# zbMATH — the first resource for mathematics

## de Klerk, Etienne

Compute Distance To:
 Author ID: de-klerk.etienne Published as: De Klerk, E.; De Klerk, Etienne; de Klerk, E.; de Klerk, Etienne External Links: MGP
 Documents Indexed: 76 Publications since 1994, including 2 Books
all top 5

#### Co-Authors

 4 single-authored 17 Pasechnik, Dmitrii V. 14 Roos, Cornelis 13 Laurent, Monique 13 Terlaky, Tamás 11 Sotirov, Renata 5 Sun, Zhao 4 Warners, Joost P. 3 den Hertog, Dick 3 Dobre, Cristian 3 E.-Nagy, Marianna 3 Salazar, Gelasio 3 van Maaren, Hans 2 Bomze, Immanuel M. 2 Dahl, Joachim 2 Glineur, François 2 Halická, Margaréta 2 Marandi, Ahmadreza 2 Parrilo, Pablo A. 2 Quist, Arie J. 2 Roos, Kees 2 Taylor, Adrien B. 2 Truetsch, Uwe 1 Ahmadi, Amir Ali 1 Anjos, Miguel F. 1 Bai, Yanqin 1 de Jong, Aise Johan 1 Dür, Mirjam 1 Elabwabi, G. 1 Filho, Fernando M. De Oliveira 1 Hall, Georgina 1 He, Baihua 1 Heß, Roxana 1 Hoogenboom, J. Eduard 1 Illés, Tibor 1 Ivanov, I. D. 1 Jibetean, Dorina 1 Kuhn, Daniel 1 Lasserre, Jean-Bernard 1 Maharry, John 1 Newman, Michael William 1 Peng, Jiming 1 Postek, Krzysztof 1 Rendl, Franz 1 Richter, Robert Bruce 1 Schrijver, Alexander 1 Siem, Alex Y. D. 1 Snyman, Johannes Arnoldus 1 Valkó, J. 1 Vallentin, Frank 1 Vera, Juan-Carlos
all top 5

#### Serials

 13 SIAM Journal on Optimization 11 Mathematical Programming. Series A. Series B 6 Optimization Methods & Software 5 European Journal of Operational Research 3 Discrete Applied Mathematics 3 Mathematics of Operations Research 3 Annals of Operations Research 3 Journal of Global Optimization 2 European Journal of Combinatorics 2 SIAM Journal on Discrete Mathematics 2 Journal of Combinatorial Optimization 2 Optimization Letters 1 Computers & Mathematics with Applications 1 Statistica Neerlandica 1 Theoretical Computer Science 1 Operations Research Letters 1 Applied Numerical Mathematics 1 Journal of Automated Reasoning 1 Annals of Mathematics and Artificial Intelligence 1 INFORMS Journal on Computing 1 CEJOR. Central European Journal of Operations Research 1 Optimization and Engineering 1 Structural and Multidisciplinary Optimization 1 Applied Optimization
all top 5

#### Fields

 73 Operations research, mathematical programming (90-XX) 10 Computer science (68-XX) 9 Combinatorics (05-XX) 4 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

