Convergence of preconditioned iterative methods

DOI10.1016/0024-3795(91)90022-OzbMath0724.65026MaRDI QIDQ758102

Xing-Ping Liu

Publication date: 1991

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceeigenvalueseigenvectorsblock preconditioned Jacobi matrixblock preconditioned simultaneous displacement matrixJacobi iterative matrixpreconditioned iterative matrices

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

Convergence of bpsd method forT(q, r)matrix ⋮ Convergence analysis of the parallel multisplitting psd method ⋮ The convergence conditions of the psd iterative method for linear systems ⋮ On the modified preconditioned simultaneous displacement (m-psd) method ⋮ The impact of eigenvalue locality on the convergence behavior of the PSD method for two-cyclic matrices

Cites Work

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• The modified preconditioned simultaneous displacement (MPSD) method
• p-cyclic matrices and the symmetric successive overrelaxation method
• The principle of extrapolation in connection with the accelerated overrelaxation method
• The preconditioned simultaneous displacement method (PSD method) for elliptic difference equations
• On the accelerated SSOR method for solving large linear systems
• On the Convergence of Some Generalized Preconditioned Iterative Methods

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