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Upper bounds for the spread of a matrix

✍ Scribed by Junliang Wu; Pingping Zhang; Wenshi Liao

Book ID
116714165
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
330 KB
Volume
437
Category
Article
ISSN
0024-3795

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Lower bounds for the spread of a matrix
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✍ Suk-Geun Hwang; Arnold R. KrΓ€uter; T.S. Michael πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 311 KB

Let A be a fully indecomposable, nonnegative matrix of order n with row sums rt,..., ~;,, and let s~ equal the smallest positive element in row i of A. We prove the permanental inequality 11 II per(A) ~< 1-I s, + IX('"-s;) i::1 i::1 and characterize the case of equality. In 1984 Donald, Elwin, Hager