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http://dx.doi.org/10.13067/JKIECS.2011.6.2.193

Constructions of the special sign pattern matrices that allow normality  

Yu, Jin-Woo (신경대학교 애니메이션학과)
Im, Hyung-Kyu (신경대학교 인터넷정보통신학과)
Park, Se-Won (신경대학교 교양과)
Publication Information
The Journal of the Korea institute of electronic communication sciences / v.6, no.2, 2011 , pp. 193-198 More about this Journal
Abstract
By a nonnegative sign pattern we mean a matrix whose entries are from the set {+, 0}. A nonnegative sign pattern A is said to allow normality if there is a normal matrix B whose entries have signs indicated by A. In this paper we investigated some nonnegative normal pattern that is different to the pattern in [1]. Some interesting constructions of nonnegative integer normal matrices are provided.
Keywords
sign pattern matrix; allow; normality;
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  • Reference
1 D. M. Burton, "Elementary Number Theory", Wm. C. Brown Publishers, 1994.
2 C. A. Eschenbach and C. R. Johnson, "A Combinatorial Converse to The Perron - Frobenius Theorem", Linear and Multilinear Algebra, Vol. 136, pp. 173-180, 1990.   DOI
3 C. A. Eschenbach and C. R. Johnson, "Sign Patterns that Require Real, Nonreal or Pure Imaginary Eigenvalues", Linear Algebra Appl., Vol. 29, pp. 299-311, 1991.
4 Z. Li. F. Hall and F. Zhang, "Sign Pattern of Nonnegative Normal Matrices", Linear Algebra Appl., Vol. 254, pp. 335-354, 1997.   DOI
5 S. K. Jain and L. E. Snyder, "Nonnegative Normal Matrices, Linear Algebra Appl., Vol. 182, pp. 147-155, 1995.