First Order Asymptotic Expansions for Eigenvalues of Multiplicatively Perturbed Matrices
From MaRDI portal
Publication:2827074
DOI10.1137/15M1050057zbMath1388.15017MaRDI QIDQ2827074
Publication date: 12 October 2016
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Newton polygonasymptotic expansionsperturbation theory for linear operatorsmultiplicative perturbation of eigenvaluesperturbation of singular values
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55)
Related Items
First order structure-preserving perturbation theory for eigenvalues of symplectic matrices. II ⋮ First Order Structure-Preserving Perturbation Theory for Eigenvalues of Symplectic Matrices ⋮ Spectral Properties of Kernel Matrices in the Flat Limit ⋮ Perturbations of non-diagonalizable stochastic matrices with preservation of spectral properties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytic perturbation theory for matrices and operators. Licensed ed
- Relative perturbation results for eigenvalues and eigenvectors of diagonalisable matrices
- The Lidskii-Mirsky-Wielandt theorem -- additive and multiplicative versions
- Relative perturbation theory. III: More bounds on eigenvalue variation
- Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations
- On the change in the spectral properties of a matrix under perturbations of sufficiently low rank
- A QUANTITATIVE FORMULATION OF SYLVESTER'S LAW OF INERTIA
- THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
- Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations
- On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure
- Low Rank Perturbation of Jordan Structure
- A Remark on Perturbations of Compact Operators.
- Perturbation Splitting for More Accurate Eigenvalues
- Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices