D_{n,r} is not potentially nilpotent for n \geqslant 4r − 2

Title:

D_{n,r} is not potentially nilpotent for n \geqslant 4r − 2

Creator:

Shao, Yanling, Gao, Yubin, and Gao, Wei

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0b15fd84-4d71-41c1-9046-64cd0c6e952c
uuid:0b15fd84-4d71-41c1-9046-64cd0c6e952c
issn:0011-4642

Subject:

matematika, mathematics, sign pattern, potentially nilpotent pattern, spectrally arbitrary pattern, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

An n × n sign pattern A is said to be potentially nilpotent if there exists a nilpotent real matrix B with the same sign pattern as A. Let D_{n,r} be an n × n sign pattern with 2 \geqslant r \geqslant n such that the superdiagonal and the (n, n) entries are positive, the (i, 1) (i = 1,..., r) and (i, i − r + 1) (i = r + 1,..., n) entries are negative, and zeros elsewhere. We prove that for r \geqslant 3 and n \geqslant 4r − 2, the sign pattern D_{n,r} is not potentially nilpotent, and so not spectrally arbitrary., Yanling Shao, Yubin Gao, Wei Gao., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

671-679

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:3

Harvested from:

CDK

Metadata only:

false