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JP Journal of Algebra, Number Theory and Applications

Abstract:
An

sign pattern A is a spectrally arbitrary pattern if, for any given real monic polynomial

of degree n, there is a real matrix

having characteristic polynomial

We consider the sign pattern

introduced in [2] and prove that for

and

is not a spectrally arbitrary pattern.

Keywords and phrases: sign pattern, spectrally arbitrary pattern, nilpotent, inertia.

Communicated by Fuzhen Zhang

Number of Downloads: 457 | Number of Views: 1348

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P-ISSN: 0972-5555

E-ISSN: 3049-2084

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