Some conditions for existence and stability of relaxed incomplete LU factorizations

DOI10.1016/S0168-9274(00)00065-9zbMath0984.65027WikidataQ114121563 ScholiaQ114121563MaRDI QIDQ5939894

Guiding Gu

Publication date: 14 May 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilitypreconditioningincomplete LU factorization

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

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• Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems
• On the eigenvalue distribution of a class of preconditioning methods
• Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems
• Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems
• Experimental study of ILU preconditioners for indefinite matrices
• An incomplete factorization preconditioning method based on modification of element matrices
• A block EN algorithm for nonsymmetric linear systems with multiple right-hand sides
• On the Stability of Relaxed Incomplete Lu Factorizations
• A Stability Analysis of Incomplete LU Factorizations
• On the Robustness of ILU Smoothing
• 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
• A class of first order factorization methods
• Diagonally compensated reduction and related preconditioning methods

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