On the public citation graph

Perturbation bounds for means of eigenvalues and invariant subspaces

0 signed · 86 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-66282-9openalex-snapshot
Perturbation Theory for Linear Operators
inferredcites →https://doi.org/10.1007/978-3-662-12678-3openalex-snapshot
Perturbation theory for linear operators
inferredcites →https://doi.org/10.1007/bf01936867openalex-snapshot
An algorithm for numerical determination of the structure of a general matrix
inferredcites →https://doi.org/10.1007/bf02161884openalex-snapshot
On smallest isolated gerschgorin disks for eigenvalues. III
inferredcites →https://doi.org/10.1007/bf02163027openalex-snapshot
Singular value decomposition and least squares solutions
inferredcites →https://doi.org/10.1007/bf02165660openalex-snapshot
Properties of a matrix with a very ill-conditioned eigenproblem
inferredcites →https://doi.org/10.1073/pnas.36.7.374openalex-snapshot
On the Singular Values of a Product of Completely Continuous Operators
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/10.1137/0116072openalex-snapshot
New Root-Location Theorems for Partitioned Matrices
inferredcites →https://doi.org/10.2140/pjm.1962.12.1241openalex-snapshot
Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-0-8176-4968-5_11openalex-snapshot
Other Contributions
inferred← citeshttps://doi.org/10.1007/978-0-8176-4968-5_15openalex-snapshot
Papers on the Eigenproblem and Invariant Subspaces: Perturbation Theory
inferred← citeshttps://doi.org/10.1007/978-3-031-02104-6_1openalex-snapshot
Log-majorization Type Inequalities
inferred← citeshttps://doi.org/10.1007/bf01086544openalex-snapshot
Computational methods of linear algebra
inferred← citeshttps://doi.org/10.1007/bf01932678openalex-snapshot
Perturbation bounds in connection with singular value decomposition
inferred← citeshttps://doi.org/10.1007/bf01936867openalex-snapshot
An algorithm for numerical determination of the structure of a general matrix
inferred← citeshttps://doi.org/10.1007/bf02168360openalex-snapshot
Methods and algorithms of solving spectral problems for polynomial and rational matrices
inferred← citeshttps://doi.org/10.1007/bf02510256openalex-snapshot
Relative perturbation results for eigenvalues and eigenvectors of diagonalisable matrices
inferred← citeshttps://doi.org/10.1007/bfb0044442openalex-snapshot
Formes De Jordan : Application A L'Algorithmique Numerique
inferred← citeshttps://doi.org/10.1007/s002110050192openalex-snapshot
Perturbation analysis of singular subspaces and deflating subspaces
inferred← citeshttps://doi.org/10.1007/s10107-024-02160-6openalex-snapshot
Improved global guarantees for the nonconvex Burer–Monteiro factorization via rank overparameterization
inferred← citeshttps://doi.org/10.1007/s40314-023-02571-9openalex-snapshot
Communicability cosine distance: similarity and symmetry in graphs/networks
inferred← citeshttps://doi.org/10.1016/0022-247x(86)90009-0openalex-snapshot
Oscillation results for selfadjoint differential systems
inferred← citeshttps://doi.org/10.1016/0024-3795(82)90236-1openalex-snapshot
Majorization between the diagonal elements and the eigenvalues of an oscillating matrix
inferred← citeshttps://doi.org/10.1016/0024-3795(90)90359-kopenalex-snapshot
Extensions of tr[A−1−B−1)(A−B)] ⩽ 0 for covariance matrices A, B
inferred← citeshttps://doi.org/10.1016/0041-5553(72)90137-1openalex-snapshot
A Newton's method for finding the eigenvalues and eigenvectors of a matrix
inferred← citeshttps://doi.org/10.1016/0378-3758(92)90040-yopenalex-snapshot
Applications of the asymmetric eigenvalue problem techniques to robust testing
inferred← citeshttps://doi.org/10.1016/b978-0-12-473750-1.50035-7openalex-snapshot
