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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Bibliographische Detailangaben
1. Verfasser: Eijkhout, Victor (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Urbana, Ill. 1991
Schriftenreihe:Center for Supercomputing Research and Development <Urbana, Ill.>: CSRD report 1109
Schlagworte:
Zusammenfassung: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."
Beschreibung:9 S.

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