Beware of unperturbed modified incomplete factorizations:

Abstract: "A short note describes the possible dangers of combining (unperturbed) modified incomplete factorizations with certain ordering strategies of the matrix. Sufficient conditions are given for orderings that lead to zero or vanishing pivots, and numerical tests are given illustrating th...

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Bibliographic Details
Main Author: Eijkhout, Victor (Author)
Format: Book
Language:English
Published: Urbana, Ill. 1991
Series:Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report 1109
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Summary:Abstract: "A short note describes the possible dangers of combining (unperturbed) modified incomplete factorizations with certain ordering strategies of the matrix. Sufficient conditions are given for orderings that lead to zero or vanishing pivots, and numerical tests are given illustrating the latter phenomemon [sic]. In that case introducing perturbations of O(h²) seems to alleviate the problem."
Physical Description:9 S.

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