Publications in Scientific Journals:
W. Auzinger:
"A note on similarity to contraction for stable 2x2 companion matrices";
Ukrainian Mathematical Journal,
68
(2016),
3;
400
- 407.
English abstract:
We consider companion matrices of size 2x2 with general complex spectra satisfying a root condition with respect to the closed complex unit circle or the closed left complex half plane. For both cases, smooth and naturally conditioned basis transformations are constructed such that the resulting, transformed matrix is contractive or dissipative, respectively.
Keywords:
companion matrix; stable spectrum; root condition; basis transformation; con- tractivity; dissipativity; distance from instability.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s11253-016-1233-2
Electronic version of the publication:
http://umj.imath.kiev.ua/article/?lang=en&article=9297
Created from the Publication Database of the Vienna University of Technology.