A sequence of lower bounds for the spectral radius of nonnegative matrices

zbMath0758.15013MaRDI QIDQ1195349

Daniel B. Szyld

Publication date: 26 October 1992

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

zbMATH Keywords

symmetrizationspectral radiusnonnegative matriceslower bounds

Mathematics Subject Classification ID

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

Related Items (7)

An algorithm of diagonal transformation for Perron root of nonnegative irreducible matrices ⋮ A decreasing sequence of upper bounds for the Perron root ⋮ Perron root bounding for nonnegative persymmetric matrices ⋮ A sequence of upper bounds for the Perron root of a nonnegative matrix ⋮ Sequences of bounds for the spectral radius of a positive operator ⋮ An efficient algorithm for finding the maximal eigenvalue of zero symmetric nonnegative matrices ⋮ Bounds for the critical speed of climate-driven moving-habitat models

Cites Work

• Unnamed Item
• Bounds for the Perron root, singularity/nonsingularity conditions, and eigenvalue inclusion sets
• Comparison theorems for weak splittings of bounded operators
• Nested bounds for the Perron root of a nonnegative matrix
• Tight bounds on the spectral radius of asymmetric nonnegative matrices
• A lower bound for the Perron root of a nonnegative matrix
• A lower bound for the Perron root of a nonnegative matrix. II
• Bounds for the Perron root of a nonnegative irreducible partitioned matrix
• A computational method for the dominant root of a nonnegative irreducible matrix
• Nested bounds for the spectral radius
• Nested Bounds for the Spectral Radius

This page was built for publication: A sequence of lower bounds for the spectral radius of nonnegative matrices