The possible inertias for a Hermitian matrix and its principal submatrices

DOI10.1016/0024-3795(87)90212-6zbMath0614.15011OpenAlexW1993283237MaRDI QIDQ1820220

Jerome Dancis

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90212-6

zbMATH Keywords

Hermitian matricesinertiaHermitian extension

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Quadratic and bilinear forms, inner products (15A63)

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Cites Work

• On the inertias of symmetric matrices and bounded self-adjoint operators
• The inertia of a Hermitian matrix having prescribed complementary principal submatrices
• On the inertia of sums of Hermitian matrices
• The inertia of a Hermitian matrix having prescribed diagonal blocks
• Inertia possibilities for completions of partial hermitian matrices^*