On Temple–kato like Inequalities and Applications
نویسنده
چکیده
The so called Wilkinson’s Schur complement trick plays a prominent role in the theory of eigenvalue estimates for finite matrices. We apply this technique to the problem of obtaining Ritz value spectral estimates for a positive definite self-adjoint operator in a Hilbert space. New estimates have a form of a Temple–Kato like inequality and are particularly suited to a situation in which we are estimating a multiple eigenvalue of a positive definite operator by a cluster of Ritz values. An application of new estimates in a context of finite element computations will be discussed.
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