Some inequalities for the spectral radius of non-negative matrices and applications

DOI10.1215/S0012-7094-75-04244-1zbMath0373.15008OpenAlexW1577573956MaRDI QIDQ1244280

Shmuel Friedland, Samuel Karlin

Publication date: 1975

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-75-04244-1

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Genetics and epigenetics (92D10) Stochastic matrices (15B51)

Related Items

Markov additive processes and Perron-Frobenius eigenvalue inequalities, A general law of large permanent, Two inequalities for the Perron root, The evolutionary reduction principle for linear variation in genetic transmission, Dominant eigenvalues under trace-preserving diagonal perturbations, Estimates of the spectral radius of graphs^*, Minimization of norms and the spectral radius of a sum of nonnegative matrices under diagonal equivalence, Optimal vaccination: various (counter) intuitive examples, An iterative algorithm for computing mean first passage times of Markov chains, Equilibrants, semipositive matrices, calculation and scaling, On Schrödinger's bridge problem, Hard selection in haploid species, Eigenvalue inequalities for products of matrix exponentials, A survey of migration-selection models in population genetics, A new approach to numerical computation of Hausdorff dimension of iterated function systems: applications to complex continued fractions, Inverse eigenvalue problems, Mathematical models, problems, and controversies of evolutionary theory, Spectral inequalities for nonnegative tensors and their tropical analogues, The inertia of diagonal multiples of \(3\times 3\) real matrices, A study of the van der Waerden conjecture and its generalizations, The scaling mean and a law of large permanents, Nonnegative matrices, zero patterns, and spectral inequalities, Fast diffusion inhibits disease outbreaks, Perron roots of a convex combination of a cone preserving map and its adjoint, Convex spectral functions, Bounds and inequalities for the Perron root of a nonnegative matrix. II: Circuit bounds and inequalities, Unnamed Item, Non-Hermitian random matrices with a variance profile. II: properties and examples, Lower bounds for the Perron root of a non-negative irreducible matrix, Convexity and log convexity for the spectral radius