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Rational realizations of the minimum rank of a sign pattern matrix

โœ Scribed by Marina Arav; Frank J. Hall; Selcuk Koyuncu; Zhongshan Li; Bhaskara Rao


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
249 KB
Volume
409
Category
Article
ISSN
0024-3795

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Low rank perturbations and the spectrum
โœ L. Elsner; D.D. Olesky; P. van den Driessche ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

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