Edit Profile Lasserre, Jean-Bernard Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1010.90061Lasserre, Jean B. 492 2001 Further topics on discrete-time Markov control processes. Zbl 0928.93002Hernández-Lerma, Onésimo; Lasserre, Jean Bernard 198 1999 GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan 146 2009 Discrete-time Markov control processes. Basic optimality criteria. Zbl 0840.93001Hernández-Lerma, Onésimo; Lasserre, Jean Bernard 88 1995 Moments, positive polynomials and their applications. Zbl 1211.90007Lasserre, Jean Bernard 85 2010 GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi. Zbl 1070.65549Henrion, Didier; Lasserre, Jean-Bernard 80 2003 Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301Henrion, Didier; Lassere, Jean-Bernard 65 2005 Handbook on semidefinite, conic and polynomial optimization. Zbl 1235.90002Anjos, Miguel F. (ed.); Lasserre, Jean B. (ed.) 58 2012 An explicit equivalent positive semidefinite program for nonlinear 0-1 programs. Zbl 1007.90046Lasserre, Jean B. 55 2002 Convergent SDP-relaxations in polynomial optimization with sparsity. Zbl 1119.90036Lasserre, Jean B. 54 2006 Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180Henrion, Didier; Lasserre, Jean-Bernard 49 2006 Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel 45 2008 An explicit exact SDP relaxation for nonlinear 0-1 programs. Zbl 1010.90515Lasserre, Jean B. 43 2001 Markov chains and invariant probabilities. Zbl 1036.60003Hernández-Lerma, Onésimo; Lasserre, Jean Bernard 40 2003 Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp 32 2008 Convexity in semialgebraic geometry and polynomial optimization. Zbl 1181.90216Lasserre, Jean B. 31 2009 Average optimality in Markov control processes via discounted-cost problems and linear programming. Zbl 0853.93106Hernández-Lerma, Onésimo; Lasserre, Jean B. 31 1996 A modified shifting bottleneck procedure for job-shop scheduling. Zbl 0773.90036Dauzere-Peres, S.; Lasserre, J.-B. 29 1993 Error bounds for rolling horizon policies in discrete-time Markov control processes. Zbl 0724.93087Hernández-Lerma, O.; Lasserre, J. B. 29 1990 An analytical expression and an algorithm for the volume of a convex polyhedron in \(R^ n\). Zbl 0487.52006Lasserre, J. B. 28 1983 Semidefinite programming vs. LP relaxations for polynomial programming. Zbl 1082.90554Lasserre, Jean B. 27 2002 Integration on a convex polytope. Zbl 0901.65012Lasserre, Jean B. 27 1998 A semidefinite programming approach to the generalized problem of moments. Zbl 1145.90049Lasserre, Jean B. 26 2008 On representations of the feasible set in convex optimization. Zbl 1180.90237Lasserre, Jean Bernard 25 2010 Convex sets with semidefinite representation. Zbl 1198.14055Lasserre, Jean B. 24 2009 An introduction to polynomial and semi-algebraic optimization. Zbl 1320.90003Lasserre, Jean Bernard 22 2015 A new look at nonnegativity on closed sets and polynomial optimization. Zbl 1242.90176Lasserre, Jean B. 22 2011 Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037Henrion, D.; Lasserre, J. B.; Savorgnan, C. 20 2009 SOS approximations of nonnegative polynomials via simple high degree perturbations. Zbl 1122.13005Lasserre, Jean B.; Netzer, Tim 20 2007 Zero-sum stochastic games in Borel spaces: average payoff criteria. Zbl 1140.91319Hernández-Lerma, Onésimo; Lasserre, Jean B. 20 2001 Approximation schemes for infinite linear programs. Zbl 0912.90219Hernández-Lerma, Onésimo; Lasserre, Jean