Coalescing Eigenvalues and Crossing Eigencurves of 1-Parameter Matrix Flows

DOI10.1137/19M1286141zbMath1461.15014arXiv2002.01274OpenAlexW3092496724MaRDI QIDQ5146620

Frank Uhlig

Publication date: 26 January 2021

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

Full work available at URL: https://arxiv.org/abs/2002.01274

zbMATH Keywords

matrix eigenvaluesZhang neural networkblock-diagonal matrixnumerical matrix algorithmeigenvalue curveblock-diagonal matrix reconstructiondecomposable matrixeigencurve crossinghund-von Neumann-Wigner theoremtime-varying matrix flows

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Inverse boundary value problems for wave equations with quadratic nonlinearities ⋮ On the unitary block-decomposability of 1-parameter matrix flows and static matrices ⋮ Decompositions and coalescing eigenvalues of symmetric definite pencils depending on parameters

Cites Work

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• The construction of high order convergent look-ahead finite difference formulas for Zhang Neural Networks
• Critical Points of the Singular Value Decomposition

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