A lower bound for the Perron root of a nonnegative matrix

DOI10.1016/0024-3795(88)90150-4zbMath0659.15015OpenAlexW3141252029MaRDI QIDQ1112133

Tomasz Szulc

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90150-4

zbMATH Keywords

nonnegative matrixlower boundPerror rootzero-trace matrix

Mathematics Subject Classification ID

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

Related Items (8)

The best possible lower bound for the Perron root using traces ⋮ A lower bound for the Perron root of a nonnegative matrix. II ⋮ A contribution to the theory of M-matrices ⋮ Spatial activity allocation modelling: The dominant eigenvalue and its corresponding eigenvector ⋮ A sequence of lower bounds for the spectral radius of nonnegative matrices ⋮ On \(k\)-major norms and \(k\)-minor antinorms ⋮ Lower bounds for the Perron root of a nonnegative matrix ⋮ Lower bounds for the Perron root of a nonnegative matrix

Cites Work

• Bounds for the maximal characteristic root of a non-negative irreducible matrix
• Nested bounds for the Perron root of a nonnegative matrix
• Bounds for the Perron root of a nonnegative irreducible partitioned matrix
• Bounds for the maximal eigenvalue of a nonnegative irreducible matrix
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