66 Publications have been cited 948 times in 552 Documents Cited by Year
Approximation of the stability number of a graph via copositive programming. Zbl 1035.90058
de Klerk, E.; Pasechnik, D. V.
2002
Aspects of semidefinite programming. Interior point algorithms and selected applications. Zbl 0991.90098
De Klerk, Etienne
2002
Solving standard quadratic optimization problems via linear, semidefinite and copositive programming. Zbl 1047.90038
Bomze, Immanuel M.; De Klerk, Etienne
2002
On copositive programming and standard quadratic optimization problems. Zbl 0970.90057
Bomze, Immanuel M.; Dür, Mirjam; de Klerk, Etienne; Roos, Cornelis; Quist, Arie J.; Terlaky, Tamás
2000
Reduction of symmetric semidefinite programs using the regular $$\ast$$-representation. Zbl 1200.90136
de Klerk, Etienne; Pasechnik, Dmitrii V.; Schrijver, Alexander
2007
A PTAS for the minimization of polynomials of fixed degree over the simplex. Zbl 1115.90042
De Klerk, Etienne; Laurent, Monique; Parrilo, Pablo A.
2006
Exploiting group symmetry in semidefinite programming relaxations of the quadratic assignment problem. Zbl 1184.90120
de Klerk, Etienne; Sotirov, Renata
2010
On the convergence of the central path in semidefinite optimization. Zbl 1035.90100
Halická, M.; de Klerk, E.; Roos, C.
2002
The complexity of optimizing over a simplex, hypercube or sphere: a short survey. Zbl 1152.90607
De Klerk, Etienne
2008
Initialization in semidefinite programming via a self-dual skew-symmetric embedding. Zbl 0881.90096
de Klerk, E.; Roos, C.; Terlaky, T.
1997
On semidefinite programming relaxations of the traveling salesman problem. Zbl 1196.90094
de Klerk, Etienne; Pasechnik, Dmitrii V.; Sotirov, Renata
2008
Improved bounds for the crossing numbers of $$K_{m,n}$$ and $$K_{n}$$. Zbl 1111.05029
de Klerk, E.; Maharry, J.; Pasechnik, D. V.; Richter, R. B.; Salazar, G.
2006
On approximate graph colouring and MAX-$$k$$-CUT algorithms based on the $$\vartheta$$-function. Zbl 1084.68142
de Klerk, E.; Pasechnik, D. V.; Warners, J. P.
2004
Copositive relaxation for general quadratic programming. Zbl 0904.90126
Quist, A. J.; de Klerk, E.; Roos, C.; Terlaky, T.
1998
Exploiting group symmetry in truss topology optimization. Zbl 1400.90242
Bai, Yanqin; de Klerk, Etienne; Pasechnik, Dmitrii; Sotirov, Renata
2009
Global optimization of rational functions: a semidefinite programming approach. Zbl 1134.90460
Jibetean, D.; de Klerk, E.
2006
Infeasible-start semidefinite programming algorithms via self-dual embeddings. Zbl 0905.90155
de Klerk, E.; Roos, C.; Terlaky, T.
1998
Error bounds for some semidefinite programming approaches to polynomial minimization on the hypercube. Zbl 1229.90279
De Klerk, Etienne; Laurent, Monique
2010
Exploiting special structure in semidefinite programming: a survey of theory and applications. Zbl 1177.90315
de Klerk, Etienne
2010
On the Lasserre hierarchy of semidefinite programming relaxations of convex polynomial optimization problems. Zbl 1230.90199
De Klerk, Etienne; Laurent, Monique
2011
Numerical block diagonalization of matrix $$\ast$$-algebras with application to semidefinite programming. Zbl 1225.90098
de Klerk, Etienne; Dobre, Cristian; Ṗasechnik, Dmitrii V.
2011
Improved semidefinite programming bounds for quadratic assignment problems with suitable symmetry. Zbl 1270.90045
de Klerk, Etienne; Sotirov, Renata
2012
A linear programming reformulation of the standard quadratic optimization problem. Zbl 1127.90051
de Klerk, E.; Pasechnik, D. V.
2007
Bound-constrained polynomial optimization using only elementary calculations. Zbl 1371.90099
de Klerk, Etienne; Lasserre, Jean B.; Laurent, Monique; Sun, Zhao
2017
Relaxations of combinatorial problems via association schemes. Zbl 1334.90100
De Klerk, Etienne; Filho, Fernando M. De Oliveira; Pasechnik, Dmitrii V.
2012
A note on the stability number of an orthogonality graph. Zbl 1125.05053
de Klerk, E.; Pasechnik, D. V.
