Numerical enclosure for multiple eigenvalues of an Hermitian matrix whose graph is a tree

DOI10.1016/j.laa.2009.06.038zbMath1183.65038OpenAlexW1997395416MaRDI QIDQ734910

Kenji Toyonaga

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.038

zbMATH Keywords

Hermitian matricesinterlacing inequalitiesmultiple eigenvaluesnumerical enclosure method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (1)

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Uses Software

• Matlab
• INTLAB

Cites Work

• Unnamed Item
• Spectral multiplicity and splitting results for a class of qualitative matrices
• Error bounds for computed eigenvalues and eigenvectors
• On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree
• On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph
• Matrix Analysis
• The Parter--Wiener Theorem: Refinement and Generalization
• Computer Algebra in Scientific Computing
• On the Eigenvalues and Eigenvectors of a Class of Matrices
• Computational error bounds for multiple or nearly multiple eigenvalues

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