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A factorization of totally nonsingular matrices over a ring with identity

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Publication:1970499
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DOI10.1016/S0024-3795(99)00223-2zbMath0948.15012WikidataQ126977138 ScholiaQ126977138MaRDI QIDQ1970499

Miroslav Fiedler, Thomas L. Markham

Publication date: 7 June 2000

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


zbMATH Keywords

factorizationring with identitytotally nonsingular matrices


Mathematics Subject Classification ID

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


Related Items

Generalized totally nonnegative matrices ⋮ Some observations on variance matrices ⋮ Bidiagonal factorizations with some parameters equal to zero ⋮ Rank structure properties of rectangular matrices admitting bidiagonal-type factorizations ⋮ Generalized totally positive matrices ⋮ A \(PLU\)-factorization of rectangular matrices by the Neville elimination ⋮ Generalized oscillatory matrices



Cites Work

  • On totally positive matrices
  • Total positivity and Neville elimination
  • Consecutive-column and -row properties of matrices and the Loewner-Neville factorization
  • A note on the row-rhomboidal form of a matrix
  • The LU-factorization of totally positive matrices
  • Determination of the inertia of a partitioned Hermitian matrix
  • A reduction theorem for totally positive matrices
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