On iterative methods and implicit-factorization preconditioners for regularized saddle-point systems

On iterative methods and implicit-factorization preconditioners for regularized saddle-point systems

We consider conjugate-gradient like methods for solving block symmetric indefinite linear systems that arise from saddle point problems or, in particular, regularizations thereof. Such methods require preconditioners that preserve certain sub-blocks from the original systems but allow considerable f...

Deskribapen osoa

Xehetasun bibliografikoak
Egile Nagusiak:	Dollar, H, Gould, N, Schilders, W, Wathen, A
Formatua:	Report
Argitaratua:	Unspecified 2005

Antzeko izenburuak

Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems
nork: Dollar, H, et al.
Argitaratua: (2006)

Using constraint preconditioners with regularized saddle-point problems
nork: Dollar, H, et al.
Argitaratua: (2005)

Using constraint preconditioners with regularized saddle-point problems
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Argitaratua: (2007)

Approximate factorization constraint preconditioners for saddle-point matrices
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Incomplete factorization constraint preconditioners for saddle-point matrices
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On implicit-factorization constraint preconditioners
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Argitaratua: (2006)

On implicit-factorization constraint preconditioners
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Natural preconditioners for saddle point systems
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Extending Constraint Preconditioners for Saddle Point Problems
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Analysis of preconditioners for saddle-point problems
nork: Loghin, D, et al.
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Analysis of preconditioners for saddle-point problems
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The Bramble−Pasciak preconditioner for saddle point problems
nork: Stoll, M, et al.
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The Bramble-Pasciak preconditioner for saddle point problems
nork: Stoll, M, et al.
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Preconditioning saddle-point systems with applications in optimization
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Argitaratua: (2010)

Natural preconditioning and iterative methods for saddle point systems
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Argitaratua: (2015)

Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
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Three effective preconditioners for double saddle point problem
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A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems
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Argitaratua: (2013-01-01)

A modified variant of HSS preconditioner for generalized saddle point problems
nork: Li-Tao Zhang, et al.
Argitaratua: (2022-07-01)

The antitriangular factorization of saddle point matrices
nork: Pestana, J, et al.
Argitaratua: (2014)

Preconditioned iterative methods for implicit equations
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Inexact modified positive-definite and skew-Hermitian splitting preconditioners for generalized saddle point problems
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Argitaratua: (2018-10-01)

The alternate direction iterative methods for generalized saddle point systems
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Argitaratua: (2019-11-01)

REGULARIZATION-ROBUST PRECONDITIONERS FOR TIME-DEPENDENT PDE-CONSTRAINED OPTIMIZATION PROBLEMS
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Regularization-robust preconditioners for time-dependent PDE constrained optimization problems
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Progressive Iterative Approximation with Preconditioners
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Combination preconditioning of saddle point systems for positive definiteness
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Combination preconditioning of saddle point systems for positive definiteness
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Combination preconditioning of saddle point systems for positive definiteness
nork: Pestana, J, et al.
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The antitriangular factorisation of saddle point matrices
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Generalized Iterative Methods for Solving Double Saddle Point Problem
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Argitaratua: (2019-12-01)

Matching Schur complement approximations for certain saddle-point systems
nork: Pearson, JW, et al.
Argitaratua: (2018)

Some Preconditioning Techniques for Saddle Point Problems
nork: Benzi, M, et al.
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On choice of preconditioner for minimum residual methods for nonsymmetric matrices
nork: Pestana, J, et al.
Argitaratua: (2011)

On choice of preconditioner for minimum residual methods for nonsymmetric matrices
nork: Pestana, J, et al.
Argitaratua: (2010)

On the choice of preconditioner for minimum residual methods for non-Hermitian matrices
nork: Pestana, J, et al.
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Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems
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Circulant preconditioners for analytic functions of Toeplitz matrices
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Generalized accelerated AOR splitting iterative method for generalized saddle point problems
nork: Jin-Song Xiong
Argitaratua: (2022-02-01)

Schur complement preconditioners for the Navier-Stokes equations
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