B. 20 1998 An integrated model for job-shop planning and scheduling. Zbl 0761.90062Lasserre, J. B. 19 1992 Exploiting symmetries in SDP-relaxations for polynomial optimization. Zbl 1291.90167Riener, Cordian; Theobald, Thorsten; Andrén, Lina Jansson; Lasserre, Jean B. 18 2013 A bounded degree SOS hierarchy for polynomial optimization. Zbl 1368.90132Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang 17 2017 Pricing a class of exotic options via moments and SDP relaxations. Zbl 1133.91428Lasserre, J. B.; Prieto-Rumeau; Zervos, M. 17 2006 Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Zbl 1336.65020Chin, Eric B.; Lasserre, Jean B.; Sukumar, N. 16 2015 Bounds on measures satisfying moment conditions. Zbl 1073.90534Lasserre, Jean B. 16 2002 Integration and homogeneous functions. Zbl 0913.65015Lasserre, Jean B. 16 1999 Multi-resource shop scheduling with resource flexibility. Zbl 0943.90028Dauzère-Pérès, S.; Roux, William; Lasserre, J. B. 16 1998 On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208Jeyakumar, V.; Lasserre, J. B.; Li, G. 15 2014 A sum of squares approximation of nonnegative polynomials. Zbl 1129.12003Lasserre, Jean B. 15 2006 Reachable, controllable sets and stabilizing control of constrained linear systems. Zbl 0772.93039Lasserre, J. B. 15 1993 Polynomials nonnegative on a grid and discrete optimization. Zbl 1052.90064Lasserre, Jean B. 14 2002 Integration of lotsizing and scheduling decisions in a job-shop. Zbl 0806.90062Dauzère-Péres, Stephane; Lasserre, Jean-Bernard 14 1994 Average cost optimal policies for Markov control processes with Borel state space and unbounded costs. Zbl 0723.93080Hernández-Lerma, Onésimo; Lasserre, Jean B. 14 1990 Moment matrices, border bases and real radical computation. Zbl 1276.13021Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe 12 2013 A “joint+marginal” approach to parametric polynomial optimization. Zbl 1204.65067Lasserre, Jean B. 12 2010 Computing uniform convex approximations for convex envelopes and convex hulls. Zbl 1153.90011Laraki, Ride; Lasserre, Jean Bernard 12 2008 SDP vs. LP relaxations for the moment approach in some performance evaluation problems. Zbl 1067.60059Lasserre, Jean-Bernard; Prieto-Rumeau, Tomás 12 2004 Ergodic theorems and ergodic decomposition for Markov chains. Zbl 1002.60559Hernández-Lerma, Onésimo; Lasserre, Jean B. 12 1998 Introduction to semidefinite, conic and polynomial optimization. Zbl 1334.90095Anjos, Miguel F.; Lasserre, Jean B. 11 2012 The inverse moment problem for convex polytopes. Zbl 1285.68198Gravin, Nick; Lasserre, Jean; Pasechnik, Dmitrii V.; Robins, Sinai 11 2012 Moments and sums of squares for polynomial optimization and related problems. Zbl 1177.90324Lasserre, Jean B. 11 2009 Polynomial programming: LP-relaxations also converge. Zbl 1114.90086Lasserre, Jean B. 11 2004 Global optimization and theory of moments. Zbl 1016.90031Lasserre, Jean Bernard 11 2000 New approximations for the cone of copositive matrices and its dual. Zbl 1292.15034Lasserre, Jean B. 10 2014 Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460Henrion, Didier; Lasserre, Jean-Bernard 10 2012 A Laplace transform algorithm for the volume of a convex polytope. Zbl 1323.68538Lasserre, Jean B.; Zeron, Eduardo S. 10 2001 Fatou’s lemma and Lebesgue’s convergence theorem for measures. Zbl 0961.28002Hernández-Lerma, Onésimo; Lasserre, Jean B. 10 2000 The fundamental