article

A decomposition for three-way arrays

Authors:

S. E. Leurgans,

R. T. Ross,

R. B. AbelAuthors Info & Claims

SIAM Journal on Matrix Analysis and Applications, Volume 14, Issue 4

Pages 1064 - 1083

https://doi.org/10.1137/0614071

Published: 01 October 1993 Publication History

Abstract

No abstract available.

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Ji HXie KWen JZhang QXie GLiang W(2024)FineMon: An Innovative Adaptive Network Telemetry Scheme for Fine-Grained, Multi-Metric Data Monitoring with Dynamic Frequency Adjustment and Enhanced Data RecoveryProceedings of the ACM on Management of Data10.1145/36392672:1(1-26)Online publication date: 26-Mar-2024
https://dl.acm.org/doi/10.1145/3639267
Yin LLittle AHirn M(2024)Bispectrum Unbiasing for Dilation-Invariant Multi-Reference AlignmentIEEE Transactions on Signal Processing10.1109/TSP.2024.342093072(3761-3775)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1109/TSP.2024.3420930
Wein ASaha BServedio R(2023)Average-Case Complexity of Tensor Decomposition for Low-Degree PolynomialsProceedings of the 55th Annual ACM Symposium on Theory of Computing10.1145/3564246.3585232(1685-1698)Online publication date: 2-Jun-2023
https://dl.acm.org/doi/10.1145/3564246.3585232
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Index Terms

A decomposition for three-way arrays
1. Mathematics of computing
  1. Mathematical analysis
    1. Mathematical optimization
    2. Numerical analysis
      1. Computations on matrices
2. Theory of computation
  1. Design and analysis of algorithms
    1. Mathematical optimization

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Published In

cover image SIAM Journal on Matrix Analysis and Applications

SIAM Journal on Matrix Analysis and Applications Volume 14, Issue 4

Oct. 1993

288 pages

ISSN:0895-4798

Editor:
G. H. Golub
Stanford Univ., Stanford, CA

Issue’s Table of Contents

Publisher

Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 October 1993

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Cited By

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Ji HXie KWen JZhang QXie GLiang W(2024)FineMon: An Innovative Adaptive Network Telemetry Scheme for Fine-Grained, Multi-Metric Data Monitoring with Dynamic Frequency Adjustment and Enhanced Data RecoveryProceedings of the ACM on Management of Data10.1145/36392672:1(1-26)Online publication date: 26-Mar-2024
https://dl.acm.org/doi/10.1145/3639267
Yin LLittle AHirn M(2024)Bispectrum Unbiasing for Dilation-Invariant Multi-Reference AlignmentIEEE Transactions on Signal Processing10.1109/TSP.2024.342093072(3761-3775)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1109/TSP.2024.3420930
Wein ASaha BServedio R(2023)Average-Case Complexity of Tensor Decomposition for Low-Degree PolynomialsProceedings of the 55th Annual ACM Symposium on Theory of Computing10.1145/3564246.3585232(1685-1698)Online publication date: 2-Jun-2023
https://dl.acm.org/doi/10.1145/3564246.3585232
Chen SLi JLi YZhang ASaha BServedio R(2023)Learning Polynomial Transformations via Generalized Tensor DecompositionsProceedings of the 55th Annual ACM Symposium on Theory of Computing10.1145/3564246.3585209(1671-1684)Online publication date: 2-Jun-2023
https://dl.acm.org/doi/10.1145/3564246.3585209
Koiran PSaha S(2023)Complete Decomposition of Symmetric Tensors in Linear Time and Polylogarithmic PrecisionAlgorithms and Complexity10.1007/978-3-031-30448-4_22(308-322)Online publication date: 13-Jun-2023
https://dl.acm.org/doi/10.1007/978-3-031-30448-4_22
Telen SVannieuwenhoven N(2022)A Normal Form Algorithm for Tensor Rank DecompositionACM Transactions on Mathematical Software10.1145/355536948:4(1-35)Online publication date: 19-Dec-2022
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Hashemi BNakatsukasa Y(2022)On the spectral problem for trivariate functionsBIT10.1007/s10543-018-0710-458:4(981-1008)Online publication date: 11-Mar-2022
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Long ZZhu CLiu JLiu Y(2021)Bayesian Low Rank Tensor Ring for Image RecoveryIEEE Transactions on Image Processing10.1109/TIP.2021.306219530(3568-3580)Online publication date: 1-Jan-2021
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Raimondi FComon PMichel O(2021)Wideband multilinear array processing through tensor decomposition2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)10.1109/ICASSP.2016.7472218(2951-2955)Online publication date: 11-Mar-2021
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Liu LWang LXie JZhang Z(2019)DOA and Polarization Parameters Estimation by Exploiting Canonical Polyadic Decomposition of TensorsWireless Communications & Mobile Computing10.1155/2019/73893062019Online publication date: 1-Jan-2019
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Abstract

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Recommendations

Three-way decisions space and three-way decisions

Three-way attribute reducts

Eigenvalue decomposition for persymmetric Hankel matrices with at most three non-zero anti-diagonals

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