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Optimization of the spectral radius of a product for nonnegative matrices

โœ Scribed by Jonathan Axtell; Lixing Han; Daniel Hershkowitz; Michael Neumann; Nung-Sing Sze

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
148 KB
Volume
430
Category
Article
ISSN
0024-3795

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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