Edit Profile (opens in new tab) Gouveia, Joao Co-Author Distance Author ID: gouveia.joao Published as: Gouveia, João; Gouveia, Joao; Gouveia, Joaõ more...less External Links: ORCID Documents Indexed: 29 Publications since 2010 Co-Authors: 22 Co-Authors with 27 Joint Publications 413 Co-Co-Authors all top 5 Co-Authors 0 single-authored 15 Thomas, Rekha R. 7 Robinson, Richard Z. 6 Parrilo, Pablo A. 4 Macchia, Antonio 4 Wiebe, Amy 3 Fawzi, Hamza 2 Goucha, António Pedro 2 Pfeiffer, James 2 Pong, Ting Kei 2 Saee, Mina 1 Blekherman, Grigoriy 1 Bogart, Tristram 1 Grappe, Roland 1 Kaibel, Volker 1 Kovačec, Alexander 1 Laurent, Monique 1 Lourenço, Bruno F. 1 Netzer, Tim 1 Pashkovich, Kanstanstin 1 Pashkovich, Kanstantsin 1 Saunderson, James 1 Silva, Pedro M. 1 Torres, Juan Camilo all top 5 Serials 4 Mathematical Programming. Series A. Series B 3 Discrete & Computational Geometry 2 Journal of Pure and Applied Algebra 2 Operations Research Letters 2 SIAM Journal on Discrete Mathematics 2 SIAM Journal on Optimization 1 Journal of Combinatorial Theory. Series A 1 Mathematics of Operations Research 1 Mathematische Zeitschrift 1 Boletim da Sociedade Portuguesa de Matemática 1 Journal of Symbolic Computation 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Global Optimization 1 Linear Algebra and its Applications 1 SIAM Review 1 Computational Optimization and Applications 1 SIAM Journal on Applied Algebra and Geometry 1 Information Geometry all top 5 Fields 17 Convex and discrete geometry (52-XX) 17 Operations research, mathematical programming (90-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 3 Combinatorics (05-XX) 2 Number theory (11-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 350 times in 186 Documents Cited by ▼ Year ▼ Lifts of convex sets and cone factorizations. Zbl 1291.90172Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R. 77 2013 Theta bodies for polynomial ideals. Zbl 1213.90190Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R. 62 2010 Positive semidefinite rank. Zbl 1327.90174Fawzi, Hamza; Gouveia, João; Parrilo, Pablo A.; Robinson, Richard Z.; Thomas, Rekha R. 40 2015 Polytopes of minimum positive semidefinite rank. Zbl 1279.52023Gouveia, João; Robinson, Richard Z.; Thomas, Rekha R. 27 2013 Which nonnegative matrices are slack matrices? Zbl 1283.15103Gouveia, João; Grappe, Roland; Kaibel, Volker; Pashkovich, Kanstantsin; Robinson, Richard Z.; Thomas, Rekha R. 19 2013 Worst-case results for positive semidefinite rank. Zbl 1344.90046Gouveia, João; Robinson, Richard Z.; Thomas, Rekha R. 17 2015 Positive polynomials and projections of spectrahedra. Zbl 1231.13021Gouveia, João; Netzer, Tim 16 2011 Four-dimensional polytopes of minimum positive semidefinite rank. Zbl 1360.52006Gouveia, João; Pashkovich, Kanstanstin; Robinson, Richard Z.; Thomas, Rekha R. 16 2017 A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs. Zbl 1262.90123Gouveia, João; Laurent, Monique; Parrilo, Pablo A.; Thomas, Rekha 13 2012 Sums of squares on the hypercube. Zbl 1375.14187Blekherman, Grigoriy; Gouveia, João; Pfeiffer, James 10 2016 The slack realization space