Bounds for the greatest characteristic root of a nonnegative matrix

DOI10.1016/S0024-3795(96)90008-7zbMath0851.15014MaRDI QIDQ1913651

Shu-Lin Liu

Publication date: 26 November 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

nonnegative matrixupper and lower boundsgreatest characteristic root

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (12)

Sharp bounds on the spectral radius of nonnegative matrices and digraphs ⋮ Bounds for the Perron root, singularity/nonsingularity conditions, and eigenvalue inclusion sets ⋮ An approach to bounding the spectral radius of a weighted digraph ⋮ New bounds for Perron root of a nonnegative matrix ⋮ Bounds for the Perron root of positive matrices ⋮ Sequences of lower and upper bounds for the spectral radius of a nonnegative matrix ⋮ Some new considerations about double nested graphs ⋮ Inequalities for the maximal eigenvalue of a nonnegative matrix ⋮ Bounds for the Perron root of nonnegative matrices and spectral radius of iteration matrices ⋮ Bounds and inequalities for the Perron root of a nonnegative matrix. II: Circuit bounds and inequalities ⋮ An improvement on Ky Fan's theorem of matrix eigenvalues ⋮ Bounds for the critical speed of climate-driven moving-habitat models

Cites Work

• Unnamed Item
• The theorems of Ledermann and Ostrowski on positive matrices
• Bounds for the maximal characteristic root of a non-negative irreducible matrix
• Bounds for the greatest characteristic root of an irreducible nonnegative matrix. II
• Bounds for the greatest characteristic root of an irreducible nonnegative matrix
• Bounds for the Greatest Latent Roots of a Positive Matrix
• Bounds for the Greatest Latent Root of a Positive Matrix

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