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Improving eigenvalue bounds using extra bounds

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Publication:1063660
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DOI10.1016/0024-3795(85)90209-5zbMath0574.15010OpenAlexW2077555649MaRDI QIDQ1063660

Henry Wolkowicz, Jorma Kaarlo Merikoski

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90209-5


zbMATH Keywords

Hermitian matrixeigenvalue bounds for matrix functionsKarush-Kuhn- Tucker conditions


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items (2)

Bounds for singular values using traces ⋮ Matricial inner products and pointed cones of Hermitian-preserving linear transformations



Cites Work

  • Bounds for ratios of eigenvalues using traces
  • Bounds for eigenvalues using traces
  • Matricial norms
  • Lower bounds for the Perron root of a non-negative irreducible matrix
  • On a lower bound for the perron eigenvalue
  • Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
  • Inequalities: theory of majorization and its applications


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