First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. II
From MaRDI portal
Publication:6131335
DOI10.1016/j.laa.2024.02.018OpenAlexW4392104247MaRDI QIDQ6131335
Christian Mehl, Julio Moro, Fredy Sosa
Publication date: 5 April 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2024.02.018
Newton polygonasymptotic expansionssymplectic matricesmultiplicative perturbationsperturbation of eigenvaluesstructure-preserving perturbations
Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Canonical forms, reductions, classification (15A21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Matrices and indefinite scalar products
- Analytic perturbation theory for matrices and operators. Licensed ed
- A new method for computing the closed-loop eigenvalues of a discrete-time algebraic Riccati equation
- The symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos method
- Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations
- An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem
- First Order Asymptotic Expansions for Eigenvalues of Multiplicatively Perturbed Matrices
- Parametrization of the Matrix Symplectic Group and Applications
- A Symplectic Orthogonal Method for Single Input or Single Output Discrete Time Optimal Quadratic Control Problems
- CLASSIFICATION PROBLEMS FOR SYSTEMS OF FORMS AND LINEAR MAPPINGS
- On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
- A symplectic QR like algorithm for the solution of the real algebraic Riccati equation
- First Order Structure-Preserving Perturbation Theory for Eigenvalues of Symplectic Matrices
- Spectral Analysis of Symplectic Matrices with Application to the Theory of Parametric Resonance
This page was built for publication: First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. II