Imbedding conditions for normal matrices

DOI10.1016/j.laa.2008.08.015zbMath1172.15013OpenAlexW2043073565MaRDI QIDQ1006030

João Filipe Queiró, António Leal-Duarte

Publication date: 17 March 2009

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

Full work available at URL: http://hdl.handle.net/10316/10044

zbMATH Keywords

lexicographic ordereigenvaluescompressionnormal matrixinterlacingprincipal submatrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (7)

Interaction between Hermitian and normal imbeddings ⋮ The imbeddability for Hermitian and normal matrices ⋮ Ritz values of normal matrices and Ceva's theorem ⋮ On the permissible arrangements of Ritz values for normal matrices in the complex plane ⋮ Continuity of submatrices and Ritz sets associated to a point in the numerical range ⋮ Block imbedding and interlacing results for normal matrices ⋮ Location of Ritz values in the numerical range of normal matrices

Cites Work

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• Normal matrices and their principal submatrices of co-order one
• Stable bundles, representation theory and Hermitian operators
• On normal matrices with normal principal submatrices
• Principal submatrices of normal and Hermitian matrices
• Imbedding Conditions for Hermitian and Normal Matrices
• Generalized minimax and interlacing theorems
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem

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