Some interlacing theorems on the schur complement

DOI10.1080/03081089808818572zbMath0916.15006OpenAlexW1975800596WikidataQ126250940 ScholiaQ126250940MaRDI QIDQ4222264

Roy Mathias, Chi-Kwong Li

Publication date: 7 July 1999

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

Full work available at URL: https://doi.org/10.1080/03081089808818572

zbMATH Keywords

inequalities involving eigenvaluesSchur complementHermitian matrixinterlacing theorems

Mathematics Subject Classification ID

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

Related Items (2)

Spectral shorted matrices. ⋮ Krylov subspace methods for discrete-time algebraic Riccati equations

Cites Work

• Some interlacing properties of the Schur complement of a Hermitian matrix
• Determination of the inertia of a partitioned Hermitian matrix
• Principal submatrices. IX: Interlacing inequalities for singular values of submatrices
• Imbedding Conditions for Hermitian and Normal Matrices
• Matrix Analysis
• Generalized Inverse Formulas Using the Schur Complement
• The Schur Complement Interlacing Theorem

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