The multifrontal solution of unsymmetric sets of linear equations

IS Duff, JK Reid�- SIAM Journal on Scientific and Statistical Computing, 1984 - SIAM
SIAM Journal on Scientific and Statistical Computing, 1984SIAM
We show that general sparse sets of linear equations whose pattern is symmetric (or nearly
so) can be solved efficiently by a multifrontal technique. The main advantages are that the
analysis time is small compared to the factorization time and that analysis can be performed
in a predictable amount of storage. Additionally, there is scope for extra performance during
factorization and solution on a vector or parallel machine. We show performance figures for
examples run on the IBM 3081K and CRAY-1 computers.
We show that general sparse sets of linear equations whose pattern is symmetric (or nearly so) can be solved efficiently by a multifrontal technique. The main advantages are that the analysis time is small compared to the factorization time and that analysis can be performed in a predictable amount of storage. Additionally, there is scope for extra performance during factorization and solution on a vector or parallel machine. We show performance figures for examples run on the IBM 3081K and CRAY-1 computers.
Society for Industrial and Applied Mathematics
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