DRIC swMATH ID: 12610 Software Authors: Notay, Yvan Description: DRIC: A dynamic version of the RIC method.A new incomplete factorization method is proposed, differing from previous ones by the way in which the diagonal entries of the triangular factors are defined. A comparison is given with the dynamic modified incomplete factorization methods of O. Axelsson and V. A. Barker [Finite element solution of boundary value problems. Theory and computation (1984; Zbl 0537.65072)] and R. Beauwens [Lect. Notes Math. 1457, 1-16 (1990; Zbl 0713.65026)] and with the relaxed incomplete Cholesky (RIC) method of O. Axelsson and G. Lindskog [Numer. Math. 48, 479-498 (1986; Zbl 0564.65016)]. Theoretical arguments show that the new method is at least as robust as both previous ones, while numerical experiments made in the context of discrete partial differential equations show an effective improvement in many practical circumstances, particularly for anisotropic problems. Homepage: http://onlinelibrary.wiley.com/doi/10.1002/nla.1680010602/abstract Keywords: relaxed incomplete Cholesky method; incomplete factorization; comparison; numerical experiments Related Software: ILUT; ILUM; symrcm; ARMS; SPARSKIT; ITSOL; CGS; BiCGstab; LSQR; MFEM; Netgen; METIS; pARMS; Matlab; AILU; MIQR; PINEAPL; CRAIG; na1; Wesseling Cited in: 23 Documents all top 5 Cited by 38 Authors 4 Van der Vorst, Henk Albertus 3 Beauwens, Robert 3 Notay, Yvan 3 Saad, Yousef 2 Arany, Ilona 2 Botta, Eugen F. F. 2 Milyukova, Olga Yu. 2 Niu, Qiang 2 Osei-Kuffuor, Daniel 2 Vuik, Cornelis 2 Wubs, Fred W. 1 Balla, Katalin 1 de Zeeuw, Paul M. 1 Dekker, Kees 1 Dongarra, Jack J. 1 Duff, Iain S. 1 Galántai, Aurél 1 Grigori, Laura 1 Gu, Ming 1 Gustafsson, Ivar 1 Il’in, Valeriĭ Pavlovich 1 Kumar, Pawan 1 Larin, Maxim R. 1 Li, Ruipeng 1 Li, Xiaoye Sherry 1 Lu, Linzhang 1 MacLachlan, Scott P. 1 Magolu monga Made, Mardochée 1 Meijerink, J. A. 1 Nataf, Frédéric 1 Saint-Georges, Pascal 1 Sorensen, Danny C. 1 Szabó, Barna Aladar 1 Szeidl, György 1 Tombuyses, B. 1 van der Ploeg, Auke 1 Vassilevski, Panayot Spirov 1 Warzee, Guy all top 5 Cited in 16 Serials 3 Computers & Mathematics with Applications 2 Journal of Computational and Applied Mathematics 2 Parallel Computing 2 Applied Numerical Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 SIAM Journal on Scientific Computing 1 Computers and Structures 1 Journal of Computational Physics 1 Applied Mathematics and Computation 1 BIT 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Numerical Linear Algebra with Applications 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Differential Equations 1 Software - Environments - Tools all top 5 Cited in 9 Fields 20 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Geophysics (86-XX) Citations by Year