Pentadiagonal Companion Matrices Journal Articles

abstract

• AbstractThe class of sparse companion matrices was recently characterized in terms of unit Hessenberg matrices. We determine which sparse companion matrices have the lowest bandwidth, that is, we characterize which sparse companion matrices are permutationally similar to a pentadiagonal matrix and describe how to find the permutation involved. In the process, we determine which of the Fiedler companion matrices are permutationally similar to a pentadiagonal matrix. We also describe how to find a Fiedler factorization, up to transpose, given only its corner entries.

authors

• Eastman, Brydon
• Vander Meulen, Kevin

status

• published 

publication date

• January 1, 2016

has subject area

• 0104 Statistics (FoR)

published in

• Special Matrices  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4905 Statistics

Digital Object Identifier (DOI)

• 10.1515/spma-2016-0003

start page

• 13

end page

• 30

volume

• 4

issue

• 1