Approximating Coalescing Points for Eigenvalues of Hermitian Matrices of Three Parameters

DOI10.1137/120898036zbMath1273.15008OpenAlexW2002500999MaRDI QIDQ2848623

Luca Dieci, Alessandra Papini, Alessandro Pugliese

Publication date: 26 September 2013

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5a54de07ea0df4efca8f2eb7132df16b0e851dfa

zbMATH Keywords

Berry phasecoalescing eigenvaluesthree-parameter Hermitian functions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical bifurcation problems (65P30) Numerical linear algebra (65F99)

Related Items (8)

Takagi Factorization of Matrices Depending on Parameters and Locating Degeneracies of Singular Values ⋮ 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 ⋮ A local test for global extrema in the dispersion relation of a periodic graph ⋮ Locating Conical Degeneracies in the Spectra of Parametric Self-adjoint Matrices ⋮ Continuous Decompositions and Coalescing Eigenvalues for Matrices Depending on Parameters

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