2007
On the equivalence of algebraic approaches to the minimization of forms on the simplex. Zbl 1138.90439
de Klerk, Etienne; Laurent, Monique; Parillo, Pablo
2005
Self-dual embeddings. Zbl 0957.90526
de Klerk, Etienne; Terlaky, Tamás; Roos, Kees
2000
Relaxations of the satisfiability problem using semidefinite programming. Zbl 0965.03017
de Klerk, Etienne; van Maaren, Hans; Warners, Joost P.
2000
Convergence analysis for Lasserre’s measure-based hierarchy of upper bounds for polynomial optimization. Zbl 1358.90092
de Klerk, Etienne; Laurent, Monique; Sun, Zhao
2017
An alternative proof of a PTAS for fixed-degree polynomial optimization over the simplex. Zbl 1328.90146
de Klerk, Etienne; Laurent, Monique; Sun, Zhao
2015
On semidefinite programming relaxations of maximum $$k$$-section. Zbl 1263.90056
de Klerk, Etienne; Pasechnik, Dmitrii; Sotirov, Renata; Dobre, Cristian
2012
On the complexity of optimization over the standard simplex. Zbl 1156.90009
de Klerk, E.; den Hertog, D.; Elabwabi, G.
2008
Limiting behavior of the central path in semidefinite optimization. Zbl 1087.90057
Halická, M.; De Klerk, E.; Roos, C.
2005
On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions. Zbl 1381.90067
de Klerk, Etienne; Glineur, François; Taylor, Adrien B.
2017
Improved convergence rates for Lasserre-type hierarchies of upper bounds for box-constrained polynomial optimization. Zbl 1357.90177
de Klerk, Etienne; Hess, Roxana; Laurent, Monique
2017
An error analysis for polynomial optimization over the simplex based on the multivariate hypergeometric distribution. Zbl 1333.90104
de Klerk, Etienne; Laurent, Monique; Sun, Zhao
2015
Semidefinite programming approaches for MAX-2-SAT and MAX-3-SAT: Computational perspectives. Zbl 1029.90053
de Klerk, E.; Warners, J. P.
2002
A numerical evaluation of the bounded degree sum-of-squares hierarchy of Lasserre, Toh, and Yang on the pooling problem. Zbl 1422.90039
Marandi, Ahmadreza; Dahl, Joachim; de Klerk, Etienne
2018
Improved lower bounds for the 2-page crossing numbers of $$K_{m,n}$$ and $$K_n$$ via semidefinite programming. Zbl 1253.90183
de Klerk, E.; Pasechnik, D. V.
2012
A comparison of lower bounds for the symmetric circulant traveling salesman problem. Zbl 1228.90103
de Klerk, Etienne; Dobre, Cristian
2011
On semidefinite programming relaxations of $$(2+p)$$-SAT. Zbl 1050.68050
de Klerk, E.; van Maaren, H.
2003
Distributionally robust optimization with polynomial densities: theory, models and algorithms. Zbl 07212155
de Klerk, Etienne; Kuhn, Daniel; Postek, Krzysztof
2020
Comparison of Lasserre’s measure-based bounds for polynomial optimization to bounds obtained by simulated annealing. Zbl 1440.90044
de Klerk, Etienne; Laurent, Monique
2018
A new semidefinite programming relaxation for the quadratic assignment problem and its computational perspectives. Zbl 1329.90081
de Klerk, E.; Sotirov, R.; Truetsch, U.
2015
Improved lower bounds on book crossing numbers of complete graphs. Zbl 1273.90145
De Klerk, E.; Pasechnik, D. V.; Salazar, G.
2013
On the complexity of computing the handicap of a sufficient matrix. Zbl 1226.90121
de Klerk, Etienne; E.-Nagy, Marianna
2011
A new library of structured semidefinite programming instances. Zbl 1237.90233
de Klerk, Etienne; Sotirov, Renata
2009
On the Lovász $$\vartheta$$-number of almost regular graphs with application to Erdős-Rényi graphs. Zbl 1200.05163
de Klerk, E.; Newman, M. W.; Pasechnik, D. V.; Sotirov, R.
2009
Relaxations of the satisfiability problem using semidefinite programming. Zbl 0979.68050
de Klerk, Etienne; van Maaren, Hans; Warners, Joost P.
2000
Polynomial primal-dual affine scaling algorithms in semidefinite programming. Zbl 0911.90252
de Klerk, E.; Roos, C.; Terlaky, T.
1998
Symmetry in RLT-type relaxations for the quadratic assignment and standard quadratic optimization problems. Zbl 1339.90203
de Klerk, Etienne; E.-Nagy, Marianna.; Sotirov, Renata; Truetsch, Uwe
