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Communications in Algebra Volume 36, 2008 - Issue 2
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Original Articles

Generalizations of Strassen's Equations for Secant Varieties of Segre Varieties

J. M. Landsberg Department of Mathematics, Texas A&M University, College Station, Texas, USACorrespondence[email protected]
&
L. Manivel Institut Fourier, Université de Grenoble I, Grenoble, France
Pages 405-422 | Received 31 Oct 2004, Published online: 07 Apr 2008

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DanielJ. Bates & Luke Oeding. (2011) Toward a Salmon Conjecture. Experimental Mathematics 20:3, pages 358-370.
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Articles from other publishers (23)

Joachim Jelisiejew, J. M. Landsberg & Arpan Pal. (2023) Concise tensors of minimal border rank. Mathematische Annalen 388:3, pages 2473-2517.
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Jarosław Buczyński, Elisa Postinghel & Filip Rupniewski. (2020) On Strassen's Rank Additivity for Small Three-way Tensors. SIAM Journal on Matrix Analysis and Applications 41:1, pages 106-133.
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Ankit Garg, Visu Makam, Rafael Oliveira & Avi Wigderson. (2019) More Barriers for Rank Methods, via a "numeric to Symbolic" Transfer. More Barriers for Rank Methods, via a "numeric to Symbolic" Transfer.
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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J.M. Landsberg & Mateusz Michałek. (2017) Abelian tensors. Journal de Mathématiques Pures et Appliquées 108:3, pages 333-371.
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Pawan Rathod, Ankit Vartak & Neha Kunte. (2017) Optimizing the complexity of matrix multiplication algorithm. Optimizing the complexity of matrix multiplication algorithm.
Dima Grigoriev, Mikhail Muzychuk & Ilya Ponomarenko. (2014) Tensor Rank: Matching Polynomials and Schur Rings. Foundations of Computational Mathematics 14:3, pages 457-481.
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Enrico Carlini, Nathan Grieve & Luke Oeding. 2014. Connections Between Algebra, Combinatorics, and Geometry. Connections Between Algebra, Combinatorics, and Geometry 101 146 .
J. M. Landsberg & Giorgio Ottaviani. (2011) Equations for secant varieties of Veronese and other varieties. Annali di Matematica Pura ed Applicata 192:4, pages 569-606.
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A. Bernardi, J. Brachat, P. Comon & B. Mourrain. (2013) General tensor decomposition, moment matrices and applications. Journal of Symbolic Computation 52, pages 51-71.
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Edoardo Ballico & Alessandra Bernardi. (2011) On the X-rank with respect to linearly normal curves. Collectanea Mathematica 64:2, pages 141-154.
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Jarosław Buczyński & J.M. Landsberg. (2013) Ranks of tensors and a generalization of secant varieties. Linear Algebra and its Applications 438:2, pages 668-689.
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Shmuel Friedland. (2013) On tensors of border rank l in . Linear Algebra and its Applications 438:2, pages 713-737.
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Claudiu Raicu. (2012) Secant varieties of Segre–Veronese varieties. Algebra & Number Theory 6:8, pages 1817-1868.
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Laurent Gruson & Frédéric Han. (2012) The role of the Ellingsrud-Strømme construction in the classification of instantons. Central European Journal of Mathematics 10:4, pages 1188-1197.
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Shmuel Friedland & Elizabeth Gross. (2012) A proof of the set-theoretic version of the salmon conjecture. Journal of Algebra 356:1, pages 374-379.
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Alessandra Bernardi, Jérôme Brachat, Pierre Comon & Bernard Mourrain. (2011) Multihomogeneous polynomial decomposition using moment matrices. Multihomogeneous polynomial decomposition using moment matrices.
Maria Catalisano, Anthony Geramita & Alessandro Gimigliano. (2010) Secant varieties of ℙ¹×⋯×ℙ¹ (𝕟-times) are NOT defective for 𝕟≥5. Journal of Algebraic Geometry 20:2, pages 295-327.
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J.G. Sumner & M.A. Charleston. (2010) Phylogenetic estimation with partial likelihood tensors. Journal of Theoretical Biology 262:3, pages 413-424.
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Vartan Choulakian. (2010) Some Numerical Results on the Rank of Generic Three-Way Arrays over $\mathbb{R}$. SIAM Journal on Matrix Analysis and Applications 31:4, pages 1541-1551.
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J.M. Landsberg & Jerzy Weyman. (2009) On secant varieties of compact Hermitian symmetric spaces. Journal of Pure and Applied Algebra 213:11, pages 2075-2086.
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J.G. Sumner, M.A. Charleston, L.S. Jermiin & P.D. Jarvis. (2008) Markov invariants, plethysms, and phylogenetics. Journal of Theoretical Biology 253:3, pages 601-615.
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J. Landsberg. (2008) Geometry and the complexity of matrix multiplication. Bulletin of the American Mathematical Society 45:2, pages 247-284.
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