A Rank 18 Waring Decomposition of sM〈3〉 with 432 Symmetries

DOI10.1080/10586458.2018.1547231zbMath1476.15011arXiv1711.05796OpenAlexW2931635161MaRDI QIDQ5163157

Austin Conner

Publication date: 3 November 2021

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05796

zbMATH Keywords

tensor rankmatrix multiplicationalgorithm complexitytensor symmetry

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21) Matrix exponential and similar functions of matrices (15A16)

Related Items (1)

An improved upper bound for the Waring rank of the determinant

Cites Work

• Matrix multiplication via arithmetic progressions
• \(0(n^{2.7799})\) complexity for \(n\times n\) approximate matrix multiplication
• Geometric complexity theory and matrix powering
• Gaussian elimination is not optimal
• Fast Matrix Multiplication
• Powers of tensors and fast matrix multiplication
• Relative bilinear complexity and matrix multiplication.
• Partial and Total Matrix Multiplication

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