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## Lasserre, Jean-Bernard

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 Author ID: lasserre.jean-bernard Published as: Lassere, Jean-Bernard; Lasserre, J. B.; Lasserre, J.-B.; Lasserre, Jean; Lasserre, Jean B.; Lasserre, Jean Bernard; Lasserre, Jean-Bernard Homepage: http://homepages.laas.fr/lasserre/ External Links: MGP · Wikidata · ResearchGate · GND
 Documents Indexed: 242 Publications since 1980, including 10 Books
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#### Co-Authors

 111 single-authored 26 Hernández-Lerma, Onésimo 21 Henrion, Didier 7 Magron, Victor 7 Zeron, Eduardo Santillan 6 Dauzère-Pérès, Stéphane 6 Putinar, Mihai 6 Roubellat, François 5 Bes, C. 5 Laurent, Monique 4 Avrachenkov, Konstantin Evgen’evich 4 Rostalski, Philipp 3 De Castro, Yohann 3 Gamboa, Fabrice 3 Weißer, Tillmann 2 Anjos, Miguel F. 2 Blekherman, Grigoriy 2 Bugarin, Florian 2 Foucart, Simon 2 Hennet, Jean-Claude 2 Heß, Roxana 2 Hiriart-Urruty, Jean-Baptiste 2 Jeyakumar, Vaithilingam 2 Laraki, Ride 2 Li, Guoyin 2 Mourrain, Bernard 2 Pauwels, Edouard Jean Robert 2 Phạm Tiên So’n 2 Prieto-Rumeau, Tomás 2 Thanh, Tung Phan 1 Andrén, Lina Jansson 1 Arzelier, Denis 1 Bartoli, Adrien 1 Bean, James C. 1 Bertsimas, Dimitris John 1 Bréhard, Florent 1 Cavazos-Cadena, Rolando 1 Cerone, Vito 1 Charina, Maria 1 Chin, Eric B. 1 Claeys, Mathieu 1 Cominetti, Roberto 1 de Klerk, Etienne 1 Doan, Xuan Vinh 1 Emin, Youssouf 1 Facchinei, Francisco 1 Filar, Jerzy A. 1 Ghasemi, Mehdi 1 Gravin, Nick 1 Helton, John William 1 Hordjik, Arie 1 Joldeş, Mioara 1 Josz, Cédric 1 Laumond, Jean-Paul 1 Letchford, Adam N. 1 Löfberg, Johan 1 Mahey, Philippe 1 Mansard, Nicolas 1 Marshall, Murray Angus 1 Marx, Swann 1 Mercé, Colette 1 Mevissen, Martin 1 Netzer, Tim 1 Orteu, Jean-José 1 Parrilo, Pablo A. 1 Pasechnik, Dmitrii V. 1 Pearce, Charles Edward Miller 1 Piga, Dario 1 Prieur, Christophe 1 Quadrat, Jean-Pierre 1 Regruto, Diego 1 Riener, Cordian 1 Robins, Sinai 1 Roux, William 1 Savorgnan, Carlo 1 Sentenac, Thierry 1 Smith, Robert Longworth 1 Steurer, David 1 Stöckler, Joachim 1 Sukumar, Natarajan 1 Sun, Zhao 1 Theobald, Thorsten 1 Tijms, Henk C. 1 Toh, Kim-Chuan 1 Toh, Kimchuan 1 Trébuchet, Philippe 1 Trélat, Emmanuel 1 Varaiya, Pravin Pratap 1 Walrand, Jean C. 1 Wang, Jie 1 Wang, Jie 1 Yang, Shouguang 1 Zervos, Mihail
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#### Serials

 19 SIAM Journal on Optimization 16 IEEE Transactions on Automatic Control 10 Journal of Optimization Theory and Applications 10 Mathematical Programming. Series A. Series B 8 Proceedings of the American Mathematical Society 7 Mathematics of Operations Research 7 SIAM Journal on Control and Optimization 7 Operations Research Letters 6 Journal of Mathematical Analysis and Applications 5 Systems & Control Letters 5 Optimization Letters 4 Discrete & Computational Geometry 4 Journal of Applied Mathematics and Stochastic Analysis 4 Journal of Global Optimization 3 American Mathematical Monthly 3 Archiv der Mathematik 3 Journal of Applied Probability 3 RAIRO. Recherche Opérationnelle 3 Transactions of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 European Journal of Operational Research 3 Applicationes Mathematicae 3 Journal of Convex Analysis 3 Advances in Computational Mathematics 2 The Annals of Probability 2 Journal of Approximation Theory 2 Journal of Functional Analysis 2 Operations Research 2 Statistics & Probability Letters 2 International Journal of Production Research 2 SIAM Review 2 RAIRO. Automatique-Productique, Informatique Industrielle 2 Probability in the Engineering and Informational Sciences 2 The ANZIAM Journal 2 Discrete Optimization 2 Mathematical Programming Computation 2 Applications of Mathematics 2 SIAM Journal on Applied Algebra and Geometry 1 Advances in Applied Probability 1 IEEE Transactions on Information Theory 1 ACM Transactions on Mathematical Software 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 Automatica 1 Management Science 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 RAIRO, Automatique, Systems Analysis and Control 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Computational Mechanics 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Annals of Operations Research 1 The Annals of Applied Probability 1 Linear Algebra and its Applications 1 ZOR. Zeitschrift für Operations Research 1 Journal of Mathematical Imaging and Vision 1 Journal of Algebraic Combinatorics 1 Computational Optimization and Applications 1 Top 1 International Transactions in Operational Research 1 Mathematical Problems in Engineering 1 Mathematical Finance 1 Optimization Methods & Software 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the