Semi-convergence analysis of Uzawa-AOR method for singular saddle point problems
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Publication:520287
DOI10.1007/s40314-015-0233-4zbMath1364.65082OpenAlexW750337565MaRDI QIDQ520287
Publication date: 3 April 2017
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-015-0233-4
preconditioningiterative methodsemi-convergencesingular saddle point problemsUzawa-accelerated overrelaxation (AOR) method
Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)
Related Items
The modified Uzawa methods for solving singular linear systems ⋮ Class of Uzawa-NPHSS iteration method for solving nonsingular and singular saddle point problems ⋮ GSTS-Uzawa method for a class of complex singular saddle point problems ⋮ A general Uzawa-type method for a class of \(2\times 2\) block structure linear system ⋮ ON THE UPSS METHOD FOR NON-HERMITIAN SINGULAR SADDLE POINT PROBLEMS
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Cites Work
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- Conjugate gradient method for rank deficient saddle point problems
- On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems
- A modified symmetric successive overrelaxation method for augmented systems
- Two augmentation preconditioners for nonsymmetric and indefinite saddle point linear systems with singular \((1, 1)\) blocks
- New block triangular preconditioner for linear systems arising from the discretized time-harmonic Maxwell equations
- The generalized HSS method for solving singular linear systems
- Symmetric SOR method for augmented systems
- On block-diagonally preconditioned accelerated parameterized inexact Uzawa method for singular saddle point problems
- A modified SSOR iterative method for augmented systems
- The spectral properties of the Hermitian and skew-Hermitian splitting preconditioner for generalized saddle point problems
- On semi-convergence of parameterized Uzawa methods for singular saddle point problems
- New block triangular preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks
- Block SOR methods for rank-deficient least-squares problems
- Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
- The Ostrowski-Reich theorem for SOR iterations: Extensions to the rank deficient case
- Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hemitian positive semidefinite linear systems
- Preconditioned conjugate gradient method for generalized least squares problems
- A generalized preconditioned HSS method for singular saddle point problems
- Semi-convergence analysis of Uzawa methods for singular saddle point problems
- Semi-convergence analysis of the Uzawa-SOR methods for singular saddle point problems
- A generalization of parameterized inexact Uzawa method for singular saddle point problems
- A note on block-diagonally preconditioned PIU methods for singular saddle point problems
- ANALYSIS OF THE INEXACT UZAWA ALGORITHMS FOR NONLINEAR SADDLE-POINT PROBLEMS
- On the convergence of general stationary iterative methods for range-Hermitian singular linear systems
- Structured preconditioners for nonsingular matrices of block two-by-two structures
- Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices
- Numerical solution of saddle point problems
- Algorithm 866
- Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
- Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
- On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
- Spectral properties of the preconditioned AHSS iteration method for generalized saddle point problems