Incomplete factorizations of singular linear systems

DOI10.1007/BF01932740zbMath0687.65028OpenAlexW1980406247WikidataQ114233894 ScholiaQ114233894MaRDI QIDQ1263236

Yvan Notay

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01932740

zbMATH Keywords

preconditioningiterative methodsacceleration of convergenceStieltjes matrixincomplete factorizations

Mathematics Subject Classification ID

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

Related Items (9)

On the robustness of modified incomplete factorization methods ⋮ Efficient finite element solvers for the Maxwell equations in the frequency domain ⋮ Conditioning analysis of modified block incomplete factorizations ⋮ Conditioning analysis of sparse block approximate factorizations ⋮ Lower eigenvalue bounds for singular pencils of matrices ⋮ Conditioning of Stieltjes matrices by S/P consistently ordered approximate factorizations ⋮ Modified block-approximate factorization strategies ⋮ An efficient preconditioned CG method for the solution of a class of layered problems with extreme contrasts in the coefficients ⋮ Efficient algebraic solution of reaction-diffusion systems for the cardiac excitation process

Uses Software

• symrcm

Cites Work

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• On the eigenvalue distribution of a class of preconditioning methods
• Upper eigenvalue bounds for pencils of matrices
• On Axelsson's perturbations
• Lower eigenvalue bounds for pencils of matrices
• Polynomial acceleration of iterative schemes associated with subproper splittings
• Preconditioned conjugate gradients for solving singular systems
• Conditioning analysis of positive definite matrices by approximate factorizations
• Lower eigenvalue bounds for singular pencils of matrices
• Conditioning of Stieltjes matrices by S/P consistently ordered approximate factorizations
• Approximate factorizations with S/P consistently ordered M-factors
• On modified incomplete cholesky factorization methods for the solution of problems with mixed boundary conditions and problems with discontinuous material conefficients
• A class of first order factorization methods
• A generalized SSOR method

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