Absolute Variation of Ritz Values, Principal Angles, and Spectral Spread
From MaRDI portal
Publication:5014160
DOI10.1137/20M1386906zbMath1479.15024arXiv2012.09018OpenAlexW3208159652MaRDI QIDQ5014160
Demetrio Stojanoff, Pedro G. Massey, Sebastián Zárate
Publication date: 1 December 2021
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.09018
Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Related Items
Introducing discrepancy values of matrices with application to bounding norms of commutators, The spectral spread of Hermitian matrices, Norm inequalities for the spectral spread of Hermitian operators, Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers
Cites Work
- A gentle guide to the basics of two projections theory
- A note on eigenvalues of perturbed Hermitian matrices
- Cluster-robust accuracy bounds for Ritz subspaces
- On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces
- Cluster robust error estimates for the Rayleigh-Ritz approximation II: Estimates for eigenvalues
- The spectral spread of Hermitian matrices
- Rayleigh--Ritz Majorization Error Bounds of Mixed Type
- Numerical Methods for Large Eigenvalue Problems
- Rayleigh–Ritz Majorization Error Bounds with Applications to FEM
- Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix
- Quadratic Residual Bounds for the Hermitian Eigenvalue Problem
- Majorization Bounds for Ritz Values of Self-Adjoint Matrices
- Subspace Gap Residuals for Rayleigh–Ritz Approximations
- Bounds for the Rayleigh Quotient and the Spectrum of Self-Adjoint Operators
- Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra
- Two Subspaces
- The Rotation of Eigenvectors by a Perturbation. III
- Inequalities: theory of majorization and its applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