of a polytope. Zbl 1423.52032Gouveia, João; Macchia, Antonio; Thomas, Rekha R.; Wiebe, Amy 9 2019 Convex hulls of algebraic sets. Zbl 1334.90102Gouveia, João; Thomas, Rekha 7 2012 Projectively unique polytopes and toric slack ideals. Zbl 1434.52015Gouveia, João; Macchia, Antonio; Thomas, Rekha R.; Wiebe, Amy 6 2020 Inner approximating the completely positive cone via the cone of scaled diagonally dominant matrices. Zbl 1435.90114Gouveia, João; Pong, Ting Kei; Saee, Mina 6 2020 Rational and real positive semidefinite rank can be different. Zbl 1408.15016Fawzi, Hamza; Gouveia, João; Robinson, Richard Z. 5 2016 On ranks of regular polygons. Zbl 1384.52004Goucha, António Pedro; Gouveia, João; Silva, Pedro M. 4 2017 Spectrahedral approximations of convex hulls of algebraic sets. Zbl 1360.90189Gouveia, João; Thomas, Rekha R. 3 2013 Approximate cone factorizations and lifts of polytopes. Zbl 1319.52010Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R. 3 2015 Comparing SOS and SDP relaxations of sensor network localization. Zbl 1259.90063Gouveia, João; Pong, Ting Kei 2 2012 Lifting for simplicity: concise descriptions of convex sets. Zbl 1500.52002Fawzi, Hamza; Gouveia, Joao; Parrilo, Pablo A.; Saunderson, James; Thomas, Rekha R. 2 2022 On sums of squares of \(K\)-nomials. Zbl 1477.13048Gouveia, João; Kovačec, Alexander; Saee, Mina 2 2022 The phaseless rank of a matrix. Zbl 1510.14045Goucha, António Pedro; Gouveia, Joaõ 2 2021 General non-realizability certificates for spheres with linear programming. Zbl 1493.05061Gouveia, João; Macchia, Antonio; Wiebe, Amy 1 2023 Combining realization space models of polytopes. Zbl 1509.52013Gouveia, João; Macchia, Antonio; Wiebe, Amy 1 2023 General non-realizability certificates for spheres with linear programming. Zbl 1493.05061Gouveia, João; Macchia, Antonio; Wiebe, Amy 1 2023 Combining realization space models of polytopes. Zbl 1509.52013Gouveia, João; Macchia, Antonio; Wiebe, Amy 1 2023 Lifting for simplicity: concise descriptions of convex sets. Zbl 1500.52002Fawzi, Hamza; Gouveia, Joao; Parrilo, Pablo A.; Saunderson, James; Thomas, Rekha R. 2 2022 On sums of squares of \(K\)-nomials. Zbl 1477.13048Gouveia, João; Kovačec, Alexander; Saee, Mina 2 2022 The phaseless rank of a matrix. Zbl 1510.14045Goucha, António Pedro; Gouveia, Joaõ 2 2021 Projectively unique polytopes and toric slack ideals. Zbl 1434.52015Gouveia, João; Macchia, Antonio; Thomas, Rekha R.; Wiebe, Amy 6 2020 Inner approximating the completely positive cone via the cone of scaled diagonally dominant matrices. Zbl 1435.90114Gouveia, João; Pong, Ting Kei; Saee, Mina 6 2020 The slack realization space of a polytope. Zbl 1423.52032Gouveia, João; Macchia, Antonio; Thomas, Rekha R.; Wiebe, Amy 9 2019 Four-dimensional polytopes of minimum positive semidefinite rank. Zbl 1360.52006Gouveia, João; Pashkovich, Kanstanstin; Robinson, Richard Z.; Thomas, Rekha R. 16 2017 On ranks of regular polygons. Zbl 1384.52004Goucha, António Pedro; Gouveia, João; Silva, Pedro M. 4 2017 Sums of squares on the hypercube. Zbl 1375.14187Blekherman, Grigoriy; Gouveia, João; Pfeiffer, James 