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Improved upper bounds for the real part of nonmaximal eigenvalues of nonnegative matrices. (English) Zbl 1039.15010

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.

MSC:

15A42 Inequalities involving eigenvalues and eigenvectors
15B48 Positive matrices and their generalizations; cones of matrices
15B51 Stochastic matrices
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