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Linear and Multilinear Algebra Volume 61, 2013 - Issue 7
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Original Articles

Canonical forms of 2 × 2 × 2 and 2 × 2 × 2 × 2 arrays over 𝔽2 and 𝔽3

Murray R. Bremner Department of Mathematics and Statistics, University of Saskatchewan, CanadaCorrespondence[email protected]
&
Stavros G. Stavrou Department of Mathematics and Statistics, University of Saskatchewan, Canada
Pages 986-997 | Received 01 Dec 2011, Accepted 13 Aug 2012, Published online: 28 Sep 2012

Citations (10)

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Read on this site (3)

Stavros Georgios Stavrou & Richard M. Low. (2021) The maximum rank of 2 × ⋯ × 2 tensors over 𝔽2. Linear and Multilinear Algebra 69:3, pages 394-402.
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Stavros G. Stavrou, Richard M. Low & Nicholas J. Hernandez. (2016) Rank classification of tensors over . Linear and Multilinear Algebra 64:11, pages 2297-2312.
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Stavros Georgios Stavrou. (2015) Canonical forms of order-k (k = 2, 3, 4) symmetric tensors of format 3 × … × 3 over prime fields. Linear and Multilinear Algebra 63:6, pages 1111-1124.
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Articles from other publishers (7)

Michel Lavrauw & John Sheekey. (2022) The tensor rank of semifields of order 16 and 81. Linear Algebra and its Applications 643, pages 99-124.
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Denis Osipov & Joe H. Chow. (2020) PMU Missing Data Recovery Using Tensor Decomposition. IEEE Transactions on Power Systems 35:6, pages 4554-4563.
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Jérôme Boulmier, Frédéric Holweck, Maxime Pinard & Metod Saniga. (2019) Veldkamp Spaces of Low-Dimensional Ternary Segre Varieties. Results in Mathematics 74:1.
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Michel Lavrauw & John Sheekey. (2016) Classification of subspaces in $${{\mathbb{F}}^2\otimes {\mathbb{F}}^3}$$ F 2 ⊗ F 3 and orbits in $${{\mathbb{F}}^2\otimes{\mathbb{F}}^3 \otimes {\mathbb{F}}^r}$$ F 2 ⊗ F 3 ⊗ F r. Journal of Geometry 108:1, pages 5-23.
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Michel Lavrauw & John Sheekey. (2015) Canonical forms of tensors over the real field, algebraically closed fields, and finite fields . Linear Algebra and its Applications 476, pages 133-147.
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Michel Lavrauw & John Sheekey. (2014) Orbits of the stabiliser group of the Segre variety product of three projective lines. Finite Fields and Their Applications 26, pages 1-6.
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Murray R. Bremner & Jiaxiong Hu. (2013) On Kruskal’s theorem that every 3 × 3 × 3 array has rank at most 5. Linear Algebra and its Applications 439:2, pages 401-421.
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