On Temple--Kato like inequalities and applications

Details On Temple--Kato like inequalities and applications On Temple--Kato like inequalities and applications

2005-11-16

arxiv.org/abs/math/0511408v2

Mathematics

Spectral Theory

submitted to SIAM Journal on Numerical Analysis (a major revision of the paper)

Scientific paper

We give both lower and upper estimates for eigenvalues of unbounded positive definite operators in an arbitrary Hilbert space. We show scaling robust relative eigenvalue estimates for these operators in analogy to such estimates of current interest in Numerical Linear Algebra. Only simple matrix theoretic tools like Schur complements have been used. As prototypes for the strength of our method we discuss a singularly perturbed Schroedinger operator and study convergence estimates for finite element approximations. The estimates can be viewed as a natural quadratic form version of the celebrated Temple--Kato inequality.

Affiliated with

Also associated with

No associations

Rating

On Temple--Kato like inequalities and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Temple--Kato like inequalities and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Temple--Kato like inequalities and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-581305