An ILU preconditioner for nonsymmetric positive definite matrices by using the conjugate Gram-Schmidt process

DOI10.1016/j.cam.2005.04.002zbMath1096.65042OpenAlexW2010479734MaRDI QIDQ817473

Mansoor Rezghi, Mohammed Hosseini Ali Abadi

Publication date: 16 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.04.002

zbMATH Keywords

numerical experimentsiterative methodspreconditionersparse systemsILU factorizationrobust methodsapproximate inverse factorizationconjugate Gram-Schmidt methodincomplete factorization preconditioners

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (2)

ILU preconditioning based on the FAPINV algorithm ⋮ Breakdown-free version of ILU factorization for nonsymmetric positive definite matrices

Cites Work

• A new preconditioning technique for solving large sparse linear systems
• Unsymmetric positive definite linear systems
• Regular incomplete factorizations of real positive definite matrices
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Preconditioning techniques for large linear systems: A survey
• Robust Approximate Inverse Preconditioning for the Conjugate Gradient Method
• A robust incomplete Choleski-conjugate gradient algorithm
• An Incomplete Factorization Technique for Positive Definite Linear Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• ROBUST PRECONDITIONERS FOR LINEAR ELASTICITY FEM ANALYSES
• A Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems
• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
• A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
• A robust incomplete factorization preconditioner for positive definite matrices
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