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

Tensor ranks on tangent developable of Segre varieties

E. Ballico Department of Mathematics, University of Trento, 38123 Povo (TN), Italy
&
A. Bernardi GALAAD of INRIA, 2004 route des Lucioles B.P. 93, Sophia Antipolis Cedex, FranceCorrespondence[email protected]
Pages 881-894 | Received 21 Jul 2011, Accepted 20 Jul 2012, Published online: 28 Aug 2012

Citations (16)

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Read on this site (3)

Edoardo Ballico & Alessandra Bernardi. (2019) On the ranks of the third secant variety of Segre–Veronese embeddings. Linear and Multilinear Algebra 67:3, pages 583-597.
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Alwin Stegeman & Shmuel Friedland. (2017) On best rank-2 and rank-(2,2,2) approximations of order-3 tensors. Linear and Multilinear Algebra 65:7, pages 1289-1310.
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Edoardo Ballico & Alessandra Bernardi. (2017) A uniqueness result on the decompositions of a bi-homogeneous polynomial. Linear and Multilinear Algebra 65:4, pages 677-698.
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Articles from other publishers (13)

Xiaoyu Song, Baodong Zheng & Riguang Huang. (2022) The symmetric rank and decomposition of m-order n-dimensional (n = 2,3,4) symmetric tensors over the binary field. Linear Algebra and its Applications 653, pages 1-32.
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M. Azeem Khadam & Martin Vodička. (2022) Cohen–Macaulay and Gorenstein tangential varieties of the Segre–Veronese varieties. Bulletin of the London Mathematical Society 54:5, pages 1721-1740.
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Edoardo Ballico. (2022) Examples on the Non-Uniqueness of the Rank 1 Tensor Decomposition of Rank 4 Tensors. Symmetry 14:9, pages 1889.
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Edoardo Ballico, Alessandra Bernardi & Pierpaola Santarsiero. (2021) Identifiability of Rank-3 Tensors. Mediterranean Journal of Mathematics 18:4.
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Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques & Bernard Mourrain. (2019) Skew-symmetric tensor decomposition. Communications in Contemporary Mathematics 23:02, pages 1950061.
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Alessandra Bernardi & Daniele Taufer. (2020) Waring, tangential and cactus decompositions. Journal de Mathématiques Pures et Appliquées 143, pages 1-30.
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Fulvio Gesmundo, Alessandro Oneto & Emanuele Ventura. (2019) Partially Symmetric Variants of Comon's Problem Via Simultaneous Rank. SIAM Journal on Matrix Analysis and Applications 40:4, pages 1453-1477.
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Alessandra Bernardi, Enrico Carlini, Maria Catalisano, Alessandro Gimigliano & Alessandro Oneto. (2018) The Hitchhiker Guide to: Secant Varieties and Tensor Decomposition. Mathematics 6:12, pages 314.
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Alex Casarotti, Alex Massarenti & Massimiliano Mella. (2018) On Comon’s and Strassen’s Conjectures. Mathematics 6:11, pages 217.
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Yaroslav Shitov. (2018) A Counterexample to Comon's Conjecture. SIAM Journal on Applied Algebra and Geometry 2:3, pages 428-443.
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Xinzhen Zhang, Zheng-Hai Huang & Liqun Qi. (2016) Comon's Conjecture, Rank Decomposition, and Symmetric Rank Decomposition of Symmetric Tensors. SIAM Journal on Matrix Analysis and Applications 37:4, pages 1719-1728.
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Alessandra Bernardi, Jérôme Brachat & Bernard Mourrain. (2014) A comparison of different notions of ranks of symmetric tensors. Linear Algebra and its Applications 460, pages 205-230.
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Luke Oeding & Claudiu Raicu. (2014) Tangential varieties of Segre?Veronese varieties. Collectanea Mathematica 65:3, pages 303-330.
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