A unification of some matrix factorization results

DOI10.1016/j.laa.2009.06.006zbMath1179.15011OpenAlexW1963742149MaRDI QIDQ732060

J. D. Botha

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.006

zbMATH Keywords

spectrumfinite fieldunificationinvolutioncommutatorpositive definitenonderogatoryspecial \(LT\) factorizationspecial \(LU\) factorization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (1)

Products of positive definite symplectic matrices

Cites Work

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• Spectrally arbitrary, nonderogatory factorization over a general field
• Products of involutions
• Products of diagonalizable matrices over a field of characteristic two
• Products of diagonalizable matrices
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• Product of two involutions
• Products of positive definite matrices. IV
• Positive-definite matrices and their role in the study of the characteristic roots of general matrices
• Products of positive definite matrices. III
• A factorization theorem for matrices
• Commutators in the Special and General Linear Groups
• Commutators of Matrices with Prescribed Determinant

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