Equivalence of conditions for convergence of iterative methods for singular equations

DOI10.1002/nla.1680010206zbMath0837.65057OpenAlexW1980500205MaRDI QIDQ4868076

Daniel B. Szyld

Publication date: 21 May 1996

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1680010206

zbMATH Keywords

convergenceBanach spacesMarkov chainsMarkov processesiterative methodslinear equationsconsistent singular systemsindex of the iteration operator

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50) Probabilistic methods, stochastic differential equations (65C99)

Related Items (14)

Acute perturbation of the group inverse ⋮ Perturbation bounds for the group inverse and its oblique projection ⋮ Unnamed Item ⋮ Algebraic Schwarz methods for the numerical solution of Markov chains ⋮ Further results on the perturbation estimations for the Drazin inverse ⋮ Representations for the Drazin inverse of the sum \(P+Q+R+S\) and its applications ⋮ Schwarz methods for quasi stationary distributions of Markov chains ⋮ The Drazin inverse of the sum of four matrices and its applications ⋮ Convergence and quotient convergence of iterative methods for solving singular linear equations with index one ⋮ Algebraic Two-Level Convergence Theory for Singular Systems ⋮ The Ostrowski-Reich theorem for SOR iterations: Extensions to the rank deficient case ⋮ Convergence ofP-regular splitting iterative methods for non-Hermitian positive semidefinite linear systems ⋮ Comparison theorems for the convergence factor of iterative methods for singular matrices ⋮ On necessary conditions for convergence of stationary iterative methods for Hermitian semidefinite linear systems

Cites Work

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