New classes of spectrally arbitrary ray patterns

✍ Scribed by Yubin Gao; Yanling Shao

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 200 KB
• Volume: 434
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2010.12.011

✦ Synopsis

An n × n ray pattern matrix S is said to be spectrally arbitrary if for every monic nth degree polynomial f (λ) with coefficients from C, there is a complex matrix in the ray pattern class of S such that its characteristic polynomial is f (λ). In this article we give new classes of spectrally arbitrary ray pattern matrices.