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ILU(k) Preconditioner

version (8.73 KB) by Killian Miller
Computes an ILU factorization with fill level k for general sparse matrices.


Updated 14 Mar 2015

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This function computes the LU factors of an incomplete LU factorization with fill level k of a square sparse matrix A. Matlab's ilu function offers ILU(0) and ILU with threshold based dropping strategies, but does not offer ILU(k) with general fill level k. The code is implemented as a C++ MEX-file and has been optimized for speed while at the same time trying to minimize memory usage. Please note that for an ilu(0) factorization Matlab's built-in ilu function should be used as it has been optimized for this case and will be faster.
1. Saad, Y., Iterative Methods for Sparse Linear Systems, SIAM, Philadelphia, PA, 2nd Edition, 2003.
2. Dong, X. and Cooperman, G., Task-Oriented Parallel ILU(k) Preconditioning on Computer Cluster and Multi-core Machine, Preprint, arXiv:0803.0048 [cs.DC], 2011.

Cite As

Killian Miller (2022). ILU(k) Preconditioner (, MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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