Variations of Ritz and Lehmann Bounds

Details Variations of Ritz and Lehmann Bounds Variations of Ritz and Lehmann Bounds

Publishing date

1998-05-06

URL

arxiv.org/abs/math/9805029v1

Science

Mathematics

Field

Rings and Algebras

Additional info

21 pages; 3 figures

Type

Scientific paper

Abstract

Eigenvalue estimates that are optimal in some sense have self-evident appeal and leave estimators with a sense of virtue and economy. So, it is natural that ongoing searches for effective strategies for difficult tasks such as estimating matrix eigenvalues that are situated well into the interior of the spectrum revisit from time to time methods that are known to yield optimal bounds. This article reviews a variety of results related to obtaining optimal bounds to matrix eigenvalues --- some results are well-known; others are less known; and a few are new. We focus especially on Ritz and harmonic Ritz values, and right- and left-definite variants of Lehmann's method.

Affiliated with

Also associated with

No associations

Rating

Variations of Ritz and Lehmann Bounds 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 Variations of Ritz and Lehmann Bounds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variations of Ritz and Lehmann Bounds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-137182