Passer, Benjamin W.
4 Rowen, Louis Halle
4 Schweighofer, Markus
4 ter Horst, Sanne
4 Theobald, Thorsten
4 van der Merwe, Alma
4 Velušček, Dejan
3 Castilho de Mello, Thiago
3 Chacron, Maurice J.
3 Dykema, Kenneth J.
3 Fritz, Tobias
3 Laurent, Monique
3 Lê Công Trình
3 Lee, Tsiu-Kwen
3 Lewkowicz, Izchak
3 Lourenço, Bruno F.
3 Moravec, Primož
3 Nelson, Christopher S.
3 Plosker, Sarah
3 Podlogar, Gregor
3 Popovych, Stanislav V.
3 Špenko, Špela
3 Stessin, Michael I.
3 Unger, Thomas P.
3 Young, Nicholas John
2 Astier, Vincent
2 Bhardwaj, Abhishek
2 Collins, Benoît
2 de Laat, David
2 de Las Cuevas, Gemma
2 Derksen, Harm
2 Dinh Trung Hoa
2 Drescher, Tom
2 Dym, Harry
2 Facchini, Alberto
2 Farenick, Douglas R.
2 Gribling, Sander
2 Kellner, Kai
2 Lawrence, Ben
2 Liu, Minghui
2 Lupini, Martino
2 Makam, Visu
2 Mancuso, Mark E.
2 Marx, Gregory
2 Muramatsu, Masakazu
2 Naldi, Simone
2 Nie, Jiawang
2 Pálfia, Miklós
2 Pandey, Satish K.
2 Parrilo, Pablo A.
2 Pauwels, Edouard Jean Robert
2 Phạm Tiên So’n
2 Porat, Motke
2 Quarez, Ronan
2 Schrempf, Konrad
2 Štrekelj, Tea
2 Tsuchiya, Takashi
2 Woerdeman, Hugo Jan
2 Yavich, Roman
1 Abduvalieva, Gulnara
1 Acin, Antonio
1 Aguilar, Konrad
1 Alekseev, Vadim
...and 217 more Authors
all top 5

Cited in 116 Serials

35 Linear Algebra and its Applications
20 Journal of Functional Analysis
14 Journal of Mathematical Analysis and Applications
13 Advances in Mathematics
12 SIAM Journal on Optimization
11 Proceedings of the American Mathematical Society
10 Journal of Algebra
8 Integral Equations and Operator Theory
8 Transactions of the American Mathematical Society
7 Communications in Algebra
7 Journal of Mathematical Physics
7 Complex Analysis and Operator Theory
6 Israel Journal of Mathematics
6 Linear and Multilinear Algebra
6 Journal of Pure and Applied Algebra
6 Mathematical Programming. Series A. Series B
5 Mathematische Annalen
5 Computational Optimization and Applications
5 Foundations of Computational Mathematics
4 Journal of the London Mathematical Society. Second Series
4 Algebras and Representation Theory
4 Operators and Matrices
4 SIAM Journal on Applied Algebra and Geometry
3 Communications in Mathematical Physics
3 Bulletin of the London Mathematical Society
3 Mathematische Zeitschrift
3 Documenta Mathematica
3 Positivity
3 Annales Henri Poincaré
3 Oberwolfach Reports
2 Journal of Statistical Physics
2 ACM Transactions on Mathematical Software
2 Canadian Journal of Mathematics
2 Journal of Optimization Theory and Applications
2 Monatshefte für Mathematik
2 Theoretical Computer Science
2 The Journal of Geometric Analysis
2 Journal of Global Optimization
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Optimization Methods & Software
2 Advances in Geometry
2 Optimization Letters
2 Journal of Physics A: Mathematical and Theoretical
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Mathematical Biosciences
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Bulletin of Mathematical Biology
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 Algebra Universalis
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Numerical Functional Analysis and Optimization
1 Operations Research
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Semigroup Forum
1 Tôhoku Mathematical Journal. Second Series
1 Systems & Control Letters
1 Journal of Symbolic Computation
1 Journal of Complexity
1 Constructive Approximation
1 Discrete & Computational Geometry
1 Revista Matemática Iberoamericana
1 SIAM Journal on Matrix Analysis and Applications
1 Multidimensional Systems and Signal Processing
1 International Journal of Algebra and Computation
1 Designs, Codes and Cryptography
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 The New York Journal of Mathematics
1 Journal of Lie Theory
1 Journal of Mathematical Chemistry
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 CEJOR. Central European Journal of Operations Research
1 Journal of High Energy Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 SIAM Journal on Applied Dynamical Systems
1 Algebra and Discrete Mathematics
1 Journal of Algebra and its Applications
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Acta Numerica
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Noncommutative Geometry
1 International Electronic Journal of Algebra (IEJA)
...and 16 more Serials
all top 5

Cited in 47 Fields

136 Operator theory (47-XX)
103 Functional analysis (46-XX)
98 Linear and multilinear algebra; matrix theory (15-XX)
87 Associative rings and algebras (16-XX)
78 Operations research, mathematical programming (90-XX)
68 Commutative algebra (13-XX)
64 Algebraic geometry (14-XX)
33 Quantum theory (81-XX)
29 Convex and discrete geometry (52-XX)
25 Number theory (11-XX)
23 Field theory and polynomials (12-XX)
20 Several complex variables and analytic spaces (32-XX)
18 Combinatorics (05-XX)
17 Nonassociative rings and algebras (17-XX)
15 Group theory and generalizations (20-XX)
14 Computer science (68-XX)
13 Numerical analysis (65-XX)
11 General algebraic systems (08-XX)
11 Integral transforms, operational calculus (44-XX)
11 Systems theory; control (93-XX)
10 Real functions (26-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Functions of a complex variable (30-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Approximations and expansions (41-XX)
5 Biology and other natural sciences (92-XX)
4 General and overarching topics; collections (00-XX)
4 Ordinary differential equations (34-XX)
4 Probability theory and stochastic processes (60-XX)
3 Category theory; homological algebra (18-XX)
3 Information and communication theory, circuits (94-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
1 \(K\)-theory (19-XX)
1 Special functions (33-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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