ACM 1 International Game Theory Review 1 Foundations of Computational Mathematics 1 Stochastic Models 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Oberwolfach Reports 1 Pacific Journal of Optimization 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Economics and Mathematical Systems 1 Progress in Mathematics 1 International Series in Operations Research & Management Science 1 Springer Tracts in Advanced Robotics 1 Set-Valued and Variational Analysis 1 Imperial College Press Optimization Series 1 Mathematical Control and Related Fields 1 EURO Journal on Computational Optimization 1 Advanced Courses in Mathematics – CRM Barcelona 1 Springer Series in Operations Research and Financial Engineering 1 Cambridge Texts in Applied Mathematics
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#### Fields

 166 Operations research, mathematical programming (90-XX) 38 Systems theory; control (93-XX) 34 Numerical analysis (65-XX) 30 Algebraic geometry (14-XX) 27 Probability theory and stochastic processes (60-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Field theory and polynomials (12-XX) 15 Measure and integration (28-XX) 15 Integral transforms, operational calculus (44-XX) 13 Commutative algebra (13-XX) 12 Real functions (26-XX) 12 Convex and discrete geometry (52-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Operator theory (47-XX) 11 Computer science (68-XX) 8 Approximations and expansions (41-XX) 7 Number theory (11-XX) 6 Functions of a complex variable (30-XX) 5 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH

197 Publications have been cited 2,838 times in 1,705 Documents Cited by Year
Global optimization with polynomials and the problem of moments. Zbl 1010.90061
Lasserre, Jean B.
2001
Further topics on discrete-time Markov control processes. Zbl 0928.93002
Hernández-Lerma, Onésimo; Lasserre, Jean Bernard
1999
GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277
Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan
2009
Discrete-time Markov control processes. Basic optimality criteria. Zbl 0840.93001
Hernández-Lerma, Onésimo; Lasserre, Jean Bernard
1995
Moments, positive polynomials and their applications. Zbl 1211.90007
Lasserre, Jean Bernard
2010
GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. Zbl 1070.65549
Henrion, Didier; Lasserre, Jean-Bernard
2003
Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301
Henrion, Didier; Lassere, Jean-Bernard
2005
Handbook on semidefinite, conic and polynomial optimization. Zbl 1235.90002
Anjos, Miguel F. (ed.); Lasserre, Jean B. (ed.)
2012
An explicit equivalent positive semidefinite program for nonlinear 0-1 programs. Zbl 1007.90046
Lasserre, Jean B.
2002
Convergent SDP-relaxations in polynomial optimization with sparsity. Zbl 1119.90036
Lasserre, Jean B.
2006
Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180
Henrion, Didier; Lasserre, Jean-Bernard
2006
Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193
Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel
2008
An explicit exact SDP relaxation for nonlinear 0-1 programs. Zbl 1010.90515
Lasserre, Jean B.
2001
Markov chains and invariant probabilities. Zbl 1036.60003
Hernández-Lerma, Onésimo; Lasserre, Jean Bernard
2003
Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
2008
Convexity in semialgebraic geometry and polynomial optimization. Zbl 1181.90216
Lasserre, Jean B.
2009
Average optimality in Markov control processes via discounted-cost problems and linear programming. Zbl 0853.93106
Hernández-Lerma, Onésimo; Lasserre, Jean B.
1996
A modified shifting bottleneck procedure for job-shop scheduling. Zbl 0773.90036
Dauzere-Peres, S.; Lasserre, J.-B.
1993
Error bounds for rolling horizon policies in discrete-time Markov control processes. Zbl 0724.93087
Hernández-Lerma, O.; Lasserre, J. B.
1990
An analytical expression and an algorithm for the volume of a convex polyhedron in $$R^ n$$. Zbl 0487.52006
Lasserre, J. B.
1983
Semidefinite programming vs. LP relaxations for polynomial programming. Zbl 1082.90554
Lasserre, Jean B.
2002
Integration on a convex polytope. Zbl 0901.65012
Lasserre, Jean B.
1998
A semidefinite programming approach to the generalized problem of moments. Zbl 1145.90049
Lasserre, Jean B.
2008
On representations of the feasible set in convex optimization. Zbl 1180.90237
Lasserre, Jean Bernard
2010
Convex sets with semidefinite representation. Zbl 1198.14055
Lasserre, Jean B.
2009
An introduction to polynomial and semi-algebraic optimization. Zbl 1320.90003
Lasserre, Jean Bernard
2015
A new look at nonnegativity on closed sets and polynomial optimization. Zbl 1242.90176
Lasserre, Jean B.
2011
Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037
Henrion, D.; Lasserre, J. B.; Savorgnan, C.
