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On relationships between several classes of Z-matrices, M-matrices and nonnegative matrices

โœ Scribed by Reinhard Nabben


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
256 KB
Volume
421
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


Eigenvalue location for nonnegative and
โœ Shaun M. Fallat; Charles R. Johnson; Ronald L. Smith; P. van den Driessche ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 518 KB

Let L~ denote the class of n x n Z-matrices A = tl -B with B ~> 0 and pk(B) <~ t <-Pk+l (B), where pk(B) denotes the maximum spectral radius of k x k principal submatrices of B. Bounds are determined on the number of eigenvalues with positive real parts for A E L~i, where k satisfies, [n/2j ~< k ~<