Yang, Zhi Ming A simple method for estimating the bounds of spectral radius of nonnegative irreducible matrices. (English) Zbl 1227.05278 Appl. Math. E-Notes 11, 67-72 (2011). Summary: Based on the Perron complement \(P(A/A[\alpha])\) and generalized Perron complement \(P_t(A/A[\alpha])\) of a nonnegative irreducible matrix \(A\), we derive a simple and practical method that estimates the upper and lower bounds of the spectral radius of \(A\) in terms of norms of \(A[\alpha]\) and its complements. Numerical examples show that this approach improves some of the classical estimates. Cited in 2 Documents MSC: 05E99 Algebraic combinatorics 15A18 Eigenvalues, singular values, and eigenvectors 65F15 Numerical computation of eigenvalues and eigenvectors of matrices PDFBibTeX XMLCite \textit{Z. M. Yang}, Appl. Math. E-Notes 11, 67--72 (2011; Zbl 1227.05278) Full Text: EuDML EMIS