Principal submatrices. IV: On the independence of the eigenvalues of different principal submatrices

DOI10.1016/0024-3795(69)90037-8zbMath0224.15014OpenAlexW2054474694WikidataQ127533027 ScholiaQ127533027MaRDI QIDQ2548290

Robert C. Thompson

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0024-3795(69)90037-8

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (9)

On the eigenvalues of principal submatrices of normal, hermitian and symmetric matrices ⋮ Normal matrices and their principal submatrices of co-order one ⋮ The 4 × 4 Orthostochastic Variety ⋮ On the decomposable numerical range of λI-N ⋮ Independence of eigenvalues and independence of singular values of submatrices ⋮ On Principal Sections of a Pair of Forms ⋮ Principal submatrices. VI: Cases of equality in certain linear inequalities ⋮ Principal submatrices. IX: Interlacing inequalities for singular values of submatrices ⋮ Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra

Cites Work

• Some extreme value results for indefinite Hermitian matrices. II
• Principal submatrices of normal and Hermitian matrices
• Principal submatrices. II: The upper and lower quadratic inequalities
• Imbedding Conditions for Hermitian and Normal Matrices
• Principal submatrices III: Linear inequalities
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix

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