JP Journal of Algebra, Number Theory and Applications
Volume 11, Issue 1, Pages 15 - 35
(June 2008)
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A NOTE ON SPECTRALLY ARBITRARY SIGN PATTERNS
Yubin Gao (P. R. China), Zhongshan Li (U. S. A) and Yanling Shao (P. R. China)
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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.