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Generalized oscillatory matrices

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Publication:1864962
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DOI10.1016/S0024-3795(02)00436-6zbMath1026.15008OpenAlexW2024282500MaRDI QIDQ1864962

Thomas L. Markham, Miroslav Fiedler, Shaun M. Fallat

Publication date: 23 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00436-6


zbMATH Keywords

factorizationtotally nonnegative matricesbidiagonal matrixoscillatory matrixring with identityexponent of positivity


Mathematics Subject Classification ID

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


Related Items (4)

Two results on basic oscillatory matrices ⋮ A class of oscillatory matrices with exponent \(n - 1\) ⋮ Generalized Hessenberg matrices. ⋮ A remark on oscillatory matrices



Cites Work

  • Structure ranks of matrices
  • Some properties of totally positive matrices
  • Generalized totally nonnegative matrices
  • Consecutive-column and -row properties of matrices and the Loewner-Neville factorization
  • A factorization of totally nonsingular matrices over a ring with identity
  • Generalized totally positive matrices
  • Totally positive matrices
  • Total positivity: tests and parametrizations.
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