2014
Book drawings of complete bipartite graphs. Zbl 1284.05178
de Klerk, Etienne; Pasechnik, Dmitrii V.; Salazar, Gelasio
2014
Products of positive forms, linear matrix inequalities, and Hilbert 17th problem for ternary forms. Zbl 1106.90058
de Klerk, Etienne; Pasechnik, Dmitrii V.
2004
On convex quadratic approximation. Zbl 1090.90509
den Hertog, Dick; de Klerk, Etienne; Roos, Kees
2002
A scaled Gauss–Newton primal-dual search direction for semidefinite optimization. Zbl 1001.65060
de Klerk, E.; Peng, J.; Roos, C.; Terlaky, T.
2001
Worst-case examples for Lasserre’s measure-based hierarchy for polynomial optimization on the hypercube. Zbl 1442.90141
de Klerk, Etienne; Laurent, Monique
2020
On the convergence rate of grid search for polynomial optimization over the simplex. Zbl 1394.90473
de Klerk, Etienne; Laurent, Monique; Sun, Zhao; Vera, Juan C.
2017
On the Turing model complexity of interior point methods for semidefinite programming. Zbl 1346.90661
de Klerk, Etienne; Vallentin, Frank
2016
On semidefinite programming bounds for graph bandwidth. Zbl 1273.90151
de Klerk, Etienne; -Nagy, Marianna E.; Sotirov, Renata
2013
Parallel implementation of a semidefinite programming solver based on CSDP on a distributed memory cluster. Zbl 1189.90115
Ivanov, I. D.; de Klerk, E.
2010
On primal-dual path-following algorithms for semidefinite programming. Zbl 0911.90321
de Klerk, E.; Roos, C.; Terlaky, T.
1998
de Klerk, E.; Roos, C.; Terlaky, T.; Illés, T.; de Jong, A. J.; Valkó, J.; Hoogenboom, J. E.
1997
Solving sparse polynomial optimization problems with chordal structure using the sparse bounded-degree sum-of-squares hierarchy. Zbl 1433.90110
Marandi, Ahmadreza; de Klerk, Etienne; Dahl, Joachim
2020
Method of approximate centers for semi-definite programming. Zbl 0879.90142
He, B.; De Klerk, E.; Roos, C.; Terlaky, T.
1997
A feasible descent cone method for linearly constrained minimization problems. Zbl 0808.90091
de Klerk, E.; Snyman, J. A.
1994
Distributionally robust optimization with polynomial densities: theory, models and algorithms. Zbl 07212155
de Klerk, Etienne; Kuhn, Daniel; Postek, Krzysztof
2020
Worst-case examples for Lasserre’s measure-based hierarchy for polynomial optimization on the hypercube. Zbl 1442.90141
de Klerk, Etienne; Laurent, Monique
2020
Solving sparse polynomial optimization problems with chordal structure using the sparse bounded-degree sum-of-squares hierarchy. Zbl 1433.90110
Marandi, Ahmadreza; de Klerk, Etienne; Dahl, Joachim
2020
A numerical evaluation of the bounded degree sum-of-squares hierarchy of Lasserre, Toh, and Yang on the pooling problem. Zbl 1422.90039
Marandi, Ahmadreza; Dahl, Joachim; de Klerk, Etienne
2018
Comparison of Lasserre’s measure-based bounds for polynomial optimization to bounds obtained by simulated annealing. Zbl 1440.90044
de Klerk, Etienne; Laurent, Monique
2018
Bound-constrained polynomial optimization using only elementary calculations. Zbl 1371.90099
de Klerk, Etienne; Lasserre, Jean B.; Laurent, Monique; Sun, Zhao
2017
Convergence analysis for Lasserre’s measure-based hierarchy of upper bounds for polynomial optimization. Zbl 1358.90092
de Klerk, Etienne; Laurent, Monique; Sun, Zhao
2017
On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions. Zbl 1381.90067
de Klerk, Etienne; Glineur, François; Taylor, Adrien B.
2017
Improved convergence rates for Lasserre-type hierarchies of upper bounds for box-constrained polynomial optimization. Zbl 1357.90177
de Klerk, Etienne; Hess, Roxana; Laurent, Monique
2017
On the convergence rate of grid search for polynomial optimization over the simplex. Zbl 1394.90473
de Klerk, Etienne; Laurent, Monique; Sun, Zhao; Vera, Juan C.
2017
On the Turing model complexity of interior point methods for semidefinite programming. Zbl 1346.90661
de Klerk, Etienne; Vallentin, Frank
2016
An alternative proof of a PTAS for fixed-degree polynomial optimization over the simplex. Zbl 1328.90146
