ILUS swMATH ID: 7245 Software Authors: Chow, Edmond; Saad, Yousef Description: ILUS: An incomplete LU preconditioner in sparse skyline format Incomplete LU factorizations are among the most effective preconditioners for solving general large, sparse linear systems arising from practical engineering problems. This paper shows how an ILU factorization may be easily computed in sparse skyline storage format, as opposed to traditional row-by-row schemes. This organization of the factorization has many advantages, including its amenability when the original matrix is in skyline format, the ability to dynamically monitor the stability of the factorization and the fact that factorizations may be produced with symmetric structure. Numerical results are presented for Galerkin finite element matrices arising from the standard square lid-driven cavity problem. Homepage: http://www-users.cs.umn.edu/~saad/software/ Keywords: factorization; Galerkin finite element matrices; square lid-driven cavity problem Related Software: ILUT; SparseMatrix; symrcm; ILUM; SPARSKIT; FIDAP; CGS; BILUTM; BILUM; BoomerAMG; ARMS; Harwell-Boeing sparse matrix collection; ITSOL; ParILUT; Trilinos; CSparse; BFSAI-IC; hypre; SchurRAS; METIS Cited in: 16 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year ILUS: An incomplete LU preconditioner in sparse skyline format. Zbl 0896.76037Chow, Edmond; Saad, Yousef 1997 all top 5 Cited by 21 Authors 5 Chow, Edmond 4 Saad, Yousef 3 Khojasteh Salkuyeh, Davod 2 Benzi, Michele 2 Mayer, Jan 2 Toutounian, Faezeh 1 Anzt, Hartwig 1 Arbenz, Peter 1 Chinellato, Oscar 1 Comerlati, Andrea 1 Dongarra, Jack J. 1 Ferronato, Massimiliano 1 Gambolati, Giuseppe 1 Janna, Carlo 1 Karimi, Saeed 1 Li, Na 1 Li, Xiaomei 1 Song, Junqiang 1 Tůma, Miroslav 1 Wu, Jianping 1 Zhao, Jun all top 5 Cited in 10 Serials 4 SIAM Journal on Scientific Computing 3 Numerical Linear Algebra with Applications 2 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Computational and Applied Mathematics 1 Applied Numerical Mathematics 1 Advances in Engineering Software 1 Journal of Applied Mathematics and Computing 1 ISRN Applied Mathematics all top 5 Cited in 7 Fields 15 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 1 History and biography (01-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year