matrix of singularly perturbed Markov chains. Zbl 0947.60073Avrachenkov, Konstantin E.; Lasserre, Jean B. 10 1999 A trace inequality for matrix product. Zbl 0835.15013Lasserre, Jean B. 10 1995 Value iteration and rolling plans for Markov control processes with unbounded rewards. Zbl 0781.90093Hernández-Lerma, Onésimo; Lasserre, Jean B. 10 1993 Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. Zbl 1402.90136Weisser, Tillmann; Lasserre, Jean B.; Toh, Kim-Chuan 9 2018 On convex optimization without convex representation. Zbl 1229.90125Lasserre, Jean B. 9 2011 Lot streaming in job-shop scheduling. Zbl 0887.90086Dauzère-Pérès, Stéphane; Lasserre, Jean-Bernard 9 1997 A forecast horizon and a stopping rule for general Markov decision processes. Zbl 0646.90090Hernández-Lerma, O.; Lasserre, J. B. 9 1988 Bound-constrained polynomial optimization using only elementary calculations. Zbl 1371.90099de Klerk, Etienne; Lasserre, Jean B.; Laurent, Monique; Sun, Zhao 8 2017 The \(K\)-moment problem for continuous linear functionals. Zbl 1275.44003Lasserre, Jean B. 8 2013 An algorithm for semi-infinite polynomial optimization. Zbl 1285.90076Lasserre, J. B. 8 2012 Robust global optimization with polynomials. Zbl 1134.90031Lasserre, Jean B. 8 2006 Mathematical properties of optimization problems defined by positively homogeneous functions. Zbl 1049.90064Lasserre, J. B.; Hiriart-Urruty, J. B. 8 2002 Solving a class of multivariate integration problems via Laplace techniques. Zbl 1008.65016Lasserre, Jean B.; Zeron, Eduardo S. 8 2001 Strong 1-optimal stationary policies in denumerable Markov decision processes. Zbl 0654.90097Cavazos-Cadena, R.; Lasserre, J. B. 8 1988 Exact solutions to super resolution on semi-algebraic domains in higher dimensions. Zbl 1359.94030De Castro, Yohann; Gamboa, F.; Henrion, Didier; Lasserre, J.-B. 7 2017 Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard 7 2015 Convex underestimators of polynomials. Zbl 1273.90160Lasserre, Jean B.; Thanh, Tung Phan 7 2013 Analytic perturbation of generalized inverses. Zbl 1347.15006Avrachenkov, Konstantin E.; Lasserre, Jean B. 7 2013 Positivity and optimization for semi-algebraic functions. Zbl 1210.14068Lasserre, Jean B.; Putinar, Mihai 7 2010 Representation of nonnegative convex polynomials. Zbl 1159.14033Lasserre, Jean B. 7 2008 Sufficient conditions for a real polynomial to be a sum of squares. Zbl 1149.11018Lasserre, Jean B. 7 2007 A sum of squares approximation of nonnegative polynomials. Zbl 1129.12004Lasserre, Jean B. 7 2007 On the importance of sequencing decisions in production planning and scheduling. Zbl 1044.90034Dauzére-Pérès, Stéphane; Lasserre, Jean-Bernard 7 2002 On the existence of a quasistationary measure for a Markov chain. Zbl 1018.60071Lasserre, Jean B.; Pearce, Charles E. M. 7 2001 The multi-dimensional version of \(\int^b_a x^p dx\). Zbl 1005.26008Lasserre, Jean B.; Avrachenkov, Konstantin E. 7 2001 Invariant probabilities for Markov chains on a metric space. Zbl 0894.60071Lasserre, Jean B. 7 1997 Policy iteration for average cost Markov control processes on Borel spaces. Zbl 0872.93080Hernández-Lerma, Onésimo; Lasserre, Jean B. 7 1997 Average cost Markov decision processes: Optimality conditions. Zbl 0739.90072Hernández-Lerma, O.; Hennet, J. C.; Lasserre, J. B. 7 1991 Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S. 6 2016 Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard 6 2014 A