References
inferred← citeshttps://doi.org/10.1016/b978-0-12-514250-2.50018-4openalex-snapshot
Annotated Bibliography on Generalized Inverses and Applications
inferred← citeshttps://doi.org/10.1016/j.jcp.2022.111377openalex-snapshot
Solving eigenvalue PDEs of metastable diffusion processes using artificial neural networks
inferred← citeshttps://doi.org/10.1016/j.laa.2005.12.024openalex-snapshot
Optimization of generalized mean square error in signal processing and communication
inferred← citeshttps://doi.org/10.1016/j.laa.2021.12.014openalex-snapshot
The numerical Jordan form
inferred← citeshttps://doi.org/10.1016/j.laa.2024.04.035openalex-snapshot
Matrix nearness problems with off-block-diagonal rank constraints
inferred← citeshttps://doi.org/10.1017/9781139879354openalex-snapshot
Variational Bayesian Learning Theory
inferred← citeshttps://doi.org/10.1017/9781139879354.001openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1017/9781139879354.002openalex-snapshot
Bayesian Learning
inferred← citeshttps://doi.org/10.1017/9781139879354.003openalex-snapshot
Variational Bayesian Learning
inferred← citeshttps://doi.org/10.1017/9781139879354.004openalex-snapshot
VB Algorithm for Multilinear Models
inferred← citeshttps://doi.org/10.1017/9781139879354.005openalex-snapshot
VB Algorithm for Latent Variable Models
inferred← citeshttps://doi.org/10.1017/9781139879354.006openalex-snapshot
VB Algorithm under No Conjugacy
inferred← citeshttps://doi.org/10.1017/9781139879354.007openalex-snapshot
Global VB Solution of Fully Observed Matrix Factorization
inferred← citeshttps://doi.org/10.1017/9781139879354.008openalex-snapshot
Model-Induced Regularization and Sparsity Inducing Mechanism
inferred← citeshttps://doi.org/10.1017/9781139879354.009openalex-snapshot
Performance Analysis of VB Matrix Factorization
inferred← citeshttps://doi.org/10.1017/9781139879354.010openalex-snapshot
Global Solver for Matrix Factorization
inferred← citeshttps://doi.org/10.1017/9781139879354.011openalex-snapshot
Global Solver for Low-Rank Subspace Clustering
inferred← citeshttps://doi.org/10.1017/9781139879354.012openalex-snapshot
Efficient Solver for Sparse Additive Matrix Factorization
inferred← citeshttps://doi.org/10.1017/9781139879354.013openalex-snapshot
MAP and Partially Bayesian Learning
inferred← citeshttps://doi.org/10.1017/9781139879354.014openalex-snapshot
Asymptotic Learning Theory
inferred← citeshttps://doi.org/10.1017/9781139879354.015openalex-snapshot
Asymptotic VB Theory of Reduced Rank Regression
inferred← citeshttps://doi.org/10.1017/9781139879354.016openalex-snapshot
Asymptotic VB Theory of Mixture Models
inferred← citeshttps://doi.org/10.1017/9781139879354.017openalex-snapshot
Asymptotic VB Theory of Other Latent Variable Models
inferred← citeshttps://doi.org/10.1017/9781139879354.018openalex-snapshot
Unified Theory for Latent Variable Models
inferred← citeshttps://doi.org/10.1017/9781139879354.019openalex-snapshot
James–Stein Estimator
inferred← citeshttps://doi.org/10.1017/9781139879354.020openalex-snapshot
Metric in Parameter Space
inferred← citeshttps://doi.org/10.1017/9781139879354.021openalex-snapshot
Detailed Description of Overlap Method
inferred← citeshttps://doi.org/10.1017/9781139879354.022openalex-snapshot
Optimality of Bayesian Learning
inferred← citeshttps://doi.org/10.1017/9781139879354.023openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1017/9781139879354.024openalex-snapshot
Index
inferred← citeshttps://doi.org/10.1023/a:1019153528915openalex-snapshot
Extracting partial canonical structure for large scale eigenvalue problems
inferred← citeshttps://doi.org/10.1080/1351847x.2025.2501637openalex-snapshot
