Customizable triangular factorizations of matrices

DOI10.1016/j.laa.2003.12.023zbMath1050.15012OpenAlexW2128298390WikidataQ114152476 ScholiaQ114152476MaRDI QIDQ1826818

Pengwei Hao

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.023

zbMATH Keywords

triangular matrixtriangular factorizationreversible integer transformrotation by shears

Mathematics Subject Classification ID

Factorization of matrices (15A23)

Related Items (4)

New universal rotation-based fast computational structures for an efficient implementation of the DCT-IV/DST-IV and analysis/synthesis MDCT/MDST filter banks ⋮ Zero-sum triangles for involutory, idempotent, nilpotent and unipotent matrices ⋮ Unitriangular factorizations of Chevalley groups. ⋮ On the necessity and sufficiency of \(PLUS\) factorizations

Cites Work

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• Commutators and companion matrices over rings of stable rank 1
• Products of three triangular matrices
• Factoring wavelet transforms into lifting steps
• Almost every unit matrix is a \(ULU\)
• Every unit matrix is a LULU
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Two Purposes for Matrix Factorization: A Historical Appraisal
• Matrix factorizations for reversible integer mapping

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