The antitriangular factorization of saddle point matrices

The antitriangular factorization of saddle point matrices

Mastronardi and Van Dooren [SIAM J. Matrix Anal. Appl., 34 (2013), pp. 173–196] recently introduced the block antitriangular (“Batman”) decomposition for symmetric indefinite matrices. Here we show the simplification of this factorization for saddle point matrices and demonstrate how it represents t...

Полное описание

Библиографические подробности
Главные авторы:	Pestana, J, Wathen, A
Формат:	Journal article
Опубликовано:	Society for Industrial and Applied Mathematics 2014

Схожие документы

The antitriangular factorisation of saddle point matrices
по: Pestana, J, и др.
Опубликовано: (2013)

Approximate factorization constraint preconditioners for saddle-point matrices
по: Dollar, H, и др.
Опубликовано: (2006)

Incomplete factorization constraint preconditioners for saddle-point matrices
по: Dollar, H, и др.
Опубликовано: (2004)

Natural preconditioners for saddle point systems
по: Pestana, J, и др.
Опубликовано: (2013)

On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices
по: Pestana, J
Опубликовано: (2013)

Combination preconditioning of saddle point systems for positive definiteness
по: Pestana, J, и др.
Опубликовано: (2012)

Combination preconditioning of saddle point systems for positive definiteness
по: Pestana, J, и др.
Опубликовано: (2011)

Combination preconditioning of saddle point systems for positive definiteness
по: Pestana, J, и др.
Опубликовано: (2013)

Natural preconditioning and iterative methods for saddle point systems
по: Pestana, J, и др.
Опубликовано: (2015)

Analysis of preconditioners for saddle-point problems
по: Loghin, D, и др.
Опубликовано: (2002)

Analysis of preconditioners for saddle-point problems
по: Loghin, D, и др.
Опубликовано: (2004)

The Bramble−Pasciak preconditioner for saddle point problems
по: Stoll, M, и др.
Опубликовано: (2007)

Some Preconditioning Techniques for Saddle Point Problems
по: Benzi, M, и др.
Опубликовано: (2006)

The Bramble-Pasciak preconditioner for saddle point problems
по: Stoll, M, и др.
Опубликовано: (2007)

Preconditioning saddle-point systems with applications in optimization
по: Dollar, H, и др.
Опубликовано: (2010)

On iterative methods and implicit-factorization preconditioners for regularized saddle-point systems
по: Dollar, H, и др.
Опубликовано: (2005)

Implicit-factorization preconditioning and iterative solvers for regularized saddle-point systems
по: Dollar, H, и др.
Опубликовано: (2006)

Matching Schur complement approximations for certain saddle-point systems
по: Pearson, JW, и др.
Опубликовано: (2018)

Using constraint preconditioners with regularized saddle-point problems
по: Dollar, H, и др.
Опубликовано: (2005)

Using constraint preconditioners with regularized saddle-point problems
по: Dollar, H, и др.
Опубликовано: (2007)

Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices
по: Quan Shi, и др.
Опубликовано: (2016-10-01)

Combination preconditioning and self−adjointness in non−standard inner products with application to saddle point problems
по: Stoll, M, и др.
Опубликовано: (2015)

Combination preconditioning and self-adjointness in non-standard inner products with application to saddle point problems
по: Stoll, M, и др.
Опубликовано: (2007)

On choice of preconditioner for minimum residual methods for nonsymmetric matrices
по: Pestana, J, и др.
Опубликовано: (2011)

On choice of preconditioner for minimum residual methods for nonsymmetric matrices
по: Pestana, J, и др.
Опубликовано: (2010)

Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
по: Elman, H, и др.
Опубликовано: (2002)

On the choice of preconditioner for minimum residual methods for non-Hermitian matrices
по: Pestana, J, и др.
Опубликовано: (2013)

A Preconditioned MINRES method for nonsymmetric Toeplitz matrices
по: Pestana, J, и др.
Опубликовано: (2015)

Newton-PGSS and Its Improvement Method for Solving Nonlinear Systems with Saddle Point Jacobian Matrices
по: Yao Xiao, и др.
Опубликовано: (2021-01-01)

Structured backward errors for block three-by-three saddle point systems with Hermitian and sparsity block matrices
по: Bing Tan, и др.
Опубликовано: (2025-02-01)

On stability in the saddle-point sense
по: Levhari, David, и др.
Опубликовано: (2011)

Hillclimbing saddle point inflation
по: Kiyoharu Kawana, и др.
Опубликовано: (2018-03-01)

Saddle point localization of molecular wavefunctions
по: Mellau, Georg Ch., и др.
Опубликовано: (2017)

Escaping saddle points in constrained optimization
по: Mokhtari, Aryan, и др.
Опубликовано: (2019)

Kaczmarz method for saddle point systems
по: Wang Jinmei, и др.
Опубликовано: (2021-01-01)

Updating QR factorization technique for solution of saddle point problems
по: Salman Zeb, и др.
Опубликовано: (2023-01-01)

Consensus-based optimization for saddle point problems
по: Huang, H, и др.
Опубликовано: (2024)

Escaping Saddle Points with Adaptive Gradient Methods
по: Staib, Matthew, и др.
Опубликовано: (2021)

Saddle Point in the Minimax Converse for Channel Coding
по: Polyanskiy, Yury
Опубликовано: (2013)

Extending Constraint Preconditioners for Saddle Point Problems
по: Dollar, H
Опубликовано: (2005)