10 2016 Rational and real positive semidefinite rank can be different. Zbl 1408.15016Fawzi, Hamza; Gouveia, João; Robinson, Richard Z. 5 2016 Positive semidefinite rank. Zbl 1327.90174Fawzi, Hamza; Gouveia, João; Parrilo, Pablo A.; Robinson, Richard Z.; Thomas, Rekha R. 40 2015 Worst-case results for positive semidefinite rank. Zbl 1344.90046Gouveia, João; Robinson, Richard Z.; Thomas, Rekha R. 17 2015 Approximate cone factorizations and lifts of polytopes. Zbl 1319.52010Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R. 3 2015 Lifts of convex sets and cone factorizations. Zbl 1291.90172Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R. 77 2013 Polytopes of minimum positive semidefinite rank. Zbl 1279.52023Gouveia, João; Robinson, Richard Z.; Thomas, Rekha R. 27 2013 Which nonnegative matrices are slack matrices? Zbl 1283.15103Gouveia, João; Grappe, Roland; Kaibel, Volker; Pashkovich, Kanstantsin; Robinson, Richard Z.; Thomas, Rekha R. 19 2013 Spectrahedral approximations of convex hulls of algebraic sets. Zbl 1360.90189Gouveia, João; Thomas, Rekha R. 3 2013 A new semidefinite programming hierarchy for cycles in binary matroids and cuts in graphs. Zbl 1262.90123Gouveia, João; Laurent, Monique; Parrilo, Pablo A.; Thomas, Rekha 13 2012 Convex hulls of algebraic sets. Zbl 1334.90102Gouveia, João; Thomas, Rekha 7 2012 Comparing SOS and SDP relaxations of sensor network localization. Zbl 1259.90063Gouveia, João; Pong, Ting Kei 2 2012 Positive polynomials and projections of spectrahedra. Zbl 1231.13021Gouveia, João; Netzer, Tim 16 2011 Theta bodies for polynomial ideals. Zbl 1213.90190Gouveia, João; Parrilo, Pablo A.; Thomas, Rekha R. 62 2010 all cited Publications top 5 cited Publications all top 5 Cited by 242 Authors 17 Gouveia, Joao 12 Parrilo, Pablo A. 12 Thomas, Rekha R. 11 Fawzi, Hamza 11 Saunderson, James 11 Shitov, Yaroslav Nikolaevich 7 Chandrasekaran, Venkat 7 Fiorini, Samuel 6 Faenza, Yuri 6 Laurent, Monique 6 Pokutta, Sebastian 6 Robinson, Richard Z. 6 Wiebe, Amy 5 Macchia, Antonio 5 Macchia, Marco 5 Mastrolilli, Monaldo 5 Sanyal, Raman 5 Scheiderer, Claus 5 Tunçel, Levent 4 Gillis, Nicolas 4 Glineur, François 4 Helton, John William 4 Klep, Igor 4 Nie, Jiawang 4 Pashkovich, Kanstantsin 4 Soh, Yong Sheng 3 Aprile, Manuel 3 Blekherman, Grigoriy 3 Braun, Gábor 3 de Wolf, Ronald Michiel 3 Fisikopoulos, Vissarion 3 Grande, Francesco 3 Gribling, Sander 3 Kurpisz, Adam 3 Leppänen, Samuli 3 Lourenço, Bruno F. 3 McCullough, Scott A. 3 Netzer, Tim 3 Padrol, Arnau 3 Sinn, Rainer 3 Vandaele, Arnaud 3 Weltge, Stefan 2 Ahmadi, Amir Ali 2 Au, Yu-Hin 2 Averkov, Gennadiy 2 Bharathi, Arpitha P. 2 Bohn, Adam 2 Cevallos, Alfonso 2 Cifuentes, Diego 2 de Laat, David 2 de Las Cuevas, Gemma 2 Gaar, Elisabeth 2 Goucha, António Pedro 2 Guo, Feng 2 Heinosaari, Teiko 2 Kaibel, Volker 2 Kellner, Kai 2 Kerppo, Oskari 2 Klingler, Andreas 2 Kriel, Tom-Lukas 2 Lee, Troy 2 Ohsugi, Hidefumi 2 Omar, Mohamed 2 Pfeiffer, James 2 Prakash, Anupam 2 Roshchina, Vera 2 Schweighofer, Markus 2 Theobald, Thorsten 2 Varvitsiotis, Antonios E. 2 Velasco, Mauricio 2 Wang, Chu 2 Wei, Zhaohui 