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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Dollar, H, Gould, N, Schilders, W, Wathen, A
Fformat:	Report
Cyhoeddwyd:	Unspecified 2005

Eitemau Tebyg

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

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

Using constraint preconditioners with regularized saddle-point problems
gan: Dollar, H, et al.
Cyhoeddwyd: (2007)

Approximate factorization constraint preconditioners for saddle-point matrices
gan: Dollar, H, et al.
Cyhoeddwyd: (2006)

Incomplete factorization constraint preconditioners for saddle-point matrices
gan: Dollar, H, et al.
Cyhoeddwyd: (2004)

On implicit-factorization constraint preconditioners
gan: Dollar, H, et al.
Cyhoeddwyd: (2006)

On implicit-factorization constraint preconditioners
gan: Dollar, H, et al.
Cyhoeddwyd: (2004)

Natural preconditioners for saddle point systems
gan: Pestana, J, et al.
Cyhoeddwyd: (2013)

Extending Constraint Preconditioners for Saddle Point Problems
gan: Dollar, H
Cyhoeddwyd: (2005)

Analysis of preconditioners for saddle-point problems
gan: Loghin, D, et al.
Cyhoeddwyd: (2002)

Analysis of preconditioners for saddle-point problems
gan: Loghin, D, et al.
Cyhoeddwyd: (2004)

The Bramble−Pasciak preconditioner for saddle point problems
gan: Stoll, M, et al.
Cyhoeddwyd: (2007)

The Bramble-Pasciak preconditioner for saddle point problems
gan: Stoll, M, et al.
Cyhoeddwyd: (2007)

Preconditioning saddle-point systems with applications in optimization
gan: Dollar, H, et al.
Cyhoeddwyd: (2010)

Natural preconditioning and iterative methods for saddle point systems
gan: Pestana, J, et al.
Cyhoeddwyd: (2015)

Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
gan: Elman, H, et al.
Cyhoeddwyd: (2002)

Three effective preconditioners for double saddle point problem
gan: Yuwen He, et al.
Cyhoeddwyd: (2021-04-01)

A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems
gan: Wei-Hua Luo, et al.
Cyhoeddwyd: (2013-01-01)

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

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

Preconditioned iterative methods for implicit equations
gan: Wathen, A
Cyhoeddwyd: (2000)

Inexact modified positive-definite and skew-Hermitian splitting preconditioners for generalized saddle point problems
gan: Qin-Qin Shen, et al.
Cyhoeddwyd: (2018-10-01)

The alternate direction iterative methods for generalized saddle point systems
gan: Shuanghua Luo, et al.
Cyhoeddwyd: (2019-11-01)

REGULARIZATION-ROBUST PRECONDITIONERS FOR TIME-DEPENDENT PDE-CONSTRAINED OPTIMIZATION PROBLEMS
gan: Pearson, J, et al.
Cyhoeddwyd: (2012)

Regularization-robust preconditioners for time-dependent PDE constrained optimization problems
gan: Pearson, J, et al.
Cyhoeddwyd: (2011)

Progressive Iterative Approximation with Preconditioners
gan: Chengzhi Liu, et al.
Cyhoeddwyd: (2020-09-01)

Combination preconditioning of saddle point systems for positive definiteness
gan: Pestana, J, et al.
Cyhoeddwyd: (2012)

Combination preconditioning of saddle point systems for positive definiteness
gan: Pestana, J, et al.
Cyhoeddwyd: (2011)

Combination preconditioning of saddle point systems for positive definiteness
gan: Pestana, J, et al.
Cyhoeddwyd: (2013)

The antitriangular factorisation of saddle point matrices
gan: Pestana, J, et al.
Cyhoeddwyd: (2013)

Generalized Iterative Methods for Solving Double Saddle Point Problem
gan: Michele Benzi, et al.
Cyhoeddwyd: (2019-12-01)

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

Some Preconditioning Techniques for Saddle Point Problems
gan: Benzi, M, et al.
Cyhoeddwyd: (2006)

On choice of preconditioner for minimum residual methods for nonsymmetric matrices
gan: Pestana, J, et al.
Cyhoeddwyd: (2011)

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

On the choice of preconditioner for minimum residual methods for non-Hermitian matrices
gan: Pestana, J, et al.
Cyhoeddwyd: (2013)

Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems
gan: Hon, S, et al.
Cyhoeddwyd: (2021)

Circulant preconditioners for analytic functions of Toeplitz matrices
gan: Hon, S, et al.
Cyhoeddwyd: (2018)

Generalized accelerated AOR splitting iterative method for generalized saddle point problems
gan: Jin-Song Xiong
Cyhoeddwyd: (2022-02-01)

Schur complement preconditioners for the Navier-Stokes equations
gan: Loghin, D, et al.
Cyhoeddwyd: (2002)