The modified preconditioned simultaneous displacement (MPSD) method

DOI10.1016/0378-4754(84)90062-4zbMath0539.65010OpenAlexW2025651316MaRDI QIDQ794131

David J. Evans, Nikolaos M. Missirlis

Publication date: 1984

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(84)90062-4

zbMATH Keywords

iterative methodssuccessive overrelaxation methodlarge sparse linear systemsmodified preconditioned simultaneous displacement method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (6)

Comparison results between Jacobi and other iterative methods ⋮ Extensions of the symmetric successive overrelaxation theory^∗ ⋮ A comparison of the extrapolated successive overrelaxation and the preconditioned simultaneous displacement methods for augmented linear systems ⋮ Is modified PSD equivalent to modified SOR for two-cyclic matrices? ⋮ The impact of eigenvalue locality on the convergence behavior of the PSD method for two-cyclic matrices ⋮ Convergence of preconditioned iterative methods

Cites Work

• The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations
• The modified alternating direction preconditioning method for the numerical solution of the elliptic self-adjoint second order and biharmonic equations
• On the Convergence of Some Generalized Preconditioned Iterative Methods
• The S.S.O.R. Iteration Scheme for Equations with  1 Ordering
• On the equivalence of SOR, SSOR and USSOR as applied to  1-ordered systems of linear equations
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