2 Willsky, Alan Steven 2 Wolkowicz, Henry 2 Xu, Yi 2 Yan, Xihong 2 Yildirim, Emre Alper 2 Zhi, Lihong 2 Zink, Daniel 1 Abbasi, Paria 1 Agarwal, Sameer 1 Allamigeon, Xavier 1 Bachoc, Christine 1 Behboodi, Arash 1 Belotti, Mara 1 Bertsimas, Dimitris John 1 Bettiol, Enrico 1 Bezdek, Károly 1 Bhardwaj, Avinash 1 Bogart, Tristram 1 Bomze, Immanuel M. 1 Brandt, Madeline 1 Briët, Jop 1 Brown-Cohen, Jonah 1 Candogan, Utkan Onur 1 Chandrasekeran, Venkat 1 Chappell, Thomas 1 Conforti, Michele 1 Coons, Jane Ivy 1 Cory-Wright, Ryan ...and 142 more Authors all top 5 Cited in 62 Serials 29 Mathematical Programming. Series A. Series B 18 SIAM Journal on Optimization 11 Discrete & Computational Geometry 10 SIAM Journal on Applied Algebra and Geometry 8 Linear Algebra and its Applications 7 SIAM Journal on Discrete Mathematics 6 Journal of Symbolic Computation 6 Foundations of Computational Mathematics 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Journal of Combinatorial Theory. Series A 3 Mathematics of Operations Research 3 Journal of Global Optimization 3 Computational Optimization and Applications 2 Linear and Multilinear Algebra 2 Journal of Combinatorial Theory. Series B 2 Journal of Pure and Applied Algebra 2 Transactions of the American Mathematical Society 2 Operations Research Letters 2 SIAM Review 2 The Electronic Journal of Combinatorics 2 Vietnam Journal of Mathematics 2 Journal of the European Mathematical Society (JEMS) 2 Optimization Letters 2 Journal of Physics A: Mathematical and Theoretical 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Fuzzy Sets and Systems 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 SIAM Journal on Computing 1 European Journal of Combinatorics 1 Optimization 1 Computers & Operations Research 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Applicable Algebra in Engineering, Communication and Computing 1 Applied and Computational Harmonic Analysis 1 Izvestiya: Mathematics 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Journal of the ACM 1 Journal of Systems Science and Complexity 1 Journal of Machine Learning Research (JMLR) 1 Acta Numerica 1 Discrete Optimization 1 Mathematics in Computer Science 1 Foundations and Trends in Communications and Information Theory 1 Journal of Commutative Algebra 1 Mathematical Programming Computation 1 EURO Journal on Computational Optimization 1 Journal of the Operations Research Society of China 1 Research in the Mathematical Sciences 1 Algebraic Combinatorics all top 5 Cited in 28 Fields 119 Operations research, mathematical programming (90-XX) 71 Convex and discrete geometry (52-XX) 48 Linear and multilinear algebra; matrix theory (15-XX) 37 Algebraic geometry (14-XX) 29 Computer science (68-XX) 23 Combinatorics (05-XX) 18 Commutative algebra (13-XX) 16 Quantum theory (81-XX) 13 Numerical analysis (65-XX) 8 Functional analysis (46-XX) 7 Information and communication theory, circuits (94-XX) 6 Statistics (62-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Number theory (11-XX) 4 Field theory and polynomials (12-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year