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Two inequalities for the Perron Root

โœ Scribed by R.B. Bapat


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
352 KB
Volume
85
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Yu.A. Alpin; L.Yu. Kolotilina ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 859 KB

For the Perron roots of square nonnegative matrices A, B, and A + D~BXD, where D is a diagonal matrix with positive diagonal entries, the inequality is proved under the assumption that A and B have a common unordered pair of nonorthogonal right and left Perron vectors. The case of equality is analy

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Let A โˆˆ R n,n and let ฮฑ and ฮฒ be nonempty complementary subsets of {1, . . . , n} of increasing integers. For ฮป > ฯ(A[ฮฒ]), we define the generalized Perron complement of A[ฮฒ] in A at ฮป as the matrix For the classes of the nonnegative matrices and of the positive semidefinite matrices, we study the

Perron root bounding for nonnegative per
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The eigenvalue problem for a symmetric persymmetric matrix can be reduced to two symmetric eigenvalue problems of lower order. In this paper, we find in which of these problems the Perron root of a nonnegative symmetric persymmetric matrix lies. This is applied to bound the Perron root of such class