2009
SOS approximations of nonnegative polynomials via simple high degree perturbations. Zbl 1122.13005
Lasserre, Jean B.; Netzer, Tim
2007
Zero-sum stochastic games in Borel spaces: average payoff criteria. Zbl 1140.91319
Hernández-Lerma, Onésimo; Lasserre, Jean B.
2001
Approximation schemes for infinite linear programs. Zbl 0912.90219
Hernández-Lerma, Onésimo; Lasserre, Jean B.
1998
An integrated model for job-shop planning and scheduling. Zbl 0761.90062
Lasserre, J. B.
1992
Exploiting symmetries in SDP-relaxations for polynomial optimization. Zbl 1291.90167
Riener, Cordian; Theobald, Thorsten; Andrén, Lina Jansson; Lasserre, Jean B.
2013
A bounded degree SOS hierarchy for polynomial optimization. Zbl 1368.90132
Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang
2017
Pricing a class of exotic options via moments and SDP relaxations. Zbl 1133.91428
Lasserre, J. B.; Prieto-Rumeau; Zervos, M.
2006
Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Zbl 1336.65020
Chin, Eric B.; Lasserre, Jean B.; Sukumar, N.
2015
Bounds on measures satisfying moment conditions. Zbl 1073.90534
Lasserre, Jean B.
2002
Integration and homogeneous functions. Zbl 0913.65015
Lasserre, Jean B.
1999
Multi-resource shop scheduling with resource flexibility. Zbl 0943.90028
Dauzère-Pérès, S.; Roux, William; Lasserre, J. B.
1998
On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208
Jeyakumar, V.; Lasserre, J. B.; Li, G.
2014
A sum of squares approximation of nonnegative polynomials. Zbl 1129.12003
Lasserre, Jean B.
2006
Reachable, controllable sets and stabilizing control of constrained linear systems. Zbl 0772.93039
Lasserre, J. B.
1993
Polynomials nonnegative on a grid and discrete optimization. Zbl 1052.90064
Lasserre, Jean B.
2002
Integration of lotsizing and scheduling decisions in a job-shop. Zbl 0806.90062
Dauzère-Péres, Stephane; Lasserre, Jean-Bernard
1994
Average cost optimal policies for Markov control processes with Borel state space and unbounded costs. Zbl 0723.93080
Hernández-Lerma, Onésimo; Lasserre, Jean B.
1990
Moment matrices, border bases and real radical computation. Zbl 1276.13021
Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe
2013
A “joint+marginal” approach to parametric polynomial optimization. Zbl 1204.65067
Lasserre, Jean B.
2010
Computing uniform convex approximations for convex envelopes and convex hulls. Zbl 1153.90011
Laraki, Ride; Lasserre, Jean Bernard
2008
SDP vs. LP relaxations for the moment approach in some performance evaluation problems. Zbl 1067.60059
Lasserre, Jean-Bernard; Prieto-Rumeau, Tomás
2004
Ergodic theorems and ergodic decomposition for Markov chains. Zbl 1002.60559
Hernández-Lerma, Onésimo; Lasserre, Jean B.
1998
Introduction to semidefinite, conic and polynomial optimization. Zbl 1334.90095
Anjos, Miguel F.; Lasserre, Jean B.
2012
The inverse moment problem for convex polytopes. Zbl 1285.68198
Gravin, Nick; Lasserre, Jean; Pasechnik, Dmitrii V.; Robins, Sinai
2012
Moments and sums of squares for polynomial optimization and related problems. Zbl 1177.90324
Lasserre, Jean B.
2009
Polynomial programming: LP-relaxations also converge. Zbl 1114.90086
Lasserre, Jean B.
2004
Global optimization and theory of moments. Zbl 1016.90031
Lasserre, Jean Bernard
2000
New approximations for the cone of copositive matrices and its dual. Zbl 1292.15034
Lasserre, Jean B.
2014
Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460
Henrion, Didier; Lasserre, Jean-Bernard
2012
A Laplace transform algorithm for the volume of a convex polytope. Zbl 1323.68538
Lasserre, Jean B.; Zeron, Eduardo S.
2001
Fatou’s lemma and Lebesgue’s convergence theorem for measures. Zbl 0961.28002
Hernández-Lerma, Onésimo; Lasserre, Jean B.
2000
The fundamental matrix of singularly perturbed Markov chains. Zbl 0947.60073
Avrachenkov, Konstantin E.; Lasserre, Jean B.
1999
A trace inequality for matrix product. Zbl 0835.15013
Lasserre, Jean B.
1995
Value iteration and rolling plans for Markov control processes with unbounded rewards. Zbl 0781.90093
Hernández-Lerma, Onésimo; Lasserre, Jean B.
1993
Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. Zbl 1402.90136
Weisser, Tillmann; Lasserre, Jean B.; Toh, Kim-Chuan
2018
On convex optimization without convex representation. Zbl 1229.90125
Lasserre, Jean B.
2011
Lot streaming in job-shop scheduling. Zbl 0887.90086
Dauzère-Pérès, Stéphane; Lasserre, Jean-Bernard
1997
A forecast horizon and a stopping rule for general Markov decision processes. Zbl 0646.90090
Hernández-Lerma, O.; Lasserre, J. B.
