Maximizing the spectral radius of fixed trace diagonal perturbations of nonnegative matrices

DOI10.1016/0024-3795(95)00258-8zbMath0859.15004OpenAlexW2104854004MaRDI QIDQ1923168

Charles R. Johnson, D. Dale Olesky, Raphael Loewy, Peter Vandendriesche

Publication date: 25 March 1997

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

Full work available at URL: http://hdl.handle.net/1828/1768

zbMATH Keywords

spectral radiusnonnegative matrixPerron rootfixed trace diagonal perturbations

Mathematics Subject Classification ID

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

Related Items

Dominant eigenvalue minimization with trace preserving diagonal perturbation: subset design problem ⋮ A note on the perturbation of positive matrices by normal and unitary matrices ⋮ Graph theoretic aspects of maximizing the spectral radius of nonnegative matrices ⋮ Optimizing quadratic forms of adjacency matrices of trees and related eigenvalue problems ⋮ Optimization of the spectral radius of a product for nonnegative matrices

Cites Work

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• Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
• Taylor expansions of eigenvalues of perturbed matrices with applications to spectral radii of nonnegative matrices
• Dominant eigenvalues under trace-preserving diagonal perturbations
• Shorter Notes: Convexity of the Dominant Eigenvalue of an Essentially Nonnegative Matrix
• On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector