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Two new classes of spectrally arbitrary sign patterns. (English) Zbl 1224.15062

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)].

MSC:

15B35 Sign pattern matrices
15A18 Eigenvalues, singular values, and eigenvectors

Citations:

Zbl 1082.15016
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