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Relative perturbation results for eigenvalues and eigenvectors of diagonalisable matrices
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01934203openalex-snapshot
Perturbation bounds for means of eigenvalues and invariant subspaces
inferredcites →https://doi.org/10.1016/0024-3795(83)80007-xopenalex-snapshot
Perturbation of spectral subspaces and solution of linear operator equations
inferredcites →https://doi.org/10.1016/0024-3795(93)90258-popenalex-snapshot
Floating-point perturbations of Hermitian matrices
inferredcites →https://doi.org/10.1090/s0002-9904-1969-12330-xopenalex-snapshot
Some new bounds on perturbation of subspaces
inferredcites →https://doi.org/10.1090/s0025-5718-1970-0264843-9openalex-snapshot
Computing Invariant Subspaces of a General Matrix when the Eigensystem is Poorly Conditioned
inferredcites →https://doi.org/10.1137/0707001openalex-snapshot
The Rotation of Eigenvectors by a Perturbation. III
inferredcites →https://doi.org/10.1137/0708073openalex-snapshot
Error Bounds for Approximate Invariant Subspaces of Closed Linear Operators
inferredcites →https://doi.org/10.1137/0732088openalex-snapshot
Relative Perturbation Techniques for Singular Value Problems
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.21236/ada636847openalex-snapshot
Relative Perturbation Theory: (I) Eigenvalue Variations
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/pamm.201010268openalex-snapshot
Error bounds for non‐selfadjoint PDE eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s00025-024-02202-7openalex-snapshot
Bounds for the Relative and Absolute Spectral Variations of Matrices
inferred← citeshttps://doi.org/10.1007/s10543-008-0187-7openalex-snapshot
Two perturbation bounds for singular values and eigenvalues
inferred← citeshttps://doi.org/10.1007/s10959-012-0416-5openalex-snapshot
Additive/Multiplicative Free Subordination Property and Limiting Eigenvectors of Spiked Additive Deformations of Wigner Matrices and Spiked Sample Covariance Matrices
inferred← citeshttps://doi.org/10.1016/j.amc.2025.129402openalex-snapshot
Isospectral reductions of non-negative matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(02)00464-0openalex-snapshot
Relative perturbation theory for hyperbolic singular value problem
inferred← citeshttps://doi.org/10.1016/s0024-3795(99)00104-4openalex-snapshot
Absolute and relative perturbation bounds for invariant subspaces of matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(99)00126-3openalex-snapshot
Relative perturbation theory for hyperbolic eigenvalue problem
inferred← citeshttps://doi.org/10.1016/s0024-3795(99)00198-6openalex-snapshot
Relative perturbation bound for invariant subspaces of graded indefinite Hermitian matrices
inferred← citeshttps://doi.org/10.1016/s0024-3795(99)00273-6openalex-snapshot
Exponential splittings of products of matrices and accurately computing singular values of long products
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00404-0openalex-snapshot
An overview of relative sinΘ theorems for invariant subspaces of complex matrices
inferred← citeshttps://doi.org/10.1137/110834044openalex-snapshot
Twisted Factorizations and qd-Type Transformations for the $\mbox{MR}^{3}$ Algorithm---New Representations and Analysis
inferred← citeshttps://doi.org/10.1137/130943613openalex-snapshot
Relative Perturbation Theory for Diagonally Dominant Matrices
inferred← citeshttps://doi.org/10.1137/15m1050057openalex-snapshot
First Order Asymptotic Expansions for Eigenvalues of Multiplicatively Perturbed Matrices
inferred← citeshttps://doi.org/10.1137/18m1227688openalex-snapshot
Data Driven Koopman Spectral Analysis in Vandermonde--Cauchy Form via the DFT: Numerical Method and Theoretical Insights
inferred← citeshttps://doi.org/10.1137/s0036144596300773openalex-snapshot
Computing an Eigenvector with Inverse Iteration
inferred← citeshttps://doi.org/10.1137/s089547989629849xopenalex-snapshot
Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations
inferred← citeshttps://doi.org/10.48550/arxiv.1106.0898openalex-snapshot
Hessian-Free Methods for Checking the Second-Order Sufficient Conditions in Equality-Constrained Optimization and Equilibrium Problems
inferred← citeshttps://doi.org/10.48550/arxiv.2004.09780openalex-snapshot
Strong Consistency, Graph Laplacians, and the Stochastic Block Model
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