Ergodicity Coefficients Defined by Vector Norms

DOI10.1137/090752948zbMath1223.15043OpenAlexW2005235540WikidataQ57437389 ScholiaQ57437389MaRDI QIDQ3008244

Publication date: 15 June 2011

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d374b684d265e7181eab1f5972f0af24a8da1fc3

zbMATH Keywords

projections convergence eigenvalues inclusion regions nonnegative matrices stochastic matrices singular values ergodicity coefficient

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Stochastic matrices (15B51)

Related Items (34)

Response operators for Markov processes in a finite state space: radius of convergence and link to the response theory for axiom A systems ⋮ Analysis of Relaxation Time in Random Walk with Jumps ⋮ A few remarks on asymptotic stabilities of Markov operators on \(L^1 \)-spaces ⋮ Ergodicity Coefficients for Higher-Order Stochastic Processes ⋮ Ergodicity coefficient and ergodic properties of inhomogeneous Markov chains in ordered normed spaces with a base ⋮ Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base ⋮ Reinforcement learning with algorithms from probabilistic structure estimation ⋮ Some properties of ergodicity coefficients with applications in spectral graph theory ⋮ On the convergence rate of the elitist genetic algorithm based on mutation probability ⋮ On the stability and convergence of a class of consensus systems with a nonlinear input ⋮ Global asymptotic stability of nonautonomous master equations: a proof of the Earnshaw-Keener conjecture ⋮ Convergence of random polygon sequences ⋮ Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients ⋮ Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators ⋮ Ergodicity coefficient. New proofs of known properties ⋮ Perturbation and Inverse Problems of Stochastic Matrices ⋮ Weak ergodicity of nonhomogeneous Markov chains on noncommutative \(L^1\)-spaces ⋮ Unnamed Item ⋮ Sensitivity of the stationary distributions of denumerable Markov chains ⋮ Convergence of gossip algorithms for consensus in wireless sensor networks with intermittent links and mobile nodes ⋮ Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair ⋮ The minimum coefficient of ergodicity for a Markov chain with a given directed graph ⋮ A note on certain ergodicity coefficients ⋮ Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces ⋮ Asymptotic of products of Markov kernels. Application to deterministic and random forward/backward products ⋮ Inhomogeneous Markov Chains and Ergodicity Coefficients: John Hajnal (1924–2008) ⋮ The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains ⋮ Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces ⋮ On the critical exponent of the one-dimensional Cucker–Smale model on a general graph ⋮ Stability estimates of Markov semigroups on abstract states spaces ⋮ Generalized Dobrushin ergodicity coefficient and ergodicities of non-homogeneous Markov chains ⋮ Response and sensitivity using Markov chains ⋮ Comparison of contraction coefficients for \(f\)-divergences ⋮ Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base

This page was built for publication: Ergodicity Coefficients Defined by Vector Norms