JP Journal of Algebra, Number Theory and Applications
Volume 1, Issue 2, Pages 133 - 141
(August 2001)
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NONNEGATIVE SIGN PATTERNS WHICH ALLOW NORMALITY OVER Z
Leroy B. Beasley (U. S. A.), Gi-Sang Cheon (South Korea), Se-Won Park (South Korea), Han-Guk Seol (South Korea)
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Abstract: By
a nonnegative sign pattern, we mean a matrix
whose entries are from the set
A nonnegative sign pattern A is said to
allow normality over Z if there is a
normal matrix B whose entries are all
integers and have signs indicated by A.
In this paper, we investigate some nonnegative
sign patterns which allow normality over Z,
and some interesting constructions of
nonnegative normal matrices over Z are
provided |
Keywords and phrases: nonnegative sign pattern,
normal matrix. |
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