First Order Structure-Preserving Perturbation Theory for Eigenvalues of Symplectic Matrices

DOI10.1137/17M1124723zbMath1441.15007MaRDI QIDQ5113363

Julio Moro, Christian Mehl, Fredy Sosa

Publication date: 4 June 2020

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

zbMATH Keywords

Newton polygonasymptotic expansionssymplectic matricesperturbation of eigenvaluesstructured perturbationsign characteristics

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Canonical forms, reductions, classification (15A21) Matrix Lie algebras (15B30)

Related Items

Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators ⋮ First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. II ⋮ Spectra of rank-one perturbations of self-adjoint operators ⋮ Global properties of eigenvalues of parametric rank one perturbations for unstructured and structured matrices

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