Wang, Chu; Zhi, Lihong Lifts of non-compact convex sets and cone factorizations. (English) Zbl 07300309 J. Syst. Sci. Complex. 33, No. 5, 1632-1655 (2020). MSC: 52A05 PDF BibTeX XML Cite \textit{C. Wang} and \textit{L. Zhi}, J. Syst. Sci. Complex. 33, No. 5, 1632--1655 (2020; Zbl 07300309) Full Text: DOI
Gouveia, João; Macchia, Antonio; Thomas, Rekha R.; Wiebe, Amy Projectively unique polytopes and toric slack ideals. (English) Zbl 1434.52015 J. Pure Appl. Algebra 224, No. 5, Article ID 106229, 14 p. (2020). MSC: 52B20 13F20 52B99 PDF BibTeX XML Cite \textit{J. Gouveia} et al., J. Pure Appl. Algebra 224, No. 5, Article ID 106229, 14 p. (2020; Zbl 1434.52015) Full Text: DOI
Gribling, Sander; de Laat, David; Laurent, Monique Lower bounds on matrix factorization ranks via noncommutative polynomial optimization. (English) Zbl 07118503 Found. Comput. Math. 19, No. 5, 1013-1070 (2019). MSC: 65 68 90C22 15A23 PDF BibTeX XML Cite \textit{S. Gribling} et al., Found. Comput. Math. 19, No. 5, 1013--1070 (2019; Zbl 07118503) Full Text: DOI arXiv
Bohn, Adam; Faenza, Yuri; Fiorini, Samuel; Fisikopoulos, Vissarion; Macchia, Marco; Pashkovich, Kanstantsin Enumeration of 2-level polytopes. (English) Zbl 1414.05023 Math. Program. Comput. 11, No. 1, 173-210 (2019). Reviewer: Matthias Beck (San Francisco) MSC: 05A15 52B12 05C17 52B55 68W05 90C22 PDF BibTeX XML Cite \textit{A. Bohn} et al., Math. Program. Comput. 11, No. 1, 173--210 (2019; Zbl 1414.05023) Full Text: DOI
Kubjas, Kaie; Robeva, Elina; Robinson, Richard Z. Positive semidefinite rank and nested spectrahedra. (English) Zbl 1395.14041 Linear Multilinear Algebra 66, No. 10, 1952-1974 (2018). MSC: 14P10 15B48 15A23 PDF BibTeX XML Cite \textit{K. Kubjas} et al., Linear Multilinear Algebra 66, No. 10, 1952--1974 (2018; Zbl 1395.14041) Full Text: DOI arXiv
Aprile, Manuel; Cevallos, Alfonso; Faenza, Yuri On 2-level polytopes arising in combinatorial settings. (English) Zbl 1395.52018 SIAM J. Discrete Math. 32, No. 3, 1857-1886 (2018). MSC: 52B12 52B40 90C57 PDF BibTeX XML Cite \textit{M. Aprile} et al., SIAM J. Discrete Math. 32, No. 3, 1857--1886 (2018; Zbl 1395.52018) Full Text: DOI arXiv
Grande, Francesco; Padrol, Arnau; Sanyal, Raman Extension complexity and realization spaces of hypersimplices. (English) Zbl 1387.52042 Discrete Comput. Geom. 59, No. 3, 621-642 (2018). MSC: 52C45 90C57 52B12 15A23 PDF BibTeX XML Cite \textit{F. Grande} et al., Discrete Comput. Geom. 59, No. 3, 621--642 (2018; Zbl 1387.52042) Full Text: DOI arXiv
Goucha, António Pedro; Gouveia, João; Silva, Pedro M. On ranks of regular polygons. (English) Zbl 1384.52004 SIAM J. Discrete Math. 31, No. 4, 2612-2625 (2017). Reviewer: Christos Tatakis (Mitilini) MSC: 52B05 15A23 PDF BibTeX XML Cite \textit{A. P. Goucha} et al., SIAM J. Discrete Math. 31, No. 4, 2612--2625 (2017; Zbl 1384.52004) Full Text: DOI
Gouveia, João; Pashkovich, Kanstanstin; Robinson, Richard Z.; Thomas, Rekha R. Four-dimensional polytopes of minimum positive semidefinite rank. (English) Zbl 1360.52006 J. Comb. Theory, Ser. A 145, 184-226 (2017). MSC: 52B11 52B05 PDF BibTeX XML Cite \textit{J. Gouveia} et al., J. Comb. Theory, Ser. A 145, 184--226 (2017; Zbl 1360.52006) Full Text: DOI
Grande, Francesco; Sanyal, Raman Theta rank, levelness, and matroid minors. (English) Zbl 1354.05020 J. Comb. Theory, Ser. B 123, 1-31 (2017). MSC: 05B35 05C83 PDF BibTeX XML Cite \textit{F. Grande} and \textit{R. Sanyal}, J. Comb. Theory, Ser. B 123, 1--31 (2017; Zbl 1354.05020) Full Text: DOI arXiv
Fawzi, Hamza; Gouveia, João; Robinson, Richard Z. Rational and real positive semidefinite rank can be different. (English) Zbl 1408.15016 Oper. Res. Lett. 44, No. 1, 59-60 (2016). MSC: 15B48 PDF BibTeX XML Cite \textit{H. Fawzi} et al., Oper. Res. Lett. 44, No. 1, 59--60 (2016; Zbl 1408.15016) Full Text: DOI
