SuperLU-DIST swMATH ID: 2 Software Authors: Li, X.S., Demmel, J.W. Description: SuperLU is a general purpose library for the direct solution of large, sparse, nonsymmetric systems of linear equations on high performance machines. The library is written in C and is callable from either C or Fortran. The library routines will perform an LU decomposition with partial pivoting and triangular system solves through forward and back substitution. The LU factorization routines can handle non-square matrices but the triangular solves are performed only for square matrices. The matrix columns may be preordered (before factorization) either through library or user supplied routines. This preordering for sparsity is completely separate from the factorization. Working precision iterative refinement subroutines are provided for improved backward stability. Routines are also provided to equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error bounds for the refined solutions. Homepage: http://crd-legacy.lbl.gov/~xiaoye/SuperLU/ Keywords: orms Related Software: MUMPS; PETSc; SparseMatrix; SuperLU; LAPACK; PARDISO; hypre; METIS; Trilinos; UMFPACK; ScaLAPACK; WSMP; BLAS; HSL; ML; SPIKE; MPI; mctoolbox; CUDA; PSPASES Cited in: 95 Publications This software is also referenced in ORMS. Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year SuperLU_DIST: a scalable distributed-memory sparse direct solver for unsymmetric linear systems. Zbl 1068.90591Li, Xiaoye S.; Demmel, James W. 2003 all top 5 Cited by 250 Authors 4 Manguoglu, Murat 4 Schenk, Olaf 3 Amestoy, Patrick R. 3 Bollhöfer, Matthias 3 Buttari, Alfredo 3 Demmel, James Weldon 3 Evgrafov, Anton 3 Grigori, Laura 3 Lin, Lin 3 Maute, Kurt 3 Pingen, Georg 3 Zampini, Stefano 2 Biros, George 2 de Hoop, Maarten V. 2 de Vicente, Javier 2 Farrell, Patrick Emmet 2 Galkowski, Jeffrey 2 Hewett, Russell J. 2 Kees, Christopher E. 2 Marchand, Pierre 2 Mitchell, Lawrence 2 Scott, Jennifer A. 2 Spence, Euan A. 2 Theofilis, Vassilis 2 Valero, Eusebio 2 Wechsung, Florian 2 Xia, Jianlin 2 Yang, Chao 2 Zepeda-Núñez, Leonardo 1 Adolph, Torsten 1 Akay, Hasan U. 1 Anselmann, Mathias 1 Ashcraft, Cleve 1 Avron, Haim 1 Aykanat, Cevdet 1 Azad, Ariful 1 Babuška, Ivo 1 Bahi, Jacques Mohcine 1 Bailey, David Harold 1 Balakrishnan, Venkataramanan 1 Banerjee, Uday 1 Bartels, Alexander 1 Bause, Markus 1 Beams, Natalie N. 1 Bentley, Alistair 1 Berardocco, Luca 1 Bientinesi, Paolo 1 Boiteau, Olivier 1 Boman, Erik G. 1 Bootland, Niall 1 Bui, Quan M. 1 Buluç, Aydın 1 Cai, Xiao-Chuan 1 Casoni, E. 1 Castelletto, Nicola 1 Castillo, José E. 1 Cauley, Stephen 1 Čermák, Martin 1 Chávez, Gustavo 1 Chen, Rongliang 1 Choudary, Chekuri 1 Contassot-Vivier, Sylvain 1 Couturier, Raphaël 1 Crampin, Edmund John 1 Çuğu, İlke 1 Da Silva Garcia Monteiro, Cid 1 D’Ambra, Pasqua 1 Davis, Timothy Alden 1 Dawson, Clint N. 1 Demanet, Laurent 1 di Serafino, Daniela 1 Dimov, Ivan Todor 1 Donfack, Simplice 1 Dongarra, Jack J. 1 Douglas, Craig C. 1 Duff, Iain S. 1 E, Weinan 1 Eguzkitza, Beatriz 1 Eijkhout, Victor L. 1 Fang, Jun 1 Farthing, Matthew W. 1 Feldman, Yuri 1 Ferdous, S. M. 1 Filippone, Salvatore 1 Fohrmeister, Volker 1 Fontes Junior, Edivaldo Figueiredo 1 Garbey, Marc 1 Gärtner, Klaus 1 Gholami, Amir 1 Ghosh, Somnath 1 Gillman, Adrianna 1 Glowinski, Roland 1 Godwin, Jeswin 1 Gravemeier, Volker 1 Gravvanis, George A. 1 Griffith, Sean M. L. 1 Grote, Marcus J. 1 Guarracino, Mario Rosario 1 Gulberg, Yosef 1 Guo, Shu ...and 150 more Authors all top 5 Cited in 37 Serials 16 SIAM Journal on Scientific Computing 8 Journal of Computational Physics 7 ACM Transactions on Mathematical Software 6 Computer Methods in Applied Mechanics and Engineering 5 Journal of Computational and Applied Mathematics 4 Computers and Fluids 3 Computers & Mathematics with Applications 3 International Journal for Numerical Methods in Engineering 3 Applicable Algebra in Engineering, Communication and Computing 3 Acta Numerica 2 Computational Mechanics 2 SIAM Journal on Matrix Analysis and Applications 2 International Journal of Computational Fluid Dynamics 1 Journal of Fluid Mechanics 1 Parallel Computing 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Supercomputing 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Computational Geosciences 1 Archives of Computational Methods in Engineering 1 International Journal of Pure and Applied Mathematics 1 Structural and Multidisciplinary Optimization 1 Computational Management Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Studies in Computational Mathematics 1 Numerical Mathematics: Theory, Methods and Applications 1 Journal of Algorithms & Computational Technology 1 SpringerBriefs in Computer Science 1 SMAI Journal of Computational Mathematics all top 5 Cited in 15 Fields 83 Numerical analysis (65-XX) 24 Fluid mechanics (76-XX) 13 Partial differential equations (35-XX) 13 Computer science (68-XX) 9 Mechanics of deformable solids (74-XX) 8 Combinatorics (05-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year