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On the necessity and sufficiency of \(PLUS\) factorizations

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Publication:1779261
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DOI10.1016/J.LAA.2004.11.024zbMath1071.15012OpenAlexW2153358218WikidataQ114152473 ScholiaQ114152473MaRDI QIDQ1779261

Pengwei Hao, Yiyuan She

Publication date: 1 June 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.11.024


zbMATH Keywords

triangular factorizationPLUS factorizationreversible integer transformtransform by shears


Mathematics Subject Classification ID

Factorization of matrices (15A23)


Related Items (2)

New universal rotation-based fast computational structures for an efficient implementation of the DCT-IV/DST-IV and analysis/synthesis MDCT/MDST filter banks ⋮ Unitriangular factorizations of Chevalley groups.




Cites Work

  • Commutators and companion matrices over rings of stable rank 1
  • Block TERM factorization of block matrices
  • Products of three triangular matrices
  • Factoring wavelet transforms into lifting steps
  • Almost every unit matrix is a \(ULU\)
  • Every unit matrix is a LULU
  • Customizable triangular factorizations of matrices
  • Matrix factorizations for reversible integer mapping




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