Journal article
Condition numbers of Hessenberg companion matrices
Abstract
The Fiedler matrices are a large class of companion matrices that include the well-known Frobenius companion matrix. The Fiedler matrices are part of a larger class of companion matrices that can be characterized by a Hessenberg form. We demonstrate that the Hessenberg form of the Fiedler companion matrices provides a straight-forward way to compare the condition numbers of these matrices. We also show that there are other companion matrices …
Authors
Cox M; Vander Meulen KN; Van Tuyl A; Voskamp J
Journal
Czechoslovak Mathematical Journal, Vol. 74, No. 1, pp. 191–209
Publisher
Institute of Mathematics, Czech Academy of Sciences
Publication Date
April 1, 2024
DOI
10.21136/cmj.2024.0060-23
ISSN
0011-4642