Add to ORKGWe derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of the eigenvalues of the matrix and the angle between the subspace and the eigenvector. We also present a sharp bound
Let $(\lambda,x)$ be an eigenpair of the Hermitian matrix $A$ of order $n$ and let $(\mu,u)$ be a Ri...
AbstractThis is the second part of a paper that deals with error estimates for the Rayleigh–Ritz app...
AbstractWe give new lower bounds on the Rayleigh–Ritz approximations of a part of the spectrum of an...
We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of ...
AbstractThe Rayleigh quotient is unarguably the most important function used in the analysis and com...
We derive sharp bounds for the accuracy of approximate eigenvectors (Ritz vectors) obtained by the R...
The Rayleigh quotient is unarguably the most important function used in the analysis and computation...
In this thesis we study two different problems related to eigenvalue error bounds. Inthe first part ...
AbstractLet (λ,x) be an eigenpair of the matrix A of order n and let (μ,u) be a Ritz pair of A with ...
AbstractThe Rayleigh quotient is unarguably the most important function used in the analysis and com...
AbstractLet A be a positive definite, symmetric matrix. We wish to determine the largest eigenvalue,...
AbstractAn extended Rayleigh-Ritz method for computing two-sided eigenvalue bounds of the one-dimens...
Large scale eigenvalue computation is about approximating certain invariant sub-spaces associated wi...
The problem in this paper is to construct accurate approximations from a subspace to eigenpairs for ...
This is the second part of a paper that deals with error estimates for the Rayleigh-Ritz approximati...
Let $(\lambda,x)$ be an eigenpair of the Hermitian matrix $A$ of order $n$ and let $(\mu,u)$ be a Ri...
AbstractThis is the second part of a paper that deals with error estimates for the Rayleigh–Ritz app...
AbstractWe give new lower bounds on the Rayleigh–Ritz approximations of a part of the spectrum of an...
We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of ...
AbstractThe Rayleigh quotient is unarguably the most important function used in the analysis and com...
We derive sharp bounds for the accuracy of approximate eigenvectors (Ritz vectors) obtained by the R...
The Rayleigh quotient is unarguably the most important function used in the analysis and computation...
In this thesis we study two different problems related to eigenvalue error bounds. Inthe first part ...
AbstractLet (λ,x) be an eigenpair of the matrix A of order n and let (μ,u) be a Ritz pair of A with ...
AbstractThe Rayleigh quotient is unarguably the most important function used in the analysis and com...
AbstractLet A be a positive definite, symmetric matrix. We wish to determine the largest eigenvalue,...
AbstractAn extended Rayleigh-Ritz method for computing two-sided eigenvalue bounds of the one-dimens...
Large scale eigenvalue computation is about approximating certain invariant sub-spaces associated wi...
The problem in this paper is to construct accurate approximations from a subspace to eigenpairs for ...
This is the second part of a paper that deals with error estimates for the Rayleigh-Ritz approximati...
Let $(\lambda,x)$ be an eigenpair of the Hermitian matrix $A$ of order $n$ and let $(\mu,u)$ be a Ri...
AbstractThis is the second part of a paper that deals with error estimates for the Rayleigh–Ritz app...
AbstractWe give new lower bounds on the Rayleigh–Ritz approximations of a part of the spectrum of an...