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...

Descrizione completa

Dettagli Bibliografici
Autori principali:	Pestana, J, Wathen, A
Natura:	Journal article
Pubblicazione:	Society for Industrial and Applied Mathematics 2014

Documenti analoghi

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

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

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

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

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

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

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

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

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

New results on topological dynamics of antitriangular maps
di: Francisco Balibrea, et al.
Pubblicazione: (2001-04-01)

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

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

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

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

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

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

On iterative methods and implicit-factorization preconditioners for regularized saddle-point systems
di: Dollar, H, et al.
Pubblicazione: (2005)

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

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

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

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

Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices
di: Quan Shi, et al.
Pubblicazione: (2016-10-01)

Combination preconditioning and self−adjointness in non−standard inner products with application to saddle point problems
di: Stoll, M, et al.
Pubblicazione: (2015)

Combination preconditioning and self-adjointness in non-standard inner products with application to saddle point problems
di: Stoll, M, et al.
Pubblicazione: (2007)

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

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

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

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

A Preconditioned MINRES method for nonsymmetric Toeplitz matrices
di: Pestana, J, et al.
Pubblicazione: (2015)

Newton-PGSS and Its Improvement Method for Solving Nonlinear Systems with Saddle Point Jacobian Matrices
di: Yao Xiao, et al.
Pubblicazione: (2021-01-01)

Structured backward errors for block three-by-three saddle point systems with Hermitian and sparsity block matrices
di: Bing Tan, et al.
Pubblicazione: (2025-02-01)

On stability in the saddle-point sense
di: Levhari, David, et al.
Pubblicazione: (2011)

Hillclimbing saddle point inflation
di: Kiyoharu Kawana, et al.
Pubblicazione: (2018-03-01)

Saddle point localization of molecular wavefunctions
di: Mellau, Georg Ch., et al.
Pubblicazione: (2017)

Escaping saddle points in constrained optimization
di: Mokhtari, Aryan, et al.
Pubblicazione: (2019)

Saddle point approximation to Higher order
di: Nicola Fabiano, et al.
Pubblicazione: (2022-04-01)

Kaczmarz method for saddle point systems
di: Wang Jinmei, et al.
Pubblicazione: (2021-01-01)

Updating QR factorization technique for solution of saddle point problems
di: Salman Zeb, et al.
Pubblicazione: (2023-01-01)

Consensus-based optimization for saddle point problems
di: Huang, H, et al.
Pubblicazione: (2024)

Escaping Saddle Points with Adaptive Gradient Methods
di: Staib, Matthew, et al.
Pubblicazione: (2021)