On the use of incomplete semiiterative methods for singular systems and applications in Markov chain modeling.

DOI10.1016/S0096-3003(00)00127-2zbMath1036.65034MaRDI QIDQ1855124

He-Bing Wu, Yi-Min Wei

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

convergenceDrazin inverseMarkov chainindexsingular systemsstationary probability vectorsemiiterative methodincomplete semiiterative method

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Numerical analysis or methods applied to Markov chains (65C40) Iterative numerical methods for linear systems (65F10)

Related Items (7)

Generalized inverses of a normal matrix ⋮ Perturbation analysis of singular linear systems with arbitrary index. ⋮ Comment on ``condition number of Drazin inverse and their condition numbers of singular linear systems ⋮ Structured perturbations of Drazin inverse ⋮ A simpler DGMRES ⋮ New perturbation bounds for the \(W\)-weighted Drazin inverse ⋮ Quotient convergence and multi-splitting methods for solving singular linear equations

Cites Work

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• A study of semiiterative methods for nonsymmetric systems of linear equations
• On the solution of singular linear systems of algebraic equations by semiiterative methods
• Index splitting for the Drazin inverse and the singular linear system
• Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index
• On the Construction of Semi-Iterative Methods
• Matrix Analysis
• Convergent Powers of a Matrix with Applications to Iterative Methods for Singular Linear Systems

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