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| A CLASS OF SPECTRALLY ARBITRARY RAY PATTERNS |
| Jiangwu Deng |
| (College of Math. and Computer Science, Fuzhou University Fuzhou 350116, Fujian, PR China) |
| DOI： |
| Abstract: |
| An n×n ray pattern A is said to be spectrally arbitrary if for every monic nth degree polynomialf(x) with coefficients from C, there is a complex matrix in the ray pattern class of A such that its characteristic polynomial is f(x).
In this paper, a family ray patterns is proved to be spectrally arbitrary by using Nilpotent-Jacobian method. |
| Key words: ray pattern; Nilpotent-Jacobian method; spectrally arbitrary |