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The inertia of Hermitian block matrices with zero main diagonal

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Publication:1567550
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DOI10.1016/S0024-3795(00)00089-6zbMath0961.15013MaRDI QIDQ1567550

Carlos Martins de Fonseca

Publication date: 28 May 2001

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


zbMATH Keywords

inequalitiesrankinertiaHermitian block matrix


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items

Solutions to 18 constrained optimization problems on the rank and inertia of the linear matrix function ⋮ Nonsingular acyclic matrices with full number of P-vertices ⋮ On the number of P-vertices of some graphs ⋮ Maximization and minimization of the rank and inertia of the Hermitian matrix expression \(A-BX-(BX)^{*}\) with applications ⋮ Equalities and inequalities for inertias of Hermitian matrices with applications ⋮ A New Expression of the Hermitian Solutions to a System of Matrix Equations with Applications



Cites Work

  • Unnamed Item
  • The inertia of certain Hermitian skew-triangular block matrices
  • On the interia of some classes of partitioned matrices
  • The inertia of hermitian matrices with a prescribed 2×2 block decomposition
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