Block imbedding and interlacing results for normal matrices

DOI10.13001/1081-3810.2832zbMath1392.15050OpenAlexW2342724881MaRDI QIDQ2813056

Georgios Katsouleas, John Maroulas

Publication date: 14 June 2016

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.2832

zbMATH Keywords

eigenvaluesnormal matrixinterlacing

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 (2)

Interaction between Hermitian and normal imbeddings ⋮ The imbeddability for Hermitian and normal matrices

Uses Software

• eigs
• IRAM

Cites Work

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• Interaction between Hermitian and normal imbeddings
• Imbedding conditions for normal matrices
• On normal extensions of submatrices
• Diagonal imbeddings in a normal matrix
• The imbeddability for Hermitian and normal matrices
• Imbedding Conditions for Hermitian and Normal Matrices
• Generalized minimax and interlacing theorems
• Matrix Analysis
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Any Ritz Value Behavior Is Possible for Arnoldi and for GMRES
• The Matrix Equation $AX + XB = C$

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