Geodesic
A note on estimates for the spectral radius of a nonnegative matrix
The electronic journal of linear algebra, Tome 13 (2005), pp. 352-358.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Utilizing the concept of Perron complement, a new estimate for the spectral radius of a nonnegative irreducible matrix is presented. A new matrix is derived that preserves the spectral radius while its minimum row sum increases and its maximum row sum decreases. Numerical examples are provided to illustrate the effectiveness of this approach.
Classification : 15A18, 15A42, 15A57, 65F15, 65F99
Keywords: perron complement, perron root, nonnegative matrix, irreducibility, spectral radius 
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     title = {A note on estimates for the spectral radius of a nonnegative matrix},
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     language = {en},
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Yang, Shi-Ming; Huang, Ting-Zhu. A note on estimates for the spectral radius of a nonnegative matrix. The electronic journal of linear algebra, Tome 13 (2005), pp. 352-358. http://geodesic.mathdoc.fr/item/ELA_2005__13__a3/