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• W2792016287 abstract "Summary This paper focuses on efficiently solving large sparse symmetric indefinite systems of linear equations in saddle‐point form using a fill‐reducing ordering technique with a direct solver. Row and column permutations partition the saddle‐point matrix into a block structure constituting a priori pivots of order 1 and 2. The partitioned matrix is compressed by treating each nonzero block as a single entry, and a fill‐reducing ordering is applied to the corresponding compressed graph. It is shown that, provided the saddle‐point matrix satisfies certain criteria, a block L D L T factorization can be computed using the resulting pivot sequence without modification. Numerical results for a range of problems from practical applications using a modern sparse direct solver are presented to illustrate the effectiveness of the approach." @default.
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• W2792016287 date "2018-03-26" @default.
• W2792016287 modified "2023-09-23" @default.
• W2792016287 title "Preordering saddle-point systems for sparse <i>L</i> <i>D</i> <i>L</i> ^<i>T</i> factorization without pivoting" @default.
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• W2792016287 doi "https://doi.org/10.1002/nla.2173" @default.
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