Publisher DOI: 10.1016/j.laa.2021.02.021
Title: On norms of principal submatrices
Language: English
Authors: Bünger, Florian 
Lange, Marko 
Rump, Siegfried M.  
Keywords: Matrix norms; Norm inequalities; Principal submatrices
Issue Date: Jul-2021
Source: Linear Algebra and Its Applications 620: 27-36 (2021-07)
Abstract (english): 
Let a norm on the set Mn of real or complex n-by-n matrices be given. We investigate the question of finding the largest constants αn and βn such that for each A∈Mn the average of the norms of its (n−1)-by-(n−1) principal submatrices is at least αn times the norm of A, and such that the maximum of the norms of those principal submatrices is at least βn times the norm of A. For a variety of classical norms including induced ℓp-norms, weakly unitarily invariant norms, and entrywise norms we give lower and upper bounds for αn and βn. In several cases αn and βn are explicitly determined.
ISSN: 0024-3795
Institute: Zuverlässiges Rechnen E-19 
Document Type: Article
Appears in Collections:Publications without fulltext

Show full item record

Page view(s)

Last Week
Last month
checked on May 29, 2023

Google ScholarTM


Add Files to Item

Note about this record

Cite this record


Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.