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- W1594513385 abstract "SYM-ILDL is a numerical software package that computes incomplete $LDL^{T}$ (or `ILDL') factorizations of symmetric indefinite and real skew-symmetric matrices. The core of the algorithm is a Crout variant of incomplete LU (ILU), originally introduced and implemented for symmetric matrices by [Li and Saad, Crout versions of ILU factorization with pivoting for sparse symmetric matrices, Transactions on Numerical Analysis 20, pp. 75--85, 2005]. Our code is economical in terms of storage and it deals with real skew-symmetric matrices as well, in addition to symmetric ones. The package is written in C++ and it is templated, open source, and includes a MATLAB interface. The code includes built-in RCM and AMD reordering, two equilibration strategies, threshold Bunch-Kaufman pivoting and rook pivoting, as well as a wrapper to MC64, a popular matching based equilibration and reordering algorithm. We also include two built-in iterative solvers: SQMR preconditioned with ILDL, or MINRES preconditioned with a symmetric positive definite preconditioner based on the ILDL factorization." @default.
- W1594513385 created "2016-06-24" @default.
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- W1594513385 date "2015-05-28" @default.
- W1594513385 modified "2023-10-18" @default.
- W1594513385 title "SYM-ILDL: Incomplete $LDL^{T}$ Factorization of Symmetric Indefinite and Skew-Symmetric Matrices" @default.
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- W1594513385 doi "https://doi.org/10.48550/arxiv.1505.07589" @default.
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