Hermitian matrices depending on three parameters: Coalescing eigenvalues

DOI10.1016/j.laa.2012.01.009zbMath1244.15005OpenAlexW2046602128MaRDI QIDQ414694

Alessandro Pugliese, Luca Dieci

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.01.009

zbMATH Keywords

Berry phasemultiple eigenvaluescoalescing eigenvaluesHermitian matrix valued functionsminimum variationphase rotating/preserving

Mathematics Subject Classification ID

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

Related Items (8)

Ubiquity of conical points in topological insulators ⋮ On the conicity of eigenvalues intersections for parameter-dependent self-adjoint operators ⋮ Coalescing Eigenvalues and Crossing Eigencurves of 1-Parameter Matrix Flows ⋮ Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions ⋮ On the unitary block-decomposability of 1-parameter matrix flows and static matrices ⋮ Hermitian matrices of three parameters: perturbing coalescing eigenvalues and a numerical method ⋮ Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices ⋮ Continuous Decompositions and Coalescing Eigenvalues for Matrices Depending on Parameters

Cites Work

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• Some global properties of matrices of functions of one variable
• Smoothness and Periodicity of Some Matrix Decompositions
• Two-Parameter SVD: Coalescing Singular Values and Periodicity
• Quantal phase factors accompanying adiabatic changes
• On Smooth Decompositions of Matrices
• Singularities in the spectra of random matrices

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