On Multiple Eigenvalues of Matrices Depending on Several Parameters

DOI10.1137/0727079zbMath0713.65031OpenAlexW2002567101MaRDI QIDQ3198797

King-wah Eric Chu

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727079

zbMATH Keywords

perturbationcontrol theoryimplicit function theoremmultiple eigenvaluesderivatives of eigenvaluesinverse simultaneous iterations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

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The generalized Levinger transformation ⋮ Iterative computation of second‐order derivatives of eigenvalues and eigenvectors ⋮ Testing the eigenvalue structure of spot and integrated covariance ⋮ Calculation of eigenpair derivatives for asymmetric damped systems with distinct and repeated eigenvalues ⋮ On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils. ⋮ Perturbation theory and derivatives of matrix eigensystems ⋮ Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field ⋮ Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis ⋮ Inference about long run canonical correlations ⋮ Eigensensitivity of symmetric damped systems with repeated eigenvalues by generalized inverse ⋮ Cone-constrained eigenvalue problems: Theory and algorithms ⋮ PERTURBATION RESULTS RELATED TO PALINDROMIC EIGENVALUE PROBLEMS ⋮ Sensitivity Analysis of Nonlinear Eigenproblems ⋮ Normal-Bundle Bootstrap ⋮ Perturbation expansions for invariant subspaces

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