1988
Bound-constrained polynomial optimization using only elementary calculations. Zbl 1371.90099
de Klerk, Etienne; Lasserre, Jean B.; Laurent, Monique; Sun, Zhao
2017
The $$K$$-moment problem for continuous linear functionals. Zbl 1275.44003
Lasserre, Jean B.
2013
An algorithm for semi-infinite polynomial optimization. Zbl 1285.90076
Lasserre, J. B.
2012
Robust global optimization with polynomials. Zbl 1134.90031
Lasserre, Jean B.
2006
Mathematical properties of optimization problems defined by positively homogeneous functions. Zbl 1049.90064
Lasserre, J. B.; Hiriart-Urruty, J. B.
2002
Solving a class of multivariate integration problems via Laplace techniques. Zbl 1008.65016
Lasserre, Jean B.; Zeron, Eduardo S.
2001
Strong 1-optimal stationary policies in denumerable Markov decision processes. Zbl 0654.90097
1988
Exact solutions to super resolution on semi-algebraic domains in higher dimensions. Zbl 1359.94030
De Castro, Yohann; Gamboa, F.; Henrion, Didier; Lasserre, J.-B.
2017
Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
2015
Convex underestimators of polynomials. Zbl 1273.90160
Lasserre, Jean B.; Thanh, Tung Phan
2013
Analytic perturbation of generalized inverses. Zbl 1347.15006
Avrachenkov, Konstantin E.; Lasserre, Jean B.
2013
Positivity and optimization for semi-algebraic functions. Zbl 1210.14068
Lasserre, Jean B.; Putinar, Mihai
2010
Representation of nonnegative convex polynomials. Zbl 1159.14033
Lasserre, Jean B.
2008
Sufficient conditions for a real polynomial to be a sum of squares. Zbl 1149.11018
Lasserre, Jean B.
2007
A sum of squares approximation of nonnegative polynomials. Zbl 1129.12004
Lasserre, Jean B.
2007
On the importance of sequencing decisions in production planning and scheduling. Zbl 1044.90034
Dauzére-Pérès, Stéphane; Lasserre, Jean-Bernard
2002
On the existence of a quasistationary measure for a Markov chain. Zbl 1018.60071
Lasserre, Jean B.; Pearce, Charles E. M.
2001
The multi-dimensional version of $$\int^b_a x^p dx$$. Zbl 1005.26008
Lasserre, Jean B.; Avrachenkov, Konstantin E.
2001
Invariant probabilities for Markov chains on a metric space. Zbl 0894.60071
Lasserre, Jean B.
1997
Policy iteration for average cost Markov control processes on Borel spaces. Zbl 0872.93080
Hernández-Lerma, Onésimo; Lasserre, Jean B.
1997
Average cost Markov decision processes: Optimality conditions. Zbl 0739.90072
Hernández-Lerma, O.; Hennet, J. C.; Lasserre, J. B.
1991
Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088
Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S.
2016
Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492
Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard
2014
A prolongation-projection algorithm for computing the finite real variety of an ideal. Zbl 1172.14036
Lasserre, Jean B.; Laurent, Monique; Rostalski, Philipp
2009
A unified approach to computing real and complex zeros of zero-dimensional ideals. Zbl 1171.12001
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
2009
Sum of squares approximation of polynomials, nonnegative on a real algebraic set. Zbl 1093.14078
Lasserre, Jean B.
2005
On counting integral points in a convex rational polytope. Zbl 1082.52009
Lasserre, Jean B.; Zeron, Eduardo S.
2003
The linear programming approach. Zbl 1038.90051
Hernández-Lerma, Onésimo; Lasserre, Jean B.
2002
Linear programming and average optimality of Markov control processes on Borel spaces – unbounded costs. Zbl 0799.90120
Hernández-Lerma, Onésimo; Lasserre, Jean B.
1994
Conditions for existence of average and Blackwell optimal stationary policies in denumerable Markov decision processes. Zbl 0659.90094
Lasserre, J. B.
1988
An on-line procedure in discounted infinite-horizon stochastic optimal control. Zbl 0571.93072
Bes, C.; Lasserre, J. B.
1986
A globally convergent algorithm for exact penalty functions. Zbl 0454.90061
Lasserre, J. B.
1981
A Lagrangian relaxation view of linear and semidefinite hierarchies. Zbl 1282.90139
Lasserre, Jean B.
2013
Linear programming with positive semi-definite matrices. Zbl 0919.90108
Lasserre, J. B.
1996
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
2020
Approximate optimal designs for multivariate polynomial regression. Zbl 1417.62219
De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Hess, Roxana; Lasserre, Jean-Bernard
2019
On moment problems with holonomic functions. Zbl 07246231
Bréhard, Florent; Joldes, Mioara; Lasserre, Jean-Bernard
2019
Computation of Chebyshev polynomials for union of intervals. Zbl 1436.30004
Foucart, Simon; Lasserre, Jean Bernard
2019
Volume of sublevel sets of homogeneous polynomials. Zbl 07110732
Lasserre, Jean B.