prolongation-projection algorithm for computing the finite real variety of an ideal. Zbl 1172.14036Lasserre, Jean B.; Laurent, Monique; Rostalski, Philipp 6 2009 A unified approach to computing real and complex zeros of zero-dimensional ideals. Zbl 1171.12001Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp 6 2009 Sum of squares approximation of polynomials, nonnegative on a real algebraic set. Zbl 1093.14078Lasserre, Jean B. 6 2005 On counting integral points in a convex rational polytope. Zbl 1082.52009Lasserre, Jean B.; Zeron, Eduardo S. 6 2003 The linear programming approach. Zbl 1038.90051Hernández-Lerma, Onésimo; Lasserre, Jean B. 6 2002 Linear programming and average optimality of Markov control processes on Borel spaces – unbounded costs. Zbl 0799.90120Hernández-Lerma, Onésimo; Lasserre, Jean B. 6 1994 Conditions for existence of average and Blackwell optimal stationary policies in denumerable Markov decision processes. Zbl 0659.90094Lasserre, J. B. 6 1988 An on-line procedure in discounted infinite-horizon stochastic optimal control. Zbl 0571.93072Bes, C.; Lasserre, J. B. 6 1986 A globally convergent algorithm for exact penalty functions. Zbl 0454.90061Lasserre, J. B. 6 1981 A Lagrangian relaxation view of linear and semidefinite hierarchies. Zbl 1282.90139Lasserre, Jean B. 5 2013 Linear programming with positive semi-definite matrices. Zbl 0919.90108Lasserre, J. B. 5 1996 A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard 2 2020 Approximate optimal designs for multivariate polynomial regression. Zbl 1417.62219De Castro, Yohann; Gamboa, Fabrice; Henrion, Didier; Hess, Roxana; Lasserre, Jean-Bernard 3 2019 On moment problems with holonomic functions. Zbl 07246231Bréhard, Florent; Joldes, Mioara; Lasserre, Jean-Bernard 1 2019 Computation of Chebyshev polynomials for union of intervals. Zbl 1436.30004Foucart, Simon; Lasserre, Jean Bernard 1 2019 Volume of sublevel sets of homogeneous polynomials. Zbl 07110732Lasserre, Jean B. 1 2019 In SDP relaxations, inaccurate solvers do robust optimization. Zbl 1421.90109Lasserre, Jean-Bernard; Magron, Victor 1 2019 The empirical Christoffel function with applications in data analysis. Zbl 1425.62079Lasserre, Jean B.; Pauwels, Edouard 1 2019 Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Zbl 1417.90112Josz, Cédric; Lasserre, Jean Bernard; Mourrain, Bernard 1 2019 Sparse-BSOS: a bounded degree SOS hierarchy for large scale polynomial optimization with sparsity. Zbl 1402.90136Weisser, Tillmann; Lasserre, Jean B.; Toh, Kim-Chuan 9 2018 The moment-SOS hierarchy. Zbl 1451.90130Lasserre, Jean B. 1 2018 Determining projection constants of univariate polynomial spaces. Zbl 1407.90248Foucart, Simon; Lasserre, Jean B. 1 2018 A bounded degree SOS hierarchy for polynomial optimization. Zbl 1368.90132Lasserre, Jean B.; Toh, Kim-Chuan; Yang, Shouguang 17 2017 Bound-constrained polynomial optimization using only elementary calculations. Zbl 1371.90099de Klerk, Etienne; Lasserre, Jean B.; Laurent, Monique; Sun, Zhao 8 2017 Exact solutions to super resolution on semi-algebraic domains in higher dimensions. Zbl 1359.94030De Castro, Yohann; Gamboa, F.; Henrion, Didier; Lasserre, J.