Aztec swMATH ID: 12817 Software Authors: R. S. Tuminaro, M. Herous, S. A. Hutchinson, J. N. Shadid Description: Aztec is a library that provides algorithms for the iterative solution of large sparse linear systems arising in scientific and engineering applications. It is a stand-alone package comprising a set of iterative solvers, preconditioners and matrix-vector multiplication routines. Users are not required to provide their own matrix-vector multiplication routines or preconditioners in order to solve a linear system. The Aztec library is written in C and is also callable from Fortran. Overall, the package was designed to be portable and easy to use. The user may input the linear system in a simple format and Aztec will perform the necessary transformations for the matrix-vector multiplication and preconditioning. After the transformations, the iterative solvers can run efficiently. If the input matrix is suitably partitioned, the efficiency can be further enhanced. The major components of Aztec are implementations of iterative solvers (CG, CGS, BiCGSTAB, GMRES and TFQMR) and preconditioners (point Jacobi, block Jacobi, Gauss-Seidel, least-squares polynomials, and overlapping domain decomposition using sparse LU, ILU, ILUT, BILU and ICC within domains). Aztec supports two different sparse matrix notations: a) a point-entry modified sparse row (MSR) format; b) a block-entry variable block row (VBR) format. These two formats have been generalized for parallel implementation and the library includes highly optimized matrix-vector multiply kernels and preconditioners for both types of data structures. Homepage: http://acts.nersc.gov/aztec/ Related Software: AztecOO; PETSc; Trilinos; MPSalsa; ARPACK; LAPACK; P-SPARSLIB; ML; Chaco; hypre; BlockSolve95; NITSOL; MUMPS; CSparse; METIS; SuperLU; ParMETIS; Harwell-Boeing sparse matrix collection; PSBLAS; Amesos Cited in: 84 Publications all top 5 Cited by 150 Authors 18 Shadid, John N. 9 Pawlowski, Roger P. 9 Salinger, Andrew G. 8 Lin, Paul T. 7 Sala, Marzio 5 Gordon, Dan 5 Gordon, Rachel 5 Hennigan, Gary L. 5 Lehoucq, Richard B. 4 Heroux, Michael A. 4 Saad, Yousef 4 Tuminaro, Ray S. 4 Tuminaro, Raymond S. 3 Burroughs, Elizabeth A. 3 Cyr, Eric C. 3 Filippone, Salvatore 3 Romero, Louis A. 3 Sosonkina, Maria 3 Walker, Homer F. 3 Wall, Wolfgang A. 3 Zhang, Jun 2 Chacón, Luis 2 D’Ambra, Pasqua 2 Devine, Karen D. 2 di Serafino, Daniela 2 Dongarra, Jack J. 2 Frink, Laura J. D. 2 García-Loureiro, Antonio J. 2 Hoekstra, Robert J. 2 Keyes, David Elliot 2 Phillips, Edward G. 2 Phipps, Eric T. 2 Seoane, Natalia 2 Simon, Horst D. 2 Wu, Kesheng 1 Albuquerque, Duarte M. S. 1 Arnold, Dorian C. 1 Baer, Thomas A. 1 Bai, Zhaojun 1 Balay, Satish 1 Banks, Jeffrey W. 1 Bartlett, Roscoe A. 1 Battaglia, Francine 1 Behrens, Jorn 1 Benocci, Carlo 1 Best, Meike 1 Biswas, Rupak 1 Bruhwiler, David L. 1 Burstedde, Carsten 1 Buttari, Alfredo 1 Cairncross, Richard A. 1 Casanova, Henri 1 Christen, Peter 1 Costa, Pedro M. P. 1 Coutsias, Evangelos A. 1 Cox, Christopher L. 1 Çuğu, İlke 1 Danowski, Caroline 1 Davis, Justin R. 1 Degrez, Gérard 1 Demmel, James Weldon 1 Deng, GanBo 1 Dethloff, Klaus 1 Ding, Chris H. Q. 1 Douglas Frink, Laura J. 1 Drumm, C. R. 1 Elman, Howard C. 1 Elmroth, Erik 1 Fang, Zhiwu 1 Fix, George J. 1 Fonseca, Jose A. 1 Fox, Rodney O. 1 Frayssé, Valérie 1 Frickenhaus, Stephan 1 Gee, Michael W. 1 Giraud, Luc 1 Gokarn, Anup 1 Gratton, Serge 1 Gravemeier, Volker 1 Gropp, William D. 1 Handorf, Dörthe 1 Hascoet, Laurent 1 Hill, James C. 1 Hiller, Wolfgang 1 Howle, Vicki E. 1 Hu, Jonathan J. 1 Husbands, Parry 1 Hutchinson, Scott A. 1 Ingber, Marc S. 1 Issman, E. 1 Kanevski, Juri 1 Klimeck, Gerhard 1 Knoll, Dana A. 1 Kolda, Tamara Gibson 1 Kollet, Stefan 1 Langou, Julien 1 Läuter, Matthias 1 Li, Xiaoye 1 Long, Kevin R. 1 Lorenz, Jens ...and 50 more Authors all top 5 Cited in 31 Serials 12 Journal of Computational Physics 10 International Journal for Numerical Methods in Fluids 9 SIAM Journal on Scientific Computing 6 ACM Transactions on Mathematical Software 5 Parallel Computing 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Engineering 2 Computers & Mathematics with Applications 2 Journal of Fluid Mechanics 2 Journal of Computational and Applied Mathematics 2 The Journal of Supercomputing 1 Computers and Fluids 1 Computer Physics Communications 1 Applied Mathematics and Computation 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Engineering Analysis with Boundary Elements 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 International Journal of Numerical Modelling 1 Computational Geosciences 1 Combustion Theory and Modelling 1 Concurrency and Computation: Practice & Experience 1 Journal of Machine Learning Research (JMLR) 1 Communications on Pure and Applied Analysis 1 Software - Environments - Tools all top 5 Cited in 15 Fields 57 Numerical analysis (65-XX) 35 Fluid mechanics (76-XX) 14 Partial differential equations (35-XX) 13 Classical thermodynamics, heat transfer (80-XX) 9 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year