The Number of Distinct Eigenvalues of a Matrix After Perturbation
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Publication:2806188
DOI10.1137/15M1037603zbMath1338.15023arXiv1508.07633OpenAlexW2963347293MaRDI QIDQ2806188
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Publication date: 17 May 2016
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.07633
Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10)
Related Items (9)
Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators ⋮ An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation ⋮ The number of distinct eigenvalues of a regular pencil and of a square matrix after rank perturbation ⋮ Spectra of rank-one perturbations of self-adjoint operators ⋮ Refined bounds on the number of distinct eigenvalues of a matrix after low-rank update ⋮ Unnamed Item ⋮ Lower and upper bounds for the number of distinct eigenvalues of a perturbed regular matrix pencil ⋮ A theorem on the number of distinct eigenvalues ⋮ Perturbations of non-diagonalizable stochastic matrices with preservation of spectral properties
Cites Work
- Unnamed Item
- Rank-one modification of the symmetric eigenproblem
- Typical changes in spectral properties under perturbation by an operator of rank one.
- Deflation techniques for the calculation of further solutions of a nonlinear system
- A Note on Preconditioning Nonsymmetric Matrices
- Jordan forms of real and complex matrices under rank one perturbations
- Numerical solution of saddle point problems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Solution of Sparse Indefinite Systems of Linear Equations
- Low Rank Perturbation of Jordan Structure
- A Note on Preconditioning for Indefinite Linear Systems
- A Remark on Perturbations of Compact Operators.
- Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices
- Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations
- Some Modified Matrix Eigenvalue Problems
- Methods of conjugate gradients for solving linear systems
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