-B. 7 2017 Computing Gaussian & exponential measures of semi-algebraic sets. Zbl 1370.28002Lasserre, Jean B. 2 2017 Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems. Zbl 1333.90088Jeyakumar, V.; Lasserre, J. B.; Li, G.; Phạm, T. S. 6 2016 A MAX-CUT formulation of 0/1 programs. Zbl 1408.90222Lasserre, Jean B. 4 2016 Linear conic optimization for inverse optimal control. Zbl 1342.93063Pauwels, Edouard; Henrion, Didier; Lasserre, Jean-Bernard 4 2016 Minimizing the sum of many rational functions. Zbl 1364.90268Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard 2 2016 Lebesgue decomposition in action via semidefinite relaxations. Zbl 1353.90085Lasserre, Jean B. 1 2016 Semidefinite approximations of the polynomial abscissa. Zbl 1351.90127Heß, Roxana; Henrion, Didier; Lasserre, Jean-Bernard; Phạm, Tien Son 1 2016 An introduction to polynomial and semi-algebraic optimization. Zbl 1320.90003Lasserre, Jean Bernard 22 2015 Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra. Zbl 1336.65020Chin, Eric B.; Lasserre, Jean B.; Sukumar, N. 16 2015 Semidefinite approximations of projections and polynomial images of semialgebraic sets. Zbl 1327.14241Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard 7 2015 Algebraic-exponential data recovery from moments. Zbl 1342.14118Lasserre, Jean Bernard; Putinar, Mihai 4 2015 Tractable approximations of sets defined with quantifiers. Zbl 1328.90100Lasserre, Jean B. 3 2015 A generalization of Löwner-John’s ellipsoid theorem. Zbl 1337.90049Lasserre, Jean B. 2 2015 Moments and Legendre-Fourier series for measures supported on curves. Zbl 1325.42032Lasserre, Jean B. 1 2015 Volume of slices and sections of the simplex in closed form. Zbl 1400.52006Lasserre, Jean B. 1 2015 Rank-constrained fundamental matrix estimation by polynomial global optimization versus the eight-point algorithm. Zbl 1330.68288Bugarin, Florian; Bartoli, Adrien; Henrion, Didier; Lasserre, Jean-Bernard; Orteu, Jean-José; Sentenac, Thierry 1 2015 On polynomial optimization over non-compact semi-algebraic sets. Zbl 1302.90208Jeyakumar, V.; Lasserre, J. B.; Li, G. 15 2014 New approximations for the cone of copositive matrices and its dual. Zbl 1292.15034Lasserre, Jean B. 10 2014 Measures and LMIs for impulsive nonlinear optimal control. Zbl 1360.93492Claeys, Mathieu; Arzelier, Denis; Henrion, Didier; Lasserre, Jean-Bernard 6 2014 A unified framework for solving a general class of conditional and robust set-membership estimation problems. Zbl 1360.93330Cerone, Vito; Lasserre, Jean-Bernard; Piga, Dario; Regruto, Diego 4 2014 Erratum to: “On convex optimization without convex representation”. Zbl 1303.90081Lasserre, Jean B. 4 2014 Approximating Pareto curves using semidefinite relaxations. Zbl 1408.90273Magron, Victor; Henrion, Didier; Lasserre, Jean-Bernard 3 2014 Lower bounds on the global minimum of a polynomial. Zbl 1304.90163Ghasemi, M.; Lasserre, J. B.; Marshall, M. 3 2014 Mean squared error minimization for inverse moment problems. Zbl 1297.49064Henrion, Didier; Lasserre, Jean B.; Mevissen, Martin 2 2014 Exploiting symmetries in SDP-relaxations for polynomial optimization. Zbl 1291.90167Riener, Cordian; Theobald, Thorsten; Andrén, Lina Jansson; Lasserre, Jean B. 18 2013 Moment matrices, border bases and real radical computation. Zbl 1276.13021Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe 12 2013 The \(K\)-moment problem for continuous linear functionals. Zbl 1275.44003Lasserre, Jean B. 8 2013 Convex underestimators of polynomials. Zbl 1273.90160Lasserre, Jean B.; Thanh, Tung Phan 7 2013 Analytic perturbation of generalized inverses. Zbl 1347.15006Avrachenkov, Konstantin E.; Lasserre, Jean B. 7 2013 A Lagrangian relaxation view of linear and semidefinite hierarchies. Zbl 1282.90139Lasserre, Jean B. 5 2013 Recovering an homogeneous polynomial from moments of its level set. Zbl 1311.44009Lasserre, Jean B. 3 2013 Borel measures with a density on a compact semi-algebraic set. Zbl 1281.44010Lasserre, Jean B. 1 2013 Handbook on semidefinite, conic and polynomial optimization. Zbl 1235.90002Anjos, Miguel F. (ed.); Lasserre, Jean B. (ed.) 58 2012 Introduction to semidefinite, conic and polynomial optimization. Zbl 1334.90095Anjos, Miguel F.; Lasserre, Jean B. 11 2012 The inverse moment problem for convex polytopes. Zbl 1285.68198Gravin, Nick; Lasserre, Jean; Pasechnik, Dmitrii V.; Robins, Sinai 11 2012 Inner approximations for polynomial matrix inequalities and robust stability regions. Zbl 1369.93460Henrion, Didier; Lasserre, Jean-Bernard 10 2012 An algorithm for semi-infinite polynomial optimization. Zbl 1285.90076Lasserre, J. B. 8 2012 Positivity and optimization: beyond polynomials. Zbl 1334.65103Lasserre, Jean B.; Putinar, Mihai 3 2012 The truncated K-moment problem for closure of open sets. Zbl 1282.47016Blekherman, G.; Lasserre, J. B. 3 2012 Semidefinite programming for min-max problems and games. Zbl 1242.90158Laraki, R.; Lasserre, J. B. 2 2012 Moments and positive polynomials for optimization. Zbl 1401.90149Lasserre, Jean B. 1 2012 A new look at nonnegativity on closed sets and polynomial optimization. Zbl 1242.90176Lasserre, Jean B. 22 2011 On convex optimization without convex representation. Zbl 1229.90125Lasserre, Jean B. 9 2011 Min-max and robust polynomial optimization. Zbl 1230.90194Lasserre, J. B. 4 2011 Bounding the support of a measure from its marginal moments. Zbl 1231.60004Lasserre, Jean B. 3 2011 Moments, positive polynomials and their applications. Zbl 1211.90007Lasserre, Jean Bernard 85 2010 On representations of the feasible set in convex optimization. Zbl 1180.90237Lasserre, Jean Bernard 25 2010 A “joint+marginal” approach to parametric polynomial optimization. Zbl 1204.65067Lasserre, Jean B. 12 2010 Positivity and optimization for semi-algebraic functions. Zbl 1210.14068Lasserre, Jean B.; Putinar, Mihai 7 2010 Certificates of convexity for basic semi-algebraic sets. Zbl 1192.90136Lasserre, J. B. 1 2010 GloptiPoly 3: moments, optimization and semidefinite programming. Zbl 1178.90277Henrion, Didier; Lasserre, Jean-Bernard; Löfberg, Johan 146 2009 Convexity in semialgebraic geometry and polynomial optimization. Zbl 1181.90216Lasserre, Jean B. 31 2009 Convex sets with semidefinite representation. Zbl 1198.14055Lasserre, Jean B. 24 2009 Approximate volume and integration for basic semialgebraic sets. Zbl 1179.14037Henrion, D.; Lasserre, J. B.; Savorgnan, C. 20 2009 Moments and sums of squares for polynomial optimization and related problems. Zbl 1177.90324Lasserre, Jean B. 11 2009 A prolongation-projection algorithm for computing the finite real variety of an ideal. Zbl 1172.14036Lasserre, Jean B.; Laurent, Monique; Rostalski, Philipp 6 2009 A unified approach to computing real and complex zeros of zero-dimensional ideals. Zbl 1171.12001Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp 6 2009 Linear and integer programming vs linear integration and counting. A duality viewpoint. Zbl 1188.90170Lasserre, Jean-Bernard 3 2009 Duality and a Farkas lemma for integer programs. Zbl 1182.49029Lasserre, Jean B. 2 2009 Nonlinear optimal control via occupation