engleski

On eigenvalue and eigenvector estimates for nonnegative definite operators

We present a perturbation approach to the Rayleigh– Ritz approximations in the sense of Davis, Kahan, and Weinberger. We restrict ourselves to nonnegative definite self-adjoint operators and obtain sharp bounds of relative type for both eigenvalues and eigenvectors. The operators are allowed to have nontrivial null-spaces, and the test spaces need not be contained in the domain of the considered operator.

eigenvalues ; estimation of eigenvalues ; upper and lower bounds ; Variational methods for eigenvalues of operators

nije evidentirano