On the Impact of Inverse-Based dropping on ILUs derived from direct methods

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Author(s) : Matthias Bollhöfer

The paper is published : SIAM J. Sci. Comput., 25(1), pp. 86-103, 2003.

MSC 2000

65F05 Direct methods for linear systems and matrix inversion
65F10 Iterative methods for linear systems
65F50 Sparse matrices

Abstract :
In this paper we present a new incomplete LU decomposition which is based on an existing sparse direct solver. In contrast to many incomplete LU decompositions this ILU incorporates information about the inverse factors L^{-1} and U^{-1} which have direct influence on the dropping strategy. We demonstrate in several large scale examples that this implementation constructs a robust preconditioner.

Keywords : sparse matrices, ILU, sparse direct methods, approximate inverse, condition estimator

Notes :
The title in the Journal will be "A robust and efficient ILU that incorporates the growth of the inverse triangular factors."