2019
In SDP relaxations, inaccurate solvers do robust optimization. Zbl 1421.90109
Lasserre, Jean-Bernard; Magron, Victor
2019
The empirical Christoffel function with applications in data analysis. Zbl 1425.62079
Lasserre, Jean B.; Pauwels, Edouard
2019
Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Zbl 1417.90112
Josz, Cédric; Lasserre, Jean Bernard; Mourrain, Bernard
2019
Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. Zbl 1402.90136
Weisser, Tillmann; Lasserre, Jean B.; Toh, Kim-Chuan
2018
The moment-SOS hierarchy. Zbl 1451.90130
Lasserre, Jean B.
2018
Determining projection constants of univariate polynomial spaces. Zbl 1407.90248
Foucart, Simon; Lasserre, Jean B.
2018
A bounded degree SOS hierarchy for polynomial optimization. Zbl 1368.90132
Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang
2017
Bound-constrained polynomial optimization using only elementary calculations. Zbl 1371.90099
de Klerk, Etienne; Lasserre, Jean B.; Laurent, Monique; Sun, Zhao
2017
Exact solutions to super resolution on semi-algebraic domains in higher dimensions. Zbl 1359.94030
De Castro, Yohann; Gamboa, F.; Henrion, Didier; Lasserre, J.-B.
2017
Computing Gaussian & exponential measures of semi-algebraic sets. Zbl 1370.28002
Lasserre, Jean B.
2017
Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088
Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S.
2016
A MAX-CUT formulation of 0/1 programs. Zbl 1408.90222
Lasserre, Jean B.
2016
Linear conic optimization for inverse optimal control. Zbl 1342.93063
Pauwels, Edouard; Henrion, Didier; Lasserre, Jean-Bernard
2016
Minimizing the sum of many rational functions. Zbl 1364.90268
Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard
2016
Lebesgue decomposition in action via semidefinite relaxations. Zbl 1353.90085
Lasserre, Jean B.
2016
Semidefinite approximations of the polynomial abscissa. Zbl 1351.90127
Heß, Roxana; Henrion, Didier; Lasserre, Jean-Bernard; Phạm, Tien Son
2016
An introduction to polynomial and semi-algebraic optimization. Zbl 1320.90003
Lasserre, Jean Bernard
2015
Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Zbl 1336.65020
Chin, Eric B.; Lasserre, Jean B.; Sukumar, N.
2015
Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
2015
Algebraic-exponential data recovery from moments. Zbl 1342.14118
Lasserre, Jean Bernard; Putinar, Mihai
2015
Tractable approximations of sets defined with quantifiers. Zbl 1328.90100
Lasserre, Jean B.
2015
A generalization of Löwner-John’s ellipsoid theorem. Zbl 1337.90049
Lasserre, Jean B.
2015
Moments and Legendre-Fourier series for measures supported on curves. Zbl 1325.42032
Lasserre, Jean B.
2015
Volume of slices and sections of the simplex in closed form. Zbl 1400.52006
Lasserre, Jean B.
2015
Rank-constrained fundamental matrix estimation by polynomial global optimization versus the eight-point algorithm. Zbl 1330.68288
Bugarin, Florian; Bartoli, Adrien; Henrion, Didier; Lasserre, Jean-Bernard; Orteu, Jean-José; Sentenac, Thierry
2015
On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208
Jeyakumar, V.; Lasserre, J. B.; Li, G.
2014
New approximations for the cone of copositive matrices and its dual. Zbl 1292.15034
Lasserre, Jean B.
2014
Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492
Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard
2014
A unified framework for solving a general class of conditional and robust set-membership estimation problems. Zbl 1360.93330
Cerone, Vito; Lasserre, Jean-Bernard; Piga, Dario; Regruto, Diego
2014
Erratum to: “On convex optimization without convex representation”. Zbl 1303.90081
Lasserre, Jean B.
2014
Approximating Pareto curves using semidefinite relaxations. Zbl 1408.90273
Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard
2014
Lower bounds on the global minimum of a polynomial. Zbl 1304.90163
Ghasemi, M.; Lasserre, J. B.; Marshall, M.
2014
Mean squared error minimization for inverse moment problems. Zbl 1297.49064
Henrion, Didier; Lasserre, Jean B.; Mevissen, Martin
2014
Exploiting symmetries in SDP-relaxations for polynomial optimization. Zbl 1291.90167
Riener, Cordian; Theobald, Thorsten; Andrén, Lina Jansson; Lasserre, Jean B.
2013
Moment matrices, border bases and real radical computation. Zbl 1276.13021
Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe
2013
The $$K$$-moment problem for continuous linear functionals. Zbl 1275.44003
Lasserre, Jean B.
2013
Convex underestimators of polynomials. Zbl 1273.90160
Lasserre, Jean B.; Thanh, Tung Phan
2013
Analytic perturbation of generalized inverses. Zbl 1347.15006
Avrachenkov, Konstantin E.; Lasserre, Jean B.
2013
A Lagrangian relaxation view of linear and semidefinite hierarchies. Zbl 1282.90139
Lasserre, Jean B.
2013
Recovering an homogeneous polynomial from moments of its level set. Zbl 1311.44009
Lasserre, Jean B.
2013
Borel measures with a density on a compact semi-algebraic set. Zbl 1281.44010
Lasserre, Jean B.
