Nabben, Reinhard Improved upper bounds for the real part of nonmaximal eigenvalues of nonnegative matrices. (English) Zbl 1039.15010 SIAM J. Matrix Anal. Appl. 22, No. 2, 574-579 (2000). Summary: We improve two upper bounds for the real part of nonmaximal eigenvalues of nonnegative irreducible matrices. We also improve an upper bound for the spectral radius of principal submatrices of nonnegative matrices. Cited in 3 ReviewsCited in 4 Documents MSC: 15A42 Inequalities involving eigenvalues and eigenvectors 15B48 Positive matrices and their generalizations; cones of matrices 15B51 Stochastic matrices Keywords:doubly stochastic matrices; nonmaximal eigenvalues; Cheeger-type bounds; nonnegative irreducible matrices; spectral radius PDFBibTeX XMLCite \textit{R. Nabben}, SIAM J. Matrix Anal. Appl. 22, No. 2, 574--579 (2000; Zbl 1039.15010) Full Text: DOI