BILUTM swMATH ID: 7243 Software Authors: Saad, Yousef; Zhang, Jun Description: BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices The purpose of this paper is to give an overview and background on multigrid preconditioning techniques. This preconditioner combines a high accuracy in complete LU factorization with an algebraic multilevel recursive reduction. This is implemented which is shown to be efficient and illustrated by a number of experiments. Homepage: http://dl.acm.org/citation.cfm?id=334046 Keywords: incomplete LU factorization; ILUT; multilevel ILU preconditioner; Krylov subspace methods; multielimination ILU factorization; numerical examples; multigrid preconditioning; algebraic multilevel recursive reduction Related Software: BILUM; ILUM; ARMS; ILUT; SparseMatrix; pARMS; symrcm; SPARSKIT; BPKit; ITSOL; BoomerAMG; BFSAI-IC; ParaSails; PARDISO; LAPACK; MUMPS; SuperLU; ILUS; Aztec; AztecOO Cited in: 40 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices. Zbl 0942.65045Saad, Yousef; Zhang, Jun 1999 all top 5 Cited by 45 Authors 18 Zhang, Jun 12 Saad, Yousef 3 Shen, Chi 3 Wang, Kai 2 Ferronato, Massimiliano 2 Lee, Jeonghwa 2 Li, Zhongze 2 Little, Leigh 2 Sosonkina, Masha 2 Souhar, O. 2 Wang, Yin 1 Benzi, Michele 1 Carey, Graham Francis 1 Carpentieri, Bruno 1 Carvalho, Luiz Mariano 1 Chang, Qianshun 1 da Cruz, Julia Sekiguchi 1 de Almeida, Moisés Ceni 1 Filelis-Papadopoulos, Christos K. 1 Gambolati, Giuseppe 1 Geng, Xinyu 1 Goldfeld, Paulo 1 Gravvanis, George A. 1 Janna, Carlo 1 Khojasteh Salkuyeh, Davod 1 Kyziropoulos, Panagiotis E. 1 Liao, Jia 1 MacLachlan, Scott P. 1 Melson, John T. 1 Pardhanani, Anand L. 1 Rafiei, Amin 1 Roohani, Hadi 1 Sala, Marzio 1 Sameh, Ahmed H. 1 Shi, Yuying 1 Smoch, Laurent 1 Sosonkina, Maria 1 Soulaimani, Azzeddine 1 Souza, Michael 1 Suchomel, Brian 1 Touihri, Ridha 1 Watson, Layne Terry 1 Xiao, Tong 1 Zhao, Jennifer Jing 1 Zhu, Yao all top 5 Cited in 22 Serials 5 SIAM Journal on Scientific Computing 4 Applied Mathematics and Computation 4 Numerical Linear Algebra with Applications 3 Applied Numerical Mathematics 3 Journal of Applied Mathematics and Computing 2 Journal of Computational Physics 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Matrix Analysis and Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 International Journal for Numerical Methods in Engineering 1 Parallel Computing 1 Journal of Parallel and Distributed Computing 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Opuscula Mathematica 1 International Journal of Numerical Modelling 1 The Korean Journal of Computational & Applied Mathematics 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 International Journal of Computational Methods 1 ISRN Applied Mathematics all top 5 Cited in 8 Fields 38 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year