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OMC for scalar multiples of unitaries

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Publication:869944
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DOI10.1016/j.laa.2006.10.022zbMath1116.15010OpenAlexW2080350435MaRDI QIDQ869944

Stephen W. Drury

Publication date: 9 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.10.022


zbMATH Keywords

eigenvaluedeterminantunitary matricesMarcus-de Oliveira conjecture


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items (3)

A Fiedler-type determinantal inequality in Euclidean Jordan algebras ⋮ A class of normal dilation matrices affirming the Marcus-de Oliveira conjecture ⋮ Extremal case in Marcus–Oliveira conjecture and beyond



Cites Work

  • Matrices satisfying a conjecture of G. N. de Oliveira on determinants
  • Some remarks on a conjecture of de Oliveira
  • The validity of the Marcus-de Oliveira conjecture for essentially Hermitian matrices
  • Bounds for the Determinant of the Sum of Hermitian Matrices
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