AbstractAn elementary proof is given that some well-known formulae for derivatives of eigenvalues of matrix-valued functions hold under weaker hypotheses than are required by the usual proofs. The relationship between continuous and finite perturbations is also discussed
AbstractGiven an n-by-n matrix A and a fixed perturbation matrix E, the effect of the linear perturb...
We study eigenvalue problems for operators H0 + βV, where the perturbation series is finite order by...
AbstractWe obtain eigenvalue perturbation results for a factorised Hermitian matrix H=GJG∗ where J2=...
AbstractAn elementary proof is given that some well-known formulae for derivatives of eigenvalues of...
AbstractWe sketch some recent results in the perturbation theory of the matrix eigenvalue problems A...
AbstractTight perturbation bounds are given for the shifts in the eigenvalues and eigenvectors of a ...
AbstractLet M be an n × n real matrix, and let Exy be the elementary matrix with 1 in the (x, y) pos...
AbstractFor estimating error bound of computed eigenvalues of a matrix, we need more practical pertu...
In this paper, we consider how eigenvalues of a matrix A change when it is perturbed to e A = D 1 AD...
International audienceWe contribute to the perturbation theory of nonlinear eigenvalue problems in t...
. We show that three well-known perturbation bounds for matrix eigenvalues imply relative bounds: th...
AbstractWe study the dependence of the eigenvalues of a tridiagonal matrix upon off-diagonal entries...
© 2017 Society for Industrial and Applied Mathematics. We contribute to the perturbation theory of n...
AbstractLet A and B be Hermitian matrices, and let c(A, B) = inf{|xH(A + iB)x|:‖ = 1}. The eigenvalu...
Title: Sensitivity and perturbation analysis of nonlinear eigenvalue Abstract: We discuss a general ...
AbstractGiven an n-by-n matrix A and a fixed perturbation matrix E, the effect of the linear perturb...
We study eigenvalue problems for operators H0 + βV, where the perturbation series is finite order by...
AbstractWe obtain eigenvalue perturbation results for a factorised Hermitian matrix H=GJG∗ where J2=...
AbstractAn elementary proof is given that some well-known formulae for derivatives of eigenvalues of...
AbstractWe sketch some recent results in the perturbation theory of the matrix eigenvalue problems A...
AbstractTight perturbation bounds are given for the shifts in the eigenvalues and eigenvectors of a ...
AbstractLet M be an n × n real matrix, and let Exy be the elementary matrix with 1 in the (x, y) pos...
AbstractFor estimating error bound of computed eigenvalues of a matrix, we need more practical pertu...
In this paper, we consider how eigenvalues of a matrix A change when it is perturbed to e A = D 1 AD...
International audienceWe contribute to the perturbation theory of nonlinear eigenvalue problems in t...
. We show that three well-known perturbation bounds for matrix eigenvalues imply relative bounds: th...
AbstractWe study the dependence of the eigenvalues of a tridiagonal matrix upon off-diagonal entries...
© 2017 Society for Industrial and Applied Mathematics. We contribute to the perturbation theory of n...
AbstractLet A and B be Hermitian matrices, and let c(A, B) = inf{|xH(A + iB)x|:‖ = 1}. The eigenvalu...
Title: Sensitivity and perturbation analysis of nonlinear eigenvalue Abstract: We discuss a general ...
AbstractGiven an n-by-n matrix A and a fixed perturbation matrix E, the effect of the linear perturb...
We study eigenvalue problems for operators H0 + βV, where the perturbation series is finite order by...
AbstractWe obtain eigenvalue perturbation results for a factorised Hermitian matrix H=GJG∗ where J2=...
DOI
Add to ORKG