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Geometric simplicity of spectral radius of nonnegative irreducible tensors

โœ Scribed by Yuning Yang, Qingzhi Yang


Book ID
120811904
Publisher
Higher Education Press and Springer
Year
2012
Tongue
English
Weight
138 KB
Volume
8
Category
Article
ISSN
1673-3452

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Preservers of spectral radius, numerical
โœ Chi-Kwong Li; Leiba Rodman ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

Let M + n be the set of entrywise nonnegative n ร— n matrices. Denote by r(A) the spectral radius (Perron root) of A โˆˆ M + n . Characterization is obtained for maps f : In particular, it is shown that such a map has the form for some S โˆˆ M + n with exactly one positive entry in each row and each co