Fiorini, Samuel; Fisikopoulos, Vissarion; Macchia, Marco Two-level polytopes with a prescribed facet. (English) Zbl 1397.52008 Cerulli, Raffaele (ed.) et al., Combinatorial optimization. 4th international symposium, ISCO 2016, Vietri sul Mare, Italy, May 16–18, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-45586-0/pbk; 978-3-319-45587-7/ebook). Lecture Notes in Computer Science 9849, 285-296 (2016). MSC: 52B12 90C27 PDF BibTeX XML Cite \textit{S. Fiorini} et al., Lect. Notes Comput. Sci. 9849, 285--296 (2016; Zbl 1397.52008) Full Text: DOI
Guterman, Alexander; Shitov, Yaroslav Rank functions of tropical matrices. (English) Zbl 1334.15004 Linear Algebra Appl. 498, 326-348 (2016). MSC: 15A03 15A23 15A80 PDF BibTeX XML Cite \textit{A. Guterman} and \textit{Y. Shitov}, Linear Algebra Appl. 498, 326--348 (2016; Zbl 1334.15004) Full Text: DOI
Kummer, Mario Two results on the size of spectrahedral descriptions. (English) Zbl 1375.14194 SIAM J. Optim. 26, No. 1, 589-601 (2016). MSC: 14P10 11C20 11E25 52A20 90C22 PDF BibTeX XML Cite \textit{M. Kummer}, SIAM J. Optim. 26, No. 1, 589--601 (2016; Zbl 1375.14194) Full Text: DOI arXiv
Shitov, Ya. N. Extended formulations for convex heptagons. (English. Russian original) Zbl 1345.52003 Dokl. Math. 92, No. 3, 707-708 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 3, 287-289 (2015). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A20 52B11 52A40 PDF BibTeX XML Cite \textit{Ya. N. Shitov}, Dokl. Math. 92, No. 3, 707--708 (2015; Zbl 1345.52003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 3, 287--289 (2015) Full Text: DOI
Bohn, Adam; Faenza, Yuri; Fiorini, Samuel; Fisikopoulos, Vissarion; Macchia, Marco; Pashkovich, Kanstantsin Enumeration of 2-level polytopes. (English) Zbl 1394.52008 Bansal, Nikhil (ed.) et al., Algorithms – ESA 2015. 23rd annual European symposium, Patras, Greece, September 14–16, 2015. Proceedings. Berlin: Springer (ISBN 978-3-662-48349-7/pbk; 978-3-662-48350-3/ebook). Lecture Notes in Computer Science 9294, 191-202 (2015). MSC: 52B05 05A15 52B55 68U05 PDF BibTeX XML Cite \textit{A. Bohn} et al., Lect. Notes Comput. Sci. 9294, 191--202 (2015; Zbl 1394.52008) Full Text: DOI arXiv
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A. Equivariant semidefinite lifts and sum-of-squares hierarchies. (English) Zbl 1327.90175 SIAM J. Optim. 25, No. 4, 2212-2243 (2015). MSC: 90C22 52B15 68Q17 PDF BibTeX XML Cite \textit{H. Fawzi} et al., SIAM J. Optim. 25, No. 4, 2212--2243 (2015; Zbl 1327.90175) Full Text: DOI arXiv
Gouveia, João; Robinson, Richard Z.; Thomas, Rekha R. Worst-case results for positive semidefinite rank. (English) Zbl 1344.90046 Math. Program. 153, No. 1 (B), 201-212 (2015). Reviewer: Didier Henrion (Toulouse) MSC: 90C22 52B11 15A23 PDF BibTeX XML Cite \textit{J. Gouveia} et al., Math. Program. 153, No. 1 (B), 201--212 (2015; Zbl 1344.90046) Full Text: DOI arXiv
Fawzi, Hamza; Gouveia, João; Parrilo, Pablo A.; Robinson, Richard Z.; Thomas, Rekha R. Positive semidefinite rank. (English) Zbl 1327.90174 Math. Program. 153, No. 1 (B), 133-177 (2015). MSC: 90C22 15A23 68Q17 PDF BibTeX XML Cite \textit{H. Fawzi} et al., Math. Program. 153, No. 1 (B), 133--177 (2015; Zbl 1327.90174) Full Text: DOI arXiv
Fawzi, Hamza; Parrilo, Pablo A. Lower bounds on nonnegative rank via nonnegative nuclear norms. (English) Zbl 1327.90202 Math. Program. 153, No. 1 (B), 41-66 (2015). MSC: 90C25 15A23 15B48 PDF BibTeX XML Cite \textit{H. Fawzi} and \textit{P. A. Parrilo}, Math. Program. 153, No. 1 (B), 41--66 (2015; Zbl 1327.90202) Full Text: DOI arXiv
Bhardwaj, Avinash; Rostalski, Philipp; Sanyal, Raman Deciding polyhedrality of spectrahedra. (English) Zbl 1330.90068 SIAM J. Optim. 25, No. 3, 1873-1884 (2015). MSC: 90C22 52A27 PDF BibTeX XML Cite \textit{A. Bhardwaj} et al., SIAM J. Optim. 25, No. 3, 1873--1884 (2015; Zbl 1330.90068) Full Text: DOI arXiv
Shitov, Yaroslav An upper bound for nonnegative rank. (English) Zbl 1316.52020 J. Comb. Theory, Ser. A 122, 126-132 (2014). MSC: 52B11 15B36 PDF BibTeX XML Cite \textit{Y. Shitov}, J. Comb. Theory, Ser. A 122, 126--132 (2014; Zbl 1316.52020) Full Text: DOI arXiv