High-Dimensional portfolio selection with HDShOP package
inferred← citeshttps://doi.org/10.1089/cmb.2018.0008openalex-snapshot
Longitudinal Genotype–Phenotype Association Study through Temporal Structure Auto-Learning Predictive Model
inferred← citeshttps://doi.org/10.1090/tpms/1239openalex-snapshot
Higher-order nonlinear shrinkage estimator of large-dimensional precision matrix
inferred← citeshttps://doi.org/10.1103/physrevb.110.035430openalex-snapshot
Unitary control of partially coherent waves. I. Absorption
inferred← citeshttps://doi.org/10.1103/v1jp-167dopenalex-snapshot
Self-testing measurements in networks from star shaped to tree shaped based on genuine network nonlocality
inferred← citeshttps://doi.org/10.1109/jsen.2024.3363030openalex-snapshot
Coordinate Descent Method for AVS Linear Array DOA Estimation in Non-Uniform Noise
inferred← citeshttps://doi.org/10.1109/msp.2024.3457148openalex-snapshot
Quantum State Discrimination: A Tutorial on Basic Properties of the Optimal Measurement Matrices [Lecture Notes]
inferred← citeshttps://doi.org/10.1109/sampta.2015.7148963openalex-snapshot
Eigenvector localization on data-dependent graphs
inferred← citeshttps://doi.org/10.1109/taes.2025.3560940openalex-snapshot
Robust Direction-of-Arrival Estimation in the Presence of Outliers
inferred← citeshttps://doi.org/10.1109/tsipn.2025.3540701openalex-snapshot
Penalized Likelihood Approach for Graph Learning in the Presence of Outliers
inferred← citeshttps://doi.org/10.1109/tsp.2023.3273116openalex-snapshot
Low-Rank Covariance Matrix Estimation for Factor Analysis in Anisotropic Noise: Application to Array Processing and Portfolio Selection
inferred← citeshttps://doi.org/10.1109/tsp.2024.3361082openalex-snapshot
Two New Algorithms for Maximum Likelihood Estimation of Sparse Covariance Matrices With Applications to Graphical Modeling
inferred← citeshttps://doi.org/10.1109/tsp.2024.3507819openalex-snapshot
Penalized Likelihood Approach to Covariance Matrix Estimation From Data With Cell Outliers
inferred← citeshttps://doi.org/10.1137/0613013openalex-snapshot
Numerical Considerations in Computing Invariant Subspaces
inferred← citeshttps://doi.org/10.1137/0708073openalex-snapshot
Error Bounds for Approximate Invariant Subspaces of Closed Linear Operators
inferred← citeshttps://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/1018113openalex-snapshot
Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
inferred← citeshttps://doi.org/10.1137/15m1016266openalex-snapshot
Sensitivity and Computation of a Defective Eigenvalue
inferred← citeshttps://doi.org/10.1137/25m1753097openalex-snapshot
Extensions of the Regret-Minimization Algorithm for Optimal Design
inferred← citeshttps://doi.org/10.1137/s1064827596300073openalex-snapshot
Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils
inferred← citeshttps://doi.org/10.1145/355900.355912openalex-snapshot
An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix
inferred← citeshttps://doi.org/10.2514/3.25417openalex-snapshot
Reliable algorithm for modal decomposition
inferred← citeshttps://doi.org/10.48550/arxiv.1907.01121openalex-snapshot
An Iteratively Re-weighted Method for Problems with Sparsity-Inducing Norms
inferred← citeshttps://doi.org/10.48550/arxiv.2110.02329openalex-snapshot
Task-aware Privacy Preservation for Multi-dimensional Data
inferred← citeshttps://doi.org/10.51387/24-nejsds72openalex-snapshot
Contrastive Inverse Regression for Dimension Reduction
inferred← citeshttps://doi.org/10.5555/2336431.2336439openalex-snapshot
An overview on the eigenvalue computation for matrices
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.