de Klerk, Etienne; Laurent, Monique; Sun, Zhao
2015
An error analysis for polynomial optimization over the simplex based on the multivariate hypergeometric distribution. Zbl 1333.90104
de Klerk, Etienne; Laurent, Monique; Sun, Zhao
2015
A new semidefinite programming relaxation for the quadratic assignment problem and its computational perspectives. Zbl 1329.90081
de Klerk, E.; Sotirov, R.; Truetsch, U.
2015
Symmetry in RLT-type relaxations for the quadratic assignment and standard quadratic optimization problems. Zbl 1339.90203
de Klerk, Etienne; E.-Nagy, Marianna.; Sotirov, Renata; Truetsch, Uwe
2014
Book drawings of complete bipartite graphs. Zbl 1284.05178
de Klerk, Etienne; Pasechnik, Dmitrii V.; Salazar, Gelasio
2014
Improved lower bounds on book crossing numbers of complete graphs. Zbl 1273.90145
De Klerk, E.; Pasechnik, D. V.; Salazar, G.
2013
On semidefinite programming bounds for graph bandwidth. Zbl 1273.90151
de Klerk, Etienne; -Nagy, Marianna E.; Sotirov, Renata
2013
Improved semidefinite programming bounds for quadratic assignment problems with suitable symmetry. Zbl 1270.90045
de Klerk, Etienne; Sotirov, Renata
2012
Relaxations of combinatorial problems via association schemes. Zbl 1334.90100
De Klerk, Etienne; Filho, Fernando M. De Oliveira; Pasechnik, Dmitrii V.
2012
On semidefinite programming relaxations of maximum $$k$$-section. Zbl 1263.90056
de Klerk, Etienne; Pasechnik, Dmitrii; Sotirov, Renata; Dobre, Cristian
2012
Improved lower bounds for the 2-page crossing numbers of $$K_{m,n}$$ and $$K_n$$ via semidefinite programming. Zbl 1253.90183
de Klerk, E.; Pasechnik, D. V.
2012
On the Lasserre hierarchy of semidefinite programming relaxations of convex polynomial optimization problems. Zbl 1230.90199
De Klerk, Etienne; Laurent, Monique
2011
Numerical block diagonalization of matrix $$\ast$$-algebras with application to semidefinite programming. Zbl 1225.90098
de Klerk, Etienne; Dobre, Cristian; Ṗasechnik, Dmitrii V.
2011
A comparison of lower bounds for the symmetric circulant traveling salesman problem. Zbl 1228.90103
de Klerk, Etienne; Dobre, Cristian
2011
On the complexity of computing the handicap of a sufficient matrix. Zbl 1226.90121
de Klerk, Etienne; E.-Nagy, Marianna
2011
Exploiting group symmetry in semidefinite programming relaxations of the quadratic assignment problem. Zbl 1184.90120
de Klerk, Etienne; Sotirov, Renata
2010
Error bounds for some semidefinite programming approaches to polynomial minimization on the hypercube. Zbl 1229.90279
De Klerk, Etienne; Laurent, Monique
2010
Exploiting special structure in semidefinite programming: a survey of theory and applications. Zbl 1177.90315
de Klerk, Etienne
2010
Parallel implementation of a semidefinite programming solver based on CSDP on a distributed memory cluster. Zbl 1189.90115
Ivanov, I. D.; de Klerk, E.
2010
Exploiting group symmetry in truss topology optimization. Zbl 1400.90242
Bai, Yanqin; de Klerk, Etienne; Pasechnik, Dmitrii; Sotirov, Renata
2009
A new library of structured semidefinite programming instances. Zbl 1237.90233
de Klerk, Etienne; Sotirov, Renata
2009
On the Lovász $$\vartheta$$-number of almost regular graphs with application to Erdős-Rényi graphs. Zbl 1200.05163
de Klerk, E.; Newman, M. W.; Pasechnik, D. V.; Sotirov, R.
2009
The complexity of optimizing over a simplex, hypercube or sphere: a short survey. Zbl 1152.90607
De Klerk, Etienne
2008
On semidefinite programming relaxations of the traveling salesman problem. Zbl 1196.90094
de Klerk, Etienne; Pasechnik, Dmitrii V.; Sotirov, Renata
2008
On the complexity of optimization over the standard simplex. Zbl 1156.90009
de Klerk, E.; den Hertog, D.; Elabwabi, G.
2008
Reduction of symmetric semidefinite programs using the regular $$\ast$$-representation. Zbl 1200.90136
de Klerk, Etienne; Pasechnik, Dmitrii V.; Schrijver, Alexander
2007