measures and LMI-relaxations. Zbl 1188.90193Lasserre, Jean B.; Henrion, Didier; Prieur, Christophe; Trélat, Emmanuel 45 2008 Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp 32 2008 A semidefinite programming approach to the generalized problem of moments. Zbl 1145.90049Lasserre, Jean B. 26 2008 Computing uniform convex approximations for convex envelopes and convex hulls. Zbl 1153.90011Laraki, Ride; Lasserre, Jean Bernard 12 2008 Representation of nonnegative convex polynomials. Zbl 1159.14033Lasserre, Jean B. 7 2008 Measures with zeros in the inverse of their moment matrix. Zbl 1169.15005Helton, J. William; Lasserre, Jean B.; Putinar, Mihai 3 2008 Approximating integrals of multivariate exponentials: A moment approach. Zbl 1160.65009Bertsimas, Dimitris; Doan, Xuan Vinh; Lasserre, Jean 3 2008 SOS approximations of nonnegative polynomials via simple high degree perturbations. Zbl 1122.13005Lasserre, Jean B.; Netzer, Tim 20 2007 Sufficient conditions for a real polynomial to be a sum of squares. Zbl 1149.11018Lasserre, Jean B. 7 2007 A sum of squares approximation of nonnegative polynomials. Zbl 1129.12004Lasserre, Jean B. 7 2007 Simple explicit formula for counting lattice points of polyhedra. Zbl 1136.90522Lasserre, Jean B.; Zeron, Eduardo S. 1 2007 Convergent SDP-relaxations in polynomial optimization with sparsity. Zbl 1119.90036Lasserre, Jean B. 54 2006 Convergent relaxations of polynomial matrix inequalities and static output feedback. Zbl 1366.93180Henrion, Didier; Lasserre, Jean-Bernard 49 2006 Pricing a class of exotic options via moments and SDP relaxations. Zbl 1133.91428Lasserre, J. B.; Prieto-Rumeau; Zervos, M. 17 2006 A sum of squares approximation of nonnegative polynomials. Zbl 1129.12003Lasserre, Jean B. 15 2006 Robust global optimization with polynomials. Zbl 1134.90031Lasserre, Jean B. 8 2006 LMIs for constrained polynomial interpolation with application in trajectory planning. Zbl 1129.93460Henrion, Didier; Lasserre, Jean-Bernard 3 2006 A moment approach to analyze zeros of triangular polynomial sets. Zbl 1129.26011Lasserre, Jean B. 1 2006 Detecting global optimality and extracting solutions in GloptiPoly. Zbl 1119.93301Henrion, Didier; Lassere, Jean-Bernard 65 2005 Sum of squares approximation of polynomials, nonnegative on a real algebraic set. Zbl 1093.14078Lasserre, Jean B. 6 2005 An alternative algorithm for counting lattice points in a convex polytope. Zbl 1082.05007Lasserre, Jean B.; Zeron, Eduardo S. 2 2005 Integer programming, duality and superadditive functions. Zbl 1082.90137Lasserre, Jean B. 2 2005 SDP vs. LP relaxations for the moment approach in some performance evaluation problems. Zbl 1067.60059Lasserre, Jean-Bernard; Prieto-Rumeau, Tomás 12 2004 Polynomial programming: LP-relaxations also converge. Zbl 1114.90086Lasserre, Jean B. 11 2004 A discrete Farkas lemma. Zbl 1087.90051Lasserre, Jean B. 4 2004 Integer programming, Barvinok’s counting algorithm and Gomory relaxations. Zbl 1060.90055Lasserre, Jean B. 4 2004 Generating functions and duality for integer programs. Zbl 1154.90549Lasserre, Jean B. 2 2004 ...and 97 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 Cited in 306 Serials 104 Mathematical Programming. Series A. 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English Series ...and 206 more Serials all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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