Preconditioner updates applied to CFD model problems
Applied Numerical Mathematics
Improving Triangular Preconditioner Updates for Nonsymmetric Linear Systems
Large-Scale Scientific Computing
Updating preconditioners for nonlinear deblurring and denoising image restoration
Applied Numerical Mathematics
Updating incomplete factorization preconditioners for shifted linear systems arising in a wind model
Journal of Computational and Applied Mathematics
Efficient Preconditioner Updates for Shifted Linear Systems
SIAM Journal on Scientific Computing
Nonsymmetric Preconditioner Updates in Newton-Krylov Methods for Nonlinear Systems
SIAM Journal on Scientific Computing
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We consider how to cheaply compute an incomplete Cholesky decomposition of symmetric perturbed matrices $C=\epsilon I +A$ with a small $\epsilon$ when knowing an incomplete decomposition of $A$. Numerical examples are provided that show the effectiveness of the proposed approach.