GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices

Thomas Trogdon, Tyler Chen, Anne Greenbaum

Publication date: 22 October 2024

Published in: Mathematics of Computation (Search for Journal in Brave)

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations
Numerical range for random matrices
On the distribution of the roots of certain symmetric matrices
Numerical range and functional calculus in Hilbert space
The smallest eigenvalue of a large dimensional Wishart matrix
Convergence to the semicircle law
A limit theorem for the norm of random matrices
Constants related to operators of class $C_\rho$
The probability that a random real Gaussian matrix has $k$ real eigenvalues, related distributions, and the circular law
Bounds for analytical functions of matrices
The distribution of overlaps between eigenvectors of Ginibre matrices
Crouzeix's conjecture and related problems
Eigenvalue distributions of large Hermitian matrices; Wigner's semi- circle law and a theorem of Kac, Murdock, and Szegö
On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices
Optimal lower bound on the least singular value of the shifted Ginibre ensemble
Halting time is predictable for large models: a universality property and average-case analysis
NO EIGENVALUES OUTSIDE THE SUPPORT OF THE LIMITING SPECTRAL DISTRIBUTION OF INFORMATION-PLUS-NOISE TYPE MATRICES
Universality in numerical computations with random data
On the Residual Norm in FOM and GMRES
How long does it take to compute the eigenvalues of a random symmetric matrix?
Random matrix theory
Numerical Determination of the Field of Values of a General Complex Matrix
GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
Some Extensions of the Crouzeix--Palencia Result
Matrix models for beta ensembles
Any Nonincreasing Convergence Curve is Possible for GMRES
The conjugate gradient algorithm on a general class of spiked covariance matrices
The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic
Improved Subspace Estimation for Multivariate Observations of High Dimension: The Deterministic Signals Case
The Numerical Range is a $(1+\sqrt{2})$-Spectral Set
Properties of Worst-Case GMRES
Universality for the Conjugate Gradient and MINRES Algorithms on Sample Covariance Matrices
Towards understanding CG and GMRES through examples

This page was built for publication: GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6622389)