SYMILDL
swMATH ID:  13375 
Software Authors:  Chen Greif, Shiwen He, Paul Liu 
Description:  SYMILDL: Incomplete LDLT Factorization of Symmetric Indefinite and SkewSymmetric Matrices. SYMILDL is a numerical software package that computes incomplete LDLT (or ‘ILDL’) factorizations of symmetric indefinite and skewsymmetric 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 skewsymmetric 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 builtin RCM and AMD reordering, two equilibration strategies, threshold BunchKaufman pivoting and rook pivoting, among other features. We also include an efficient MINRES implementation, applied with a specialized symmetric positive definite preconditioning technique based on the ILDL factorization. 
Homepage:  http://www.cs.ubc.ca/~inutard/html/ 
Related Software:  SparseMatrix; HSL; HSL_MI28; MA57; HSL_MA97; WSMP; LSMR; CUTEst; LSQR; Matlab; MINRES; PDCO; PARDISO; HSL_MA77; HSL_MA87; METIS; MUMPS; CHOLMOD; SuiteSparseQR; MIQR 
Cited in:  11 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

SYMILDL: Incomplete LDL\(^{\mathrm T}\) factorization of symmetric indefinite and skewsymmetric matrices. Zbl 1380.65061 Greif, Chen; He, Shiwen; Liu, Paul 
2017

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Cited by 13 Authors
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Cited in 6 Serials
Cited in 3 Fields
11  Numerical analysis (65XX) 
2  Linear and multilinear algebra; matrix theory (15XX) 
2  Operations research, mathematical programming (90XX) 