2013
Handbook on semidefinite, conic and polynomial optimization. Zbl 1235.90002
Anjos, Miguel F. (ed.); Lasserre, Jean B. (ed.)
2012
Introduction to semidefinite, conic and polynomial optimization. Zbl 1334.90095
Anjos, Miguel F.; Lasserre, Jean B.
2012
The inverse moment problem for convex polytopes. Zbl 1285.68198
Gravin, Nick; Lasserre, Jean; Pasechnik, Dmitrii V.; Robins, Sinai
2012
Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460
Henrion, Didier; Lasserre, Jean-Bernard
2012
An algorithm for semi-infinite polynomial optimization. Zbl 1285.90076
Lasserre, J. B.
2012
Positivity and optimization: beyond polynomials. Zbl 1334.65103
Lasserre, Jean B.; Putinar, Mihai
2012
The truncated K-moment problem for closure of open sets. Zbl 1282.47016
Blekherman, G.; Lasserre, J. B.
2012
Semidefinite programming for min-max problems and games. Zbl 1242.90158
Laraki, R.; Lasserre, J. B.
2012
Moments and positive polynomials for optimization. Zbl 1401.90149
Lasserre, Jean B.
2012
A new look at nonnegativity on closed sets and polynomial optimization. Zbl 1242.90176
Lasserre, Jean B.
2011
On convex optimization without convex representation. Zbl 1229.90125
Lasserre, Jean B.
2011
Min-max and robust polynomial optimization. Zbl 1230.90194
Lasserre, J. B.
2011
Bounding the support of a measure from its marginal moments. Zbl 1231.60004
Lasserre, Jean B.
2011
Moments, positive polynomials and their applications. Zbl 1211.90007
Lasserre, Jean Bernard
2010
On representations of the feasible set in convex optimization. Zbl 1180.90237
Lasserre, Jean Bernard
2010
A “joint+marginal” approach to parametric polynomial optimization. Zbl 1204.65067
Lasserre, Jean B.
2010
Positivity and optimization for semi-algebraic functions. Zbl 1210.14068
Lasserre, Jean B.; Putinar, Mihai
2010
Certificates of convexity for basic semi-algebraic sets. Zbl 1192.90136
Lasserre, J. B.
2010
GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277
Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan
2009
Convexity in semialgebraic geometry and polynomial optimization. Zbl 1181.90216
Lasserre, Jean B.
2009
Convex sets with semidefinite representation. Zbl 1198.14055
Lasserre, Jean B.
2009
Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037
Henrion, D.; Lasserre, J. B.; Savorgnan, C.
2009
Moments and sums of squares for polynomial optimization and related problems. Zbl 1177.90324
Lasserre, Jean B.
2009
A prolongation-projection algorithm for computing the finite real variety of an ideal. Zbl 1172.14036
Lasserre, Jean B.; Laurent, Monique; Rostalski, Philipp
2009
A unified approach to computing real and complex zeros of zero-dimensional ideals. Zbl 1171.12001
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
2009
Linear and integer programming vs linear integration and counting. A duality viewpoint. Zbl 1188.90170
Lasserre, Jean-Bernard
2009
Duality and a Farkas lemma for integer programs. Zbl 1182.49029
Lasserre, Jean B.
2009
Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193
Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel
2008
Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
2008
A semidefinite programming approach to the generalized problem of moments. Zbl 1145.90049
Lasserre, Jean B.
2008
Computing uniform convex approximations for convex envelopes and convex hulls. Zbl 1153.90011
Laraki, Ride; Lasserre, Jean Bernard
2008
Representation of nonnegative convex polynomials. Zbl 1159.14033
Lasserre, Jean B.
2008
Measures with zeros in the inverse of their moment matrix. Zbl 1169.15005
Helton, J. William; Lasserre, Jean B.; Putinar, Mihai
2008
Approximating integrals of multivariate exponentials: A moment approach. Zbl 1160.65009
Bertsimas, Dimitris; Doan, Xuan Vinh; Lasserre, Jean
2008
SOS approximations of nonnegative polynomials via simple high degree perturbations. Zbl 1122.13005
Lasserre, Jean B.; Netzer, Tim
2007
Sufficient conditions for a real polynomial to be a sum of squares. Zbl 1149.11018
Lasserre, Jean B.
2007
A sum of squares approximation of nonnegative polynomials. Zbl 1129.12004
Lasserre, Jean B.
2007
Simple explicit formula for counting lattice points of polyhedra. Zbl 1136.90522
Lasserre, Jean B.; Zeron, Eduardo S.
2007
Convergent SDP-relaxations in polynomial optimization with sparsity. Zbl 1119.90036
Lasserre, Jean B.
2006
Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180
Henrion, Didier; Lasserre, Jean-Bernard
2006
Pricing a class of exotic options via moments and SDP relaxations. Zbl 1133.91428
Lasserre, J. B.; Prieto-Rumeau; Zervos, M.
2006
A sum of squares approximation of nonnegative polynomials. Zbl 1129.12003
Lasserre, Jean B.
2006
Robust global optimization with polynomials. Zbl 1134.90031
Lasserre, Jean B.
