SVD, joint-MVD, Berry phase, and generic loss of rank for a matrix valued function of 2 parameters

DOI10.1016/J.LAA.2024.07.021MaRDI QIDQ6614430

Luca Dieci, Alessandro Pugliese

Publication date: 7 October 2024

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

zbMATH Keywords

matrices depending on parametersloss of rankminimum variation decomposition

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Title not available (Why is that?)
• Hermitian matrices depending on three parameters: Coalescing eigenvalues
• Numerical computation of an analytic singular value decomposition of a matrix valued function
• A global analysis of matrices of functions of several variables
• Approximating coalescing points for eigenvalues of Hermitian matrices of three parameters
• Two-Parameter SVD: Coalescing Singular Values and Periodicity
• Quantal phase factors accompanying adiabatic changes
• A Method of Global Blockdiagonalization for Matrix-Valued Functions
• On Smooth Decompositions of Matrices
• Path Following by SVD

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