Abdrakhmanova, N. T.; Astashov, E. A. Simple germs of skew-symmetric matrix families with oddness or evenness properties. (English. Russian original) Zbl 1514.15017 J. Math. Sci., New York 270, No. 5, 625-639 (2023); translation from Probl. Mat. Anal. 123, 5-18 (2023). MSC: 15A21 15B57 PDFBibTeX XMLCite \textit{N. T. Abdrakhmanova} and \textit{E. A. Astashov}, J. Math. Sci., New York 270, No. 5, 625--639 (2023; Zbl 1514.15017); translation from Probl. Mat. Anal. 123, 5--18 (2023) Full Text: DOI
Krone, Robert; Kubjas, Kaie Uniqueness of nonnegative matrix factorizations by rigidity theory. (English) Zbl 1458.15028 SIAM J. Matrix Anal. Appl. 42, No. 1, 134-164 (2021). MSC: 15A23 15B48 14P10 52B05 14R20 PDFBibTeX XMLCite \textit{R. Krone} and \textit{K. Kubjas}, SIAM J. Matrix Anal. Appl. 42, No. 1, 134--164 (2021; Zbl 1458.15028) Full Text: DOI arXiv
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-XX 68-XX 90C22 15A23 PDFBibTeX XMLCite \textit{S. Gribling} et al., Found. Comput. Math. 19, No. 5, 1013--1070 (2019; Zbl 07118503) Full Text: DOI arXiv
Belitskii, Genrich; Kerner, Dmitry Finite determinacy of matrices over local rings. tangent modules to the miniversal deformation for \(R\)-linear group actions. (English) Zbl 1406.58022 J. Pure Appl. Algebra 223, No. 3, 1288-1321 (2019). Reviewer: Dorin Andrica (Riyadh) MSC: 58K40 58K50 32A19 14B07 15A21 PDFBibTeX XMLCite \textit{G. Belitskii} and \textit{D. Kerner}, J. Pure Appl. Algebra 223, No. 3, 1288--1321 (2019; Zbl 1406.58022) Full Text: DOI arXiv
Chistikov, Dmitry; Kiefer, Stefan; Marušić, Ines; Shirmohammadi, Mahsa; Worrell, James Nonnegative matrix factorization requires irrationality. (English) Zbl 1369.15020 SIAM J. Appl. Algebra Geom. 1, No. 1, 285-307 (2017). MSC: 15B48 15A23 52B05 PDFBibTeX XMLCite \textit{D. Chistikov} et al., SIAM J. Appl. Algebra Geom. 1, No. 1, 285--307 (2017; Zbl 1369.15020) Full Text: DOI arXiv
Fawzi, Hamza; Parrilo, Pablo A. Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank. (English) Zbl 1346.90662 Math. Program. 158, No. 1-2 (A), 417-465 (2016). MSC: 90C25 15A23 15B48 PDFBibTeX XMLCite \textit{H. Fawzi} and \textit{P. A. Parrilo}, Math. Program. 158, No. 1--2 (A), 417--465 (2016; Zbl 1346.90662) 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 PDFBibTeX XMLCite \textit{H. Fawzi} et al., Math. Program. 153, No. 1 (B), 133--177 (2015; Zbl 1327.90174) Full Text: DOI arXiv
Allman, Elizabeth S.; Rhodes, John A.; Sturmfels, Bernd; Zwiernik, Piotr Tensors of nonnegative rank two. (English) Zbl 1312.15033 Linear Algebra Appl. 473, 37-53 (2015). MSC: 15A69 62H17 14P10 PDFBibTeX XMLCite \textit{E. S. Allman} et al., Linear Algebra Appl. 473, 37--53 (2015; Zbl 1312.15033) Full Text: DOI arXiv
Padrol, Arnau; Pfeifle, Julian Polygons as sections of higher-dimensional polytopes. (English) Zbl 1312.52008 Electron. J. Comb. 22, No. 1, Research Paper P1.24, 16 p. (2015). Reviewer: Anna Romanowska (Warsaw) MSC: 52B99 90C57 15A23 PDFBibTeX XMLCite \textit{A. Padrol} and \textit{J. Pfeifle}, Electron. J. Comb. 22, No. 1, Research Paper P1.24, 16 p. (2015; Zbl 1312.52008) Full Text: arXiv Link