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Lower bounds for the determinant and the trace of a class of Hermitian matrices

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Publication:1911428
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DOI10.1016/0024-3795(94)00148-0zbMath0846.15004OpenAlexW2030438918MaRDI QIDQ1911428

Balder Ortner, Kräuter, Arnold Richard

Publication date: 23 June 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00148-0


zbMATH Keywords

Hermitian matricestracecondition numberdeterminantlower bounds


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Conditioning of matrices (15A12)


Related Items (3)

Matrix inequalities and partial isometries that arise in x-ray crystallography ⋮ A determinantal lower bound ⋮ Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations



Cites Work

  • Inertia characteristics of self-adjoint matrix polynomials
  • Matrix Analysis
  • Permanents
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