Li, Shoucang; Gao, Yubin Two new classes of spectrally arbitrary sign patterns. (English) Zbl 1224.15062 Ars Comb. 90, 209-220 (2009). Summary: An \(n \times n\) sign pattern \(A\) is a spectrally arbitrary pattern if, for any given real monic polynomial \(f(x)\) of degree \(n\), there is a real matrix \(B \in Q(A)\) having characteristic polynomial \(f(x)\). In this paper, we give two new classes of \(n \times n\) spectrally arbitrary sign patterns which are generalizations of the pattern \(\mathcal {W}_{n}(k)\) defined by T. Britz, J. J. McDonald, D. D. Olesky and P. van den Driessche [SIAM J. Matrix Anal. Appl. 26, No. 1, 257–271 (2004; Zbl 1082.15016)]. Cited in 1 Document MSC: 15B35 Sign pattern matrices 15A18 Eigenvalues, singular values, and eigenvectors Keywords:sign pattern; spectrally arbitrary sign pattern; inertially arbitrary sign pattern; nilpotent matrix Citations:Zbl 1082.15016 PDFBibTeX XMLCite \textit{S. Li} and \textit{Y. Gao}, Ars Comb. 90, 209--220 (2009; Zbl 1224.15062)