Dominant eigenvalues under trace-preserving diagonal perturbations

DOI10.1016/0024-3795(94)90415-4zbMath0815.15020OpenAlexW2030235548MaRDI QIDQ1344075

Charles R. Johnson, David P. Stanford, Pauline van den Driessche, D. Dale Olesky

Publication date: 9 February 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90415-4

zbMATH Keywords

dominant eigenvalueessentially nonnegative matrixline-sum-symmetric diagonal similaritytrace-preserving diagonal perturbations

Mathematics Subject Classification ID

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

Related Items (4)

Dominant eigenvalue minimization with trace preserving diagonal perturbation: subset design problem ⋮ The dominant eigenvalue of an essentially nonnegative tensor ⋮ Maximizing the spectral radius of fixed trace diagonal perturbations of nonnegative matrices ⋮ Heterogeneity in multiple transmission pathways: modelling the spread of cholera and other waterborne disease in networks with a common water source

Cites Work

• Symmetric matrices associated with a nonnegative matrix
• A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix
• Combinatorially symmetric matrices
• Some inequalities for the spectral radius of non-negative matrices and applications
• Matrices with prescribed off-diagonal elements
• Matrix Analysis
• Line-sum-symmetric scalings of square nonnegative matrices
• Shorter Notes: Convexity of the Dominant Eigenvalue of an Essentially Nonnegative Matrix

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