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The minimum rank of a sign pattern matrix with a 1-separation

โœ Scribed by Arav, Marina; Hall, Frank J.; Li, Zhongshan; van der Holst, Hein; Zhang, Lihua; Zhou, Wenyan


Book ID
122151283
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
252 KB
Volume
448
Category
Article
ISSN
0024-3795

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The n-by-n tridiagonal sign pattern T n has every superdiagonal entry positive, every subdiagonal entry negative, the (1, 1) entry negative, the (n, n) entry positive and every other diagonal entry zero. Inertia and spectral results for matrices A n having the sign pattern T n are proved using new t