A linear programming reformulation of the standard quadratic optimization problem. Zbl 1127.90051
de Klerk, E.; Pasechnik, D. V.
2007
A note on the stability number of an orthogonality graph. Zbl 1125.05053
de Klerk, E.; Pasechnik, D. V.
2007
A PTAS for the minimization of polynomials of fixed degree over the simplex. Zbl 1115.90042
De Klerk, Etienne; Laurent, Monique; Parrilo, Pablo A.
2006
Improved bounds for the crossing numbers of $$K_{m,n}$$ and $$K_{n}$$. Zbl 1111.05029
de Klerk, E.; Maharry, J.; Pasechnik, D. V.; Richter, R. B.; Salazar, G.
2006
Global optimization of rational functions: a semidefinite programming approach. Zbl 1134.90460
Jibetean, D.; de Klerk, E.
2006
On the equivalence of algebraic approaches to the minimization of forms on the simplex. Zbl 1138.90439
de Klerk, Etienne; Laurent, Monique; Parillo, Pablo
2005
Limiting behavior of the central path in semidefinite optimization. Zbl 1087.90057
Halická, M.; De Klerk, E.; Roos, C.
2005
On approximate graph colouring and MAX-$$k$$-CUT algorithms based on the $$\vartheta$$-function. Zbl 1084.68142
de Klerk, E.; Pasechnik, D. V.; Warners, J. P.
2004
Products of positive forms, linear matrix inequalities, and Hilbert 17th problem for ternary forms. Zbl 1106.90058
de Klerk, Etienne; Pasechnik, Dmitrii V.
2004
On semidefinite programming relaxations of $$(2+p)$$-SAT. Zbl 1050.68050
de Klerk, E.; van Maaren, H.
2003
Approximation of the stability number of a graph via copositive programming. Zbl 1035.90058
de Klerk, E.; Pasechnik, D. V.
2002
Aspects of semidefinite programming. Interior point algorithms and selected applications. Zbl 0991.90098
De Klerk, Etienne
2002
Solving standard quadratic optimization problems via linear, semidefinite and copositive programming. Zbl 1047.90038
Bomze, Immanuel M.; De Klerk, Etienne
2002
On the convergence of the central path in semidefinite optimization. Zbl 1035.90100
Halická, M.; de Klerk, E.; Roos, C.
2002
Semidefinite programming approaches for MAX-2-SAT and MAX-3-SAT: Computational perspectives. Zbl 1029.90053
de Klerk, E.; Warners, J. P.
2002
On convex quadratic approximation. Zbl 1090.90509
den Hertog, Dick; de Klerk, Etienne; Roos, Kees
2002
A scaled Gauss–Newton primal-dual search direction for semidefinite optimization. Zbl 1001.65060
de Klerk, E.; Peng, J.; Roos, C.; Terlaky, T.
2001
On copositive programming and standard quadratic optimization problems. Zbl 0970.90057
Bomze, Immanuel M.; Dür, Mirjam; de Klerk, Etienne; Roos, Cornelis; Quist, Arie J.; Terlaky, Tamás
2000
Self-dual embeddings. Zbl 0957.90526
de Klerk, Etienne; Terlaky, Tamás; Roos, Kees
2000
Relaxations of the satisfiability problem using semidefinite programming. Zbl 0965.03017
de Klerk, Etienne; van Maaren, Hans; Warners, Joost P.
2000
Relaxations of the satisfiability problem using semidefinite programming. Zbl 0979.68050
de Klerk, Etienne; van Maaren, Hans; Warners, Joost P.
2000
Copositive relaxation for general quadratic programming. Zbl 0904.90126
Quist, A. J.; de Klerk, E.; Roos, C.; Terlaky, T.
1998
Infeasible-start semidefinite programming algorithms via self-dual embeddings. Zbl 0905.90155
de Klerk, E.; Roos, C.; Terlaky, T.
1998
Polynomial primal-dual affine scaling algorithms in semidefinite programming. Zbl 0911.90252
de Klerk, E.; Roos, C.; Terlaky, T.
1998
On primal-dual path-following algorithms for semidefinite programming. Zbl 0911.90321
de Klerk, E.; Roos, C.; Terlaky, T.
1998
Initialization in semidefinite programming via a self-dual skew-symmetric embedding. Zbl 0881.90096
de Klerk, E.; Roos, C.; Terlaky, T.
1997
de Klerk, E.; Roos, C.; Terlaky, T.; Illés, T.; de Jong, A. J.; Valkó, J.; Hoogenboom, J. E.
1997
Method of approximate centers for semi-definite programming. Zbl 0879.90142
He, B.; De Klerk, E.; Roos, C.; Terlaky, T.
1997
A feasible descent cone method for linearly constrained minimization problems. Zbl 0808.90091
de Klerk, E.; Snyman, J. A.
1994
all top 5