2006
LMIs for constrained polynomial interpolation with application in trajectory planning. Zbl 1129.93460
Henrion, Didier; Lasserre, Jean-Bernard
2006
A moment approach to analyze zeros of triangular polynomial sets. Zbl 1129.26011
Lasserre, Jean B.
2006
Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301
Henrion, Didier; Lassere, Jean-Bernard
2005
Sum of squares approximation of polynomials, nonnegative on a real algebraic set. Zbl 1093.14078
Lasserre, Jean B.
2005
An alternative algorithm for counting lattice points in a convex polytope. Zbl 1082.05007
Lasserre, Jean B.; Zeron, Eduardo S.
2005
Integer programming, duality and superadditive functions. Zbl 1082.90137
Lasserre, Jean B.
2005
SDP vs. LP relaxations for the moment approach in some performance evaluation problems. Zbl 1067.60059
Lasserre, Jean-Bernard; Prieto-Rumeau, Tomás
2004
Polynomial programming: LP-relaxations also converge. Zbl 1114.90086
Lasserre, Jean B.
2004
A discrete Farkas lemma. Zbl 1087.90051
Lasserre, Jean B.
2004
Integer programming, Barvinok’s counting algorithm and Gomory relaxations. Zbl 1060.90055
Lasserre, Jean B.
2004
Generating functions and duality for integer programs. Zbl 1154.90549
Lasserre, Jean B.
2004
...and 97 more Documents
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#### Cited by 2,208 Authors

 92 Lasserre, Jean-Bernard 56 Guo, Xianping 34 Henrion, Didier 33 Nie, Jiawang 30 Hernández-Lerma, Onésimo 24 Dufour, François 21 Jeyakumar, Vaithilingam 21 Li, Guoyin 20 Jaśkiewicz, Anna 19 Laurent, Monique 18 de Klerk, Etienne 18 Qi, Liqun 17 Montes-de-Oca, Raúl 17 Nowak, Andrzej S. 16 Kojima, Masakazu 16 Piunovskiĭ, Alekseĭ Borisovich 15 Fan, Jinyan 15 Minjárez-Sosa, J. Adolfo 15 Zhang, Yi 14 Huang, Yonghui 14 Prieto-Rumeau, Tomás 13 Magron, Victor 13 Zhou, Anwa 13 Zhu, Quanxin 12 Klep, Igor 12 Mastrolilli, Monaldo 12 Phạm Tiên So’n 11 Cavazos-Cadena, Rolando 11 Cerone, Vito 11 Costa, Oswaldo Luiz V. 11 Dauzère-Pérès, Stéphane 11 Kim, Sunyoung 11 Locatelli, Marco 11 Parrilo, Pablo A. 11 Putinar, Mihai 11 Regruto, Diego 10 Kurpisz, Adam 10 Wei, Qingda 9 Ahmadi, Amir Ali 9 Chesi, Graziano 9 Chuong, Thai Doan 9 Helton, John William 9 Netzer, Tim 9 Piga, Dario 9 Povh, Janez 9 Safey El Din, Mohab 8 Anjos, Miguel F. 8 Jasso-Fuentes, Héctor 8 Kanno, Yoshihiro 8 Leppänen, Samuli 8 Marshall, Murray Angus 8 Zhang, Shuzhong 8 Zhang, Xinzhen 7 Bertsimas, Dimitris John 7 Blanco, Víctor 7 Bomze, Immanuel M. 7 De Loera, Jesús A. 7 Feinberg, Eugene Aleksandrovich 7 Gaitsgory, Vladimir A. 7 Kuhlmann, Salma 7 Luque-Vásquez, Fernando 7 Mourrain, Bernard 7 Muramatsu, Masakazu 7 Natarajan, Karthik 7 Rustem, Berc 7 Tunçel, Levent 7 Waki, Hayato 7 Zuluaga, Luis Fernando 6 Borkar, Vivek Shripad 6 Cruz Suárez, Hugo Adán 6 de Wolff, Timo 6 Ghasemi, Mehdi 6 Guo, Feng 6 Korda, Milan 6 Li, Zhening 6 Parpas, Panos 6 Pozdyaev, V. V. 6 Puerto Albandoz, Justo 6 Schweighofer, Markus 6 Sukumar, Natarajan 6 Vallentin, Frank 6 Vega-Amaya, Oscar 6 Vera, Juan-Carlos 6 Yüksel, Serdar 6 Zhi, Lihong 5 Bienstock, Daniel 5 Blanchini, Franco 5 Blekherman, Grigoriy 5 Cafuta, Kristijan 5 Claeys, Mathieu 5 Gaubert, Stéphane 5 Gordienko, Evgueni I. 5 Hall, Georgina 5 Hu, ShengLong 5 Huang, Xiangxiang 5 Iliman, Sadik 5 Infusino, Maria 5 Jiang, Bo 5 Lee, Gue Myung 5 Lemus-Rodríguez, Enrique ...and 2,108 more Authors
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#### Cited in 306 Serials

 104 Mathematical Programming. Series A. Series B 75 European Journal of Operational Research 69 Automatica 66 Journal of Global Optimization 60 Journal of Optimization Theory and Applications 57 SIAM Journal on Optimization 43 Operations Research Letters 40 Journal of Mathematical Analysis and Applications 40 Computational Optimization and Applications 37 Systems & Control Letters 35 SIAM Journal on Control and Optimization 32 Optimization Letters 23 Applied Mathematics and Optimization 23 Journal of Symbolic Computation 23 Mathematical Methods of Operations Research 21 Journal of Applied Probability 21 Annals of Operations Research 21 Linear Algebra and its Applications 18 Kybernetika 16 Mathematics of Operations Research 15 Journal of Computational and Applied Mathematics 15 Computers & Operations Research 13 International Journal of Control 13 Applied Mathematics and Computation 13 International Journal of Robust and Nonlinear Control 13 SIAM Journal on Applied Algebra and Geometry 12 International Journal of Production Research 11 