BFSAI-IC swMATH ID: 12938 Software Authors: Carlo Janna; Massimiliano Ferronato; Nicola Castelletto Description: A Block FSAI-ILU parallel preconditioner for symmetric positive definite linear systems. The paper is concerned with a novel parallel preconditioner for symmetric positive definite matrices. It combines a generalized factored sparse approximate inverse (FSAI) with an incomplete LU (ILU) factorization. The block version of their FSAI-ILU preconditioner proves superior to both FSAI and the incomplete block Jacobi by themselves. Homepage: http://www.dmsa.unipd.it/~ferronat/software.html Related Software: SparseMatrix; ILUT; FSAIPACK; ARMS; symrcm; VBARMS; JDQZ; hypre; lobpcg.m; CSparse; BILUTM; BILUM; ML; Trilinos; HSL; ParaSails; ILUPACK; SPARSKIT; WSMP; LAPACK Cited in: 28 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A block FSAI-ILU parallel preconditioner for symmetric positive definite linear systems. Zbl 1220.65037Janna, Carlo; Ferronato, Massimilano; Gambolati, Giuseppe 2010 all top 5 Cited by 37 Authors 15 Ferronato, Massimiliano 10 Janna, Carlo 5 Pini, Giorgio 4 Castelletto, Nicola 4 Franceschini, Andrea 4 Jia, Zhongxiao 3 Gambolati, Giuseppe 2 Bergamaschi, Luca 2 Kang, Wenjie 2 Martínez, Ángeles 2 Zhang, Qian 1 Ahamed, Abal-Kassim Cheik 1 Bu, Yiming 1 Carpentieri, Bruno 1 Carvalho, Luiz Mariano 1 Chen, Xi 1 da Cruz, Julia Sekiguchi 1 de Almeida, Moisés Ceni 1 Djilali, Ned 1 Gazzola, Laura 1 Goldfeld, Paulo 1 Gupta, Anshul 1 Huang, Ting-Zhu 1 Lange, Kyle J. 1 Magoulès, Frédéric 1 Misra, Chinmay 1 Nabeta, Sílvio Ikuyo 1 Paludetto Magri, Victor Antonio 1 Pereira, Fábio Henrique 1 Phoon, Kok-Kwang 1 Putanowicz, Roman 1 Sartoretto, Flavio 1 Shen, Zhaoli 1 Souza, Michael 1 Sui, Pang-Chieh 1 Tchelepi, Hamdi A. 1 White, Joshua A. all top 5 Cited in 15 Serials 5 SIAM Journal on Scientific Computing 3 Journal of Computational Physics 3 Numerical Algorithms 3 Numerical Linear Algebra with Applications 3 Journal of Applied Mathematics 2 Journal of Computational and Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 ACM Transactions on Mathematical Software 1 BIT 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Computational Geosciences 1 ISRN Applied Mathematics all top 5 Cited in 6 Fields 27 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year