#### Cited by 754 Authors

 36 de Klerk, Etienne 19 Bomze, Immanuel M. 19 Laurent, Monique 16 Anjos, Miguel F. 15 Lasserre, Jean-Bernard 15 Sotirov, Renata 13 Povh, Janez 11 Locatelli, Marco 11 Pasechnik, Dmitrii V. 11 Wang, Guoqiang 10 Bai, Yanqin 10 Burer, Samuel 10 Dür, Mirjam 10 Kheirfam, Behrouz 9 Nie, Jiawang 9 Terlaky, Tamás 8 Dickinson, Peter J. C. 8 Klep, Igor 7 Kim, Sunyoung 7 Kojima, Masakazu 7 Rendl, Franz 7 Wolkowicz, Henry 7 Zhang, Shuzhong 6 Jeyakumar, Vaithilingam 6 Li, Guoyin 6 Parrilo, Pablo A. 6 Salazar, Gelasio 6 Sun, Zhao 6 Toh, Kim-Chuan 6 Tunçel, Levent 6 Vera, Juan-Carlos 5 Ahmadi, Amir Ali 5 Anstreicher, Kurt M. 5 Darvay, Zsolt 5 Dobre, Cristian 5 Fan, Jinyan 5 Henrion, Didier 5 Roos, Cornelis 5 Zhou, Anwa 4 Ábrego, Bernardo Manuel 4 Cafuta, Kristijan 4 Engau, Alexander 4 Fernández-Merchant, Silvia 4 Ghaddar, Bissan 4 Li, Duan 4 Liu, Hongwei 4 Peng, Jiming 4 Vallentin, Frank 4 Vianello, Marco 4 Williamson, David P. 4 Zuluaga, Luis Fernando 3 Ahmed, Faizan 3 Balogh, József 3 Casado, Leocadio G. 3 Del Pia, Alberto 3 den Hertog, Dick 3 Deng, Zhibin 3 Dong, Hongbo 3 Dukanovic, Igor 3 Eichfelder, Gabriele 3 Ferreira, Orizon Pereira 3 Frommlet, Florian 3 García, Inmaculada F. 3 Gutekunst, Samuel C. 3 Hall, Georgina 3 Hanasusanto, Grani A. 3 He, Simai 3 Hendrix, Eligius M. T. 3 Jarre, Florian 3 Jin, Qingwei 3 Júdice, Joaquim João 3 Kostyukova, Olga Ivanova 3 Lee, Gue Myung 3 Li, Zhening 3 Luz, Carlos J. 3 Mutzel, Petra 3 Natarajan, Karthik 3 Nezhad, Ali Mohammad 3 Permenter, Frank 3 Piazzon, Federico 3 Pirhaji, Mohammad 3 Potra, Florian-Alexandru 3 Qi, Liqun 3 Rigó, Petra Renáta 3 Rostalski, Philipp 3 Schachinger, Werner 3 Still, Georg J. 3 Sturm, Jos F. 3 Sun, Xiaoling 3 Tarbouriech, Sophie 3 Tardella, Fabio 3 Taylor, Adrien B. 3 Tchemisova, Tatiana V. 3 Teo, Chungpiaw 3 Toh, Kimchuan 3 Vannelli, Anthony 3 Witzel, Julia 3 Yang, Ximei 3 Yildirim, Emre Alper 3 Zhang, Mingwang ...and 654 more Authors
all top 5

