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A unified version of Cauchy-Schwarz and Wielandt inequalities

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Publication:2479521
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DOI10.1016/j.laa.2007.11.012zbMath1141.15019OpenAlexW2132224999MaRDI QIDQ2479521

Zi-Zong Yan

Publication date: 26 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.11.012


zbMATH Keywords

eigenvaluesWielandt inequalityCauchy-Schwarz inequalityfirst optimal necessary conditionpositive definite symmetric real matrix


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)


Related Items (2)

Influences of preconditioning on the mutual coherence and the restricted isometry property of Gaussian/Bernoulli measurement matrices ⋮ Refinements of the Hadamard and Cauchy-Schwarz inequalities with two inequalities of the principal angles



Cites Work

  • Unnamed Item
  • Some inequalities involving the euclidean condition of a matrix
  • Matrix versions of the Cauchy and Kantorovich inequalities
  • A matrix version of the Wielandt inequality and its applications to statistics
  • Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications
  • Semidefinite Programming


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