Journal article
Companion matrix patterns
Abstract
Companion matrices, especially the Frobenius companion matrices, are used in algorithms for finding roots of polynomials and are also used to find bounds on eigenvalues of matrices. In 2003, Fiedler introduced a larger class of companion matrices that includes the Frobenius companion matrices. One property of the combinatorial pattern of these companion matrices is that, up to diagonal similarity, they uniquely realize every possible spectrum …
Authors
Eastman B; Kim I-J; Shader BL; Vander Meulen KN
Journal
Linear Algebra and its Applications, Vol. 463, , pp. 255–272
Publisher
Elsevier
Publication Date
December 2014
DOI
10.1016/j.laa.2014.09.010
ISSN
0024-3795