Optimization Methods & Software 11 Journal of Dynamics and Games 10 Advances in Applied Probability 10 Discrete Applied Mathematics 10 Transactions of the American Mathematical Society 10 Optimization 10 Top 10 European Journal of Control 10 Foundations of Computational Mathematics 9 Computer Methods in Applied Mechanics and Engineering 9 Theoretical Computer Science 9 Acta Applicandae Mathematicae 9 Discrete Optimization 8 Operations Research 8 Proceedings of the American Mathematical Society 8 Statistics & Probability Letters 8 Discrete & Computational Geometry 8 SIAM Journal on Matrix Analysis and Applications 8 Applied Mathematical Modelling 8 SIAM Journal on Scientific Computing 7 Journal of Computational Physics 7 Journal of the Franklin Institute 7 Journal of Pure and Applied Algebra 7 Stochastic Analysis and Applications 7 Applied Mathematics Letters 7 The Annals of Applied Probability 7 Journal of Combinatorial Optimization 7 Set-Valued and Variational Analysis 7 Dynamic Games and Applications 6 Communications in Mathematical Physics 6 International Journal for Numerical Methods in Engineering 6 Journal of Functional Analysis 6 SIAM Journal on Computing 6 Automation and Remote Control 6 Journal of Scheduling 6 RAIRO. Operations Research 6 4OR 6 Science China. Mathematics 5 International Journal of Systems Science 5 Archiv der Mathematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Numerical Functional Analysis and Optimization 5 Optimal Control Applications & Methods 5 Discrete Event Dynamic Systems 5 Numerical Algorithms 5 Journal of Applied Mathematics 5 Mathematical Programming Computation 5 Journal of the Operations Research Society of China 4 Journal of Mathematical Biology 4 Mathematics of Computation 4 Journal of Economic Theory 4 Mathematische Zeitschrift 4 Journal of Complexity 4 Computational Mechanics 4 SIAM Journal on Discrete Mathematics 4 Stochastic Processes and their Applications 4 Journal of Mathematical Imaging and Vision 4 Advances in Computational Mathematics 4 Positivity 4 Optimization and Engineering 4 Discrete and Continuous Dynamical Systems. Series B 4 OR Spectrum 4 Journal of Industrial and Management Optimization 4 Frontiers of Mathematics in China 4 Nonlinear Analysis. Hybrid Systems 3 Israel Journal of Mathematics 3 The Annals of Probability 3 The Annals of Statistics 3 Journal of Approximation Theory 3 Naval Research Logistics 3 SIAM Journal on Numerical Analysis 3 Advances in Applied Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series ...and 206 more Serials
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#### Cited in 57 Fields

 1,118 Operations research, mathematical programming (90-XX) 342 Systems theory; control (93-XX) 220 Numerical analysis (65-XX) 195 Probability theory and stochastic processes (60-XX) 138 Calculus of variations and optimal control; optimization (49-XX) 127 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 122 Algebraic geometry (14-XX) 116 Computer science (68-XX) 94 Linear and multilinear algebra; matrix theory (15-XX) 63 Convex and discrete geometry (52-XX) 57 Commutative algebra (13-XX) 50 Combinatorics (05-XX) 49 Operator theory (47-XX) 48 Statistics (62-XX) 46 Integral transforms, operational calculus (44-XX) 35 Number theory (11-XX) 30 Field theory and polynomials (12-XX) 28 Real functions (26-XX) 28 Information and communication theory, circuits (94-XX) 27 Biology and other natural sciences (92-XX) 26 Dynamical systems and ergodic theory (37-XX) 25 Functional analysis (46-XX) 22 Mechanics of deformable solids (74-XX) 19 Partial differential equations (35-XX) 18 Ordinary differential equations (34-XX) 17 Approximations and expansions (41-XX) 17 Quantum theory (81-XX) 14 Measure and integration (28-XX) 11 Functions of a complex variable (30-XX) 9 Mathematical logic and foundations (03-XX) 9 Group theory and generalizations (20-XX) 8 Geometry (51-XX) 8 Fluid mechanics (76-XX) 6 Special functions (33-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 General algebraic systems (08-XX) 5 Differential geometry (53-XX) 5 Optics, electromagnetic theory (78-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Potential theory (31-XX) 4 Mechanics of particles and systems (70-XX) 3 Abstract harmonic analysis (43-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 History and biography (01-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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