On convexity properties of the spectral radius of nonnegative matrices

DOI10.1016/0024-3795(84)90020-XzbMath0547.15010OpenAlexW2074595534WikidataQ128201174 ScholiaQ128201174MaRDI QIDQ798736

Ludwig Elsner

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90020-x

zbMATH Keywords

convexityspectral radiusnonnegative matricesM-matricesfully indecomposable

Mathematics Subject Classification ID

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

Related Items (12)

Group inverses of \(M\)-matrices associated with nonnegative matrices having few eigenvalues ⋮ Nonnegative alternating circulants leading to \(M\)-matrix group inverses ⋮ Minimax theorem for the spectral radius of the product of non-negative matrices ⋮ On the vol'pert theory of travelling-wave solutions for parabolic systems ⋮ A note on the perturbation of positive matrices by normal and unitary matrices ⋮ On the spectral radius of positive operators on Banach sequence spaces ⋮ Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces ⋮ The perron root of a weighted geometric mean of nonneagative matrices ⋮ Relations between Perron-Frobenius results for matrix pencils ⋮ Global stability in diallelic migration-selection models ⋮ Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces ⋮ Probabilistic approach to Perron root, the group inverse, and applications

Cites Work

• Unnamed Item
• Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
• The diagonal equivalence of a nonnegative matrix to a stochastic matrix
• Minimal G-functions
• Random evolutions and the spectral radius of a non-negative matrix
• Convex spectral functions
• Über Eigenwerteinschließungen mit Hilfe von <scp>Gerschgorin</scp>‐Kreisen

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