The inertia of hermitian matrices with a prescribed 2×2 block decomposition

DOI10.1080/03081089208818128zbMath0756.15024OpenAlexW2017512215MaRDI QIDQ4013309

Bryan E. Cain, Eduardo Marques de Sá

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/03081089208818128

zbMATH Keywords

rankinertiaHermitian matrixblock decomposition

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

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Cites Work

• The inertia of a Hermitian matrix having prescribed complementary principal submatrices
• On the inertia of sums of Hermitian matrices
• On the interia of some classes of partitioned matrices
• Unnamed Item