eprintid: 21959
rev_number: 15
eprint_status: archive
userid: 466
dir: disk0/00/02/19/59
datestamp: 2016-10-09 16:19:40
lastmod: 2016-11-15 09:45:54
status_changed: 2016-10-09 16:19:40
type: article
metadata_visibility: show
creators_name: Dümbgen, Lutz
title: A Simple Proof and Refinement of Wielandt's Eigenvalue Inequality
subjects: 310
divisions: 110400
keywords: Eigenvalue Inequality, Partitioned Matrix
abstract: Wielandt (1967) proved an eigenvalue inequality for partitioned symmetric matrices, which turned out to be very useful in statistical applications. A simple proof yielding sharp bounds is given.
date: 1995
id_scheme: DOI
id_number: 10.11588/heidok.00021959
schriftenreihe_cluster_id: sr-10b
schriftenreihe_order: 05
ppn_swb: 1658998103
own_urn: urn:nbn:de:bsz:16-heidok-219599
language: eng
bibsort: DUMBGENLUTASIMPLEPRO1995
full_text_status: public
publication: Statistics & Probability Letters
volume: 25
pagerange: 113-115
issn: 0167-7152
citation:   Dümbgen, Lutz  (1995) A Simple Proof and Refinement of Wielandt's Eigenvalue Inequality.  Statistics & Probability Letters, 25.  pp. 113-115.  ISSN 0167-7152     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/21959/1/report.05%281%29.pdf