Eigenvalue inequalities for principal submatrices

DOI10.1016/0024-3795(81)90163-4zbMath0458.15013OpenAlexW2032511141MaRDI QIDQ1151441

Charles R. Johnson, Herbert A. Robinson

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90163-4

zbMATH Keywords

principal submatrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (12)

Root spreads for polynomials and Hermitian matrix pencils ⋮ On the eigenvalues of principal submatrices of normal, hermitian and symmetric matrices ⋮ Normal matrices and their principal submatrices of co-order one ⋮ The eigenvalue spreads of a hermitian matrix and its principal submatrices ⋮ On the spread of a hermitian matrix and a conjecture of thompson ⋮ Numerical ranges of principal submatrices ⋮ Structure learning of undirected graphical models for count data. ⋮ On norms of principal submatrices ⋮ Normalized Laplacian eigenvalues with chromatic number and independence number of graphs ⋮ Diversity Sampling is an Implicit Regularization for Kernel Methods ⋮ Minimax and interlacing theorems for matrices ⋮ Some outstanding problems in the theory of matrices

Cites Work

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• Numerical ranges of principal submatrices
• Principal submatrices of normal and Hermitian matrices
• Principal submatrices. II: The upper and lower quadratic inequalities
• Principal submatrices III: Linear inequalities

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