On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices

On the eigenvalues and eigenvectors of nonsymmetric saddle point matrices preconditioned by block triangular matrices

Block lower triangular and block upper triangular matrices are popular preconditioners for nonsymmetric saddle point matrices. In this note we show that a block lower triangular preconditioner gives the same spectrum as a block upper triangular preconditioner and that the eigenvectors of the two pre...

書目詳細資料
主要作者:	Pestana, J
格式:	Journal article
出版:	2013

相似書籍

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

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

Sensitivity of Eigenvalues to Nonsymmetrical, Dissipative Control Matrices
由: Vernon H. Neubert
出版: (1993-01-01)

On Eigenvalues and Eigenvectors of Perturbed Pairwise Comparison Matrices
由: Pudji Astuti, et al.
出版: (2013-07-01)

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

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

Design of Damping and Control Matrices by Modification of Eigenvalues and Eigenvectors
由: Vernon H. Neubert
出版: (1994-01-01)

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

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

Neural-Network-Based Approach for Extracting Eigenvectors and Eigenvalues of Real Normal Matrices and Some Extension to Real Matrices
由: Xiongfei Zou, et al.
出版: (2013-01-01)

Remarks on Some Newton and Chebyshev-type Methods for Approximation Eigenvalues and Eigenvectors of Matrices
由: I. Pavaloiu, et al.
出版: (1999-08-01)

Nonvanishing minors of eigenvector matrices and consequences
由: Emmrich Tarek
出版: (2024-08-01)

Eigenvalues of matrices /
由: 346065 Chatelin, Francoise, et al.
出版: (1993)

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

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

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

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

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

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

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

Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices
由: Verde-Star Luis
出版: (2015-11-01)

Limiting behavior of eigenvectors of large Wigner matrices
由: Bai, Z. D., et al.
出版: (2013)

Self-Dual Codes, Symmetric Matrices, and Eigenvectors
由: Jon-Lark Kim, et al.
出版: (2021-01-01)

Some studies on the geometry of block triangular matrices
由: Leong, C.W.
出版: (2011)

On the Drazin inverse of anti-triangular block matrices
由: Daochang Zhang, et al.
出版: (2022-04-01)

Two Inverse Eigenproblems for Certain Symmetric and Nonsymmetric Pentadiagonal Matrices
由: S. Arela-Pérez, et al.
出版: (2022-08-01)

Ordering Properties of the First Eigenvector of Certain Similarity Matrices
由: Matthijs J. Warrens, et al.
出版: (2015-01-01)

A Representation of the Drazin Inverse for the Sum of Two Matrices and the Anti-Triangular Block Matrices
由: Li Guo, et al.
出版: (2023-08-01)

Preconditioning kernel matrices
由: Cutajar, K, et al.
出版: (2016)

Algorithms for simultaneous block triangularization and block diagonalization of sets of matrices
由: Ahmad Y. Al-Dweik, et al.
出版: (2023-06-01)

A smoothing spline algorithm to interpolate and predict the eigenvalues of matrices extracted from the sequence of preconditioned banded symmetric Toeplitz matrices
由: Salima Kouser, et al.
出版: (2024-04-01)

A new generalized shift-splitting method for nonsymmetric saddle point problems
由: Tao Wei, et al.
出版: (2022-08-01)

Central limit theorem for eigenvectors of heavy tailed matrices
由: Benaych-Georges, Florent, et al.
出版: (2014)

Universality for a global property of the eigenvectors of Wigner matrices
由: Bao, Zhigang, et al.
出版: (2014)

EA/AE-Eigenvectors of Interval Max-Min Matrices
由: Martin Gavalec, et al.
出版: (2020-06-01)

Block Preconditioned SSOR Methods for -Matrices Linear Systems
由: Zhao-Nian Pu, et al.
出版: (2013-01-01)

On Factorization and Calculation of Determinant of Block Matrices with Triangular Submatrices
由: Fatma Altun, et al.
出版: (2024-12-01)

Asymptotic behaviour and approximation of eigenvalues for unbounded block Jacobi matrices
由: Maria Malejki
出版: (2010-01-01)

Eigenvalues and Pseudospectra of Rectangular Matrices
由: Wright, T, et al.
出版: (2001)

Eigenvalues of multipart matrices and their applications
由: Ranjit Mehatari
出版: (2023-09-01)