AbstractKahan's results on the perturbation of the eigenvalues of a hermitian matrix A affected by an arbitrary perturbation A+X are improved in two ways. Better constants are given, and it is shown that the estimates do not depend on the size of A, but only on the size of the clusters of eigenvalues of A, relative to the euclidean norm of X
AbstractFor estimating error bound of computed eigenvalues of a matrix, we need more practical pertu...
AbstractThis paper concerns a quantity which is equal to the norm of the smallest structured perturb...
AbstractThis paper is concerned with the perturbation of a multiple eigenvalue μ of the Hermitian ma...
AbstractKahan's results on the perturbation of the eigenvalues of a hermitian matrix A affected by a...
AbstractWe give the perturbation bounds for the eigenprojections of a Hermitian matrix H = GJG∗, whe...
AbstractLet A be a square complex matrix with positive definite Hermitian part H(A) ≡ (A + AH)2, and...
AbstractWe give a sharp estimate for the eigenvectors of a positive definite Hermitian matrix under ...
AbstractThere is now a large literature on structured perturbation bounds for eigenvalue problems of...
AbstractWe obtain eigenvalue perturbation results for a factorised Hermitian matrix H=GJG∗ where J2=...
AbstractThere is now a large literature on structured perturbation bounds for eigenvalue problems of...
AbstractIn this note, we study some basic properties of generalized eigenvalues of a definite Hermit...
AbstractWe give a bound for the perturbations of invariant subspaces of graded indefinite Hermitian ...
AbstractThe well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenval...
AbstractBounds for various functions of the eigenvalues of a Hermitian matrix A, based on the traces...
AbstractLet A and B be Hermitian matrices, and let c(A, B) = inf{|xH(A + iB)x|:‖ = 1}. The eigenvalu...
AbstractFor estimating error bound of computed eigenvalues of a matrix, we need more practical pertu...
AbstractThis paper concerns a quantity which is equal to the norm of the smallest structured perturb...
AbstractThis paper is concerned with the perturbation of a multiple eigenvalue μ of the Hermitian ma...
AbstractKahan's results on the perturbation of the eigenvalues of a hermitian matrix A affected by a...
AbstractWe give the perturbation bounds for the eigenprojections of a Hermitian matrix H = GJG∗, whe...
AbstractLet A be a square complex matrix with positive definite Hermitian part H(A) ≡ (A + AH)2, and...
AbstractWe give a sharp estimate for the eigenvectors of a positive definite Hermitian matrix under ...
AbstractThere is now a large literature on structured perturbation bounds for eigenvalue problems of...
AbstractWe obtain eigenvalue perturbation results for a factorised Hermitian matrix H=GJG∗ where J2=...
AbstractThere is now a large literature on structured perturbation bounds for eigenvalue problems of...
AbstractIn this note, we study some basic properties of generalized eigenvalues of a definite Hermit...
AbstractWe give a bound for the perturbations of invariant subspaces of graded indefinite Hermitian ...
AbstractThe well-known Cauchy theorem connects the eigenvalues of a Hermitian matrix to the eigenval...
AbstractBounds for various functions of the eigenvalues of a Hermitian matrix A, based on the traces...
AbstractLet A and B be Hermitian matrices, and let c(A, B) = inf{|xH(A + iB)x|:‖ = 1}. The eigenvalu...
AbstractFor estimating error bound of computed eigenvalues of a matrix, we need more practical pertu...
AbstractThis paper concerns a quantity which is equal to the norm of the smallest structured perturb...
AbstractThis paper is concerned with the perturbation of a multiple eigenvalue μ of the Hermitian ma...
DOI
Add to ORKG