Convergence of two-stage iterative methods for singular symmetric positive semidefinite systems∗

DOI10.1080/00207160108805032zbMath0967.65044OpenAlexW1972139832MaRDI QIDQ4528034

Zhi-Hao Cao, David J. Evans

Publication date: 3 September 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805032

zbMATH Keywords

convergencetwo-stage iterative methodsdiagonally compensated reductionlarge linear systemssingular symmetric positive semidefinite matrix

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (2)

Quotient convergence and multi-splitting methods for solving singular linear equations ⋮ On convergence of two-stage iterative scheme

Cites Work

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• The convergence of the two-stage iterative method for Hermitian positive definite linear systems
• The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems
• Two-stage iterative methods for consistent Hermitian positive semidefinite systems
• \(H\)-splittings and two-stage iterative methods
• Convergent nonnegative matrices and iterative methods for consistent linear systems
• Asynchronous two-stage iterative methods
• Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
• Convergence of two-stage iterative methods for Hermitian positive definite matrices
• On convergence of nested stationary iterative methods
• Diagonally compensated reduction and related preconditioning methods
• Projective iterative algorithms with application to multicomponent transport

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