Parallel hybrid iteration methods for block bordered linear systems

DOI10.1016/S0096-3003(96)00172-5zbMath0907.65027OpenAlexW2095440989MaRDI QIDQ1126588

Zhong Zhi Bai

Publication date: 8 October 1998

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00172-5

zbMATH Keywords

convergenceparallel computation\(M\)-matrixiterative methodssuccessive overrelaxationGauss-Seidel method\(H\)-matrixmultisplittingaccelerated overrelaxationlarge sparse block bordered systems

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (4)

Max norm estimation for the inverse of block matrices ⋮ The block preconditioned \textit{LSQR} and \textit{GL}-\textit{LSQR} algorithms for the block partitioned matrices ⋮ Fast Solvers for Systems of Linear Equations with Block-Band Matrices ⋮ A class of parallel hybrid two-stage iteration methods for block bordered linear systems

Cites Work

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• Convergence of parallel multisplitting iterative methods for M-matrices
• Topological proofs for certain theorems on matrices with non-negative elements
• On the convergence of the parallel multisplitting AOR algorithm
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• Matrix multi-splitting multi-parameter relaxation methods
• Accelerated Overrelaxation Method

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