#### Cited in 117 Serials

 77 Mathematical Programming. Series A. Series B 38 Journal of Global Optimization 31 SIAM Journal on Optimization 26 Journal of Optimization Theory and Applications 24 Computational Optimization and Applications 24 Optimization Letters 21 European Journal of Operational Research 21 Linear Algebra and its Applications 15 Optimization Methods & Software 13 Discrete Applied Mathematics 13 Optimization 12 Operations Research Letters 8 Annals of Operations Research 8 Mathematical Programming Computation 7 Applied Mathematics and Computation 6 RAIRO. Operations Research 5 Discrete Mathematics 5 Mathematics of Operations Research 5 Discrete & Computational Geometry 5 SIAM Journal on Discrete Mathematics 5 Discrete Optimization 4 Journal of Pure and Applied Algebra 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Operations Research 4 Theoretical Computer Science 4 European Journal of Combinatorics 4 Journal of Symbolic Computation 4 Numerical Algorithms 4 INFORMS Journal on Computing 4 Mathematical Methods of Operations Research 4 CEJOR. Central European Journal of Operations Research 4 Structural and Multidisciplinary Optimization 3 Journal of Mathematical Analysis and Applications 3 Automatica 3 Applied Numerical Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Combinatorial Optimization 3 Foundations of Computational Mathematics 3 Asian-European Journal of Mathematics 3 EURO Journal on Computational Optimization 2 Communications in Mathematical Physics 2 Periodica Mathematica Hungarica 2 Mathematics of Computation 2 Journal of Combinatorial Theory. Series A 2 Journal of Functional Analysis 2 Journal of Graph Theory 2 Kybernetika 2 Graphs and Combinatorics 2 Algorithmica 2 Computers & Operations Research 2 SIAM Journal on Matrix Analysis and Applications 2 Cybernetics and Systems Analysis 2 Journal of Algebraic Combinatorics 2 Journal of Applied Mathematics and Computing 2 Science China. Mathematics 2 Numerical Algebra, Control and Optimization 1 Computers & Mathematics with Applications 1 International Journal of Control 1 International Journal of Systems Science 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Applied Mathematics and Optimization 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Computer and System Sciences 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Zeitschrift für Analysis und ihre Anwendungen 1 Circuits, Systems, and Signal Processing 1 Journal of Complexity 1 Journal of Automated Reasoning 1 Asia-Pacific Journal of Operational Research 1 Journal of Scientific Computing 1 Computational Geometry 1 Automation and Remote Control 1 International Journal of Computer Mathematics 1 International Journal of Robust and Nonlinear Control 1 The Australasian Journal of Combinatorics 1 Combinatorics, Probability and Computing 1 Numerical Linear Algebra with Applications 1 International Journal of Computer Vision 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Top 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Heuristics 1 European Journal of Control 1 Journal of Vibration and Control 1 Positivity 1 Journal of Graph Algorithms and Applications 1 Journal of Shanghai University 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series ...and 17 more Serials
all top 5

#### Cited in 41 Fields

 463 Operations research, mathematical programming (90-XX) 70 Combinatorics (05-XX) 65 Numerical analysis (65-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 42 Computer science (68-XX) 25 Algebraic geometry (14-XX) 19 Convex and discrete geometry (52-XX) 18 Commutative algebra (13-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Systems theory; control (93-XX) 13 Field theory and polynomials (12-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Integral transforms, operational calculus (44-XX) 7 Operator theory (47-XX) 7 Mechanics of deformable solids (74-XX) 7 Quantum theory (81-XX) 6 Number theory (11-XX) 6 Probability theory and stochastic processes (60-XX) 5 Functional analysis (46-XX) 4 Mathematical logic and foundations (03-XX) 4 Group theory and generalizations (20-XX) 4 Approximations and expansions (41-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 General algebraic systems (08-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)