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Original Articles

The rank of a 2 × 2 × 2 tensor

Pages 943-950 | Received 19 May 2009, Accepted 05 Nov 2010, Published online: 14 Apr 2011

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Read on this site (5)

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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Xu Kong & Yao-Lin Jiang. (2013) A note on the ranks of 2 × 2 × 2 and 2 × 2 × 2 × 2 tensors. Linear and Multilinear Algebra 61:10, pages 1348-1362.
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Carla D. Martin & Mason A. Porter. (2012) The Extraordinary SVD. The American Mathematical Monthly 119:10, pages 838-851.
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Murray R. Bremner. (2012) On the hyperdeterminant for 2×2×3 arrays. Linear and Multilinear Algebra 60:8, pages 921-932.
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Articles from other publishers (7)

Cong Chen, Kim Batselier & Ngai Wong. 2022. Tensors for Data Processing. Tensors for Data Processing 249 291 .
Le Han, Zhen Wu, Kui Zeng & Xiaowei Yang. (2018) Online multilinear principal component analysis. Neurocomputing 275, pages 888-896.
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Xiaolan Liu, Tengjiao Guo, Lifang He & Xiaowei Yang. (2015) A Low-Rank Approximation-Based Transductive Support Tensor Machine for Semisupervised Classification. IEEE Transactions on Image Processing 24:6, pages 1825-1838.
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Tengjiao Guo, Le Han, Lifang He & Xiaowei Yang. (2014) A GA-based feature selection and parameter optimization for linear support higher-order tensor machine. Neurocomputing 144, pages 408-416.
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Zhifeng Hao, Lifang He, Bingqian Chen & Xiaowei Yang. (2013) A Linear Support Higher-Order Tensor Machine for Classification. IEEE Transactions on Image Processing 22:7, pages 2911-2920.
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Murray R. Bremner, Mikelis G. Bickis & Mohsen Soltanifar. (2012) Cayley’s hyperdeterminant: A combinatorial approach via representation theory. Linear Algebra and its Applications 437:1, pages 94-112.
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Sebastian Pfeiffer, Michael Mai, Wolfgang Globke & Jan Calliess. (2009) On generalized separation and the speedup of local operators on multi-dimensional signals. On generalized separation and the speedup of local operators on multi-dimensional signals.

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