Article (Scientific journals)
Column-partitioned matrices over rings without invertible transversal submatrices
Foldes, Stephan; Lehtonen, Erkko
2010In Ars Combinatoria, 97, p. 33-39
Peer reviewed
 

Files


Full Text
Matrix.pdf
Author postprint (280.2 kB)
Request a copy

All documents in ORBilu are protected by a user license.

Send to



Details



Abstract :
[en] Let the columns of a p×q matrix M over any ring be partitioned into n blocks, M = [M1,...,Mn]. If no p×p submatrix of M with columns from distinct blocks Mi is invertible, then there is an invertible p×p matrix Q and a positive integer m ≤ p such that QM = [QM1,...,QMn] is in reduced echelon form and in all but at most m - 1 blocks QMi the last m entries of each column are either all zero or they include a non-zero non-unit.
Disciplines :
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2010-885
Author, co-author :
Foldes, Stephan;  Tampere University of Technology
Lehtonen, Erkko ;  Tampere University of Technology
Language :
English
Title :
Column-partitioned matrices over rings without invertible transversal submatrices
Publication date :
2010
Journal title :
Ars Combinatoria
ISSN :
0381-7032
Publisher :
The Charles Babbage Research Centre, Winnipeg, Canada
Volume :
97
Pages :
33-39
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 02 July 2013

Statistics


Number of views
25 (1 by Unilu)
Number of downloads
0 (0 by Unilu)

Scopus citations®
 
0
Scopus citations®
without self-citations
0
WoS citations
 
0

Bibliography


Similar publications



Contact ORBilu