The Multifrontal Solution of Indefinite Sparse Symmetric Linear
ACM Transactions on Mathematical Software (TOMS)
Computer Solution of Large Sparse Positive Definite
Computer Solution of Large Sparse Positive Definite
ACM SIGNUM Newsletter
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A simple modification to the numerical pivot selection criteria in the multifrontal scheme of Duff and Reid for sparse symmetric matrix factorization is presented. For a given threshold value, the modification allows a broader choice of block 2 X 2 pivots owing to a less restrictive pivoting condition. It also extends the range of permissible threshold values from [0, 1/2) to [0, 0.6404). Moreover, the bound on element growth for stability consideration in the modified scheme is nearly the same as that of the original strategy.