## PARDISO

 swMATH ID: 679 Software Authors: Olaf Schenk, Klaus Gärtner, George Karypis, Robert Luce, Peter Carbonetto Description: The package PARDISO is a thread-safe, high-performance, robust, memory efficient and easy to use software for solving large sparse symmetric and unsymmetric linear systems of equations on shared-memory and distributed-memory multiprocessors. The solver has has been licensed to thousands of researchers at international scientific laboratories and universities since its first release in 2004. Features of the library version: Unsymmetric, structurally symmetric or symmetric systems, real or complex, positive definite or indefinite, hermitian. LU with complete pivoting. Parallel on SMPs and Cluster of SMPs. Automatic combination of iterative and direct solver algorithms to accelerate the solution process for very large three-dimensional systems. Homepage: http://www.pardiso-project.org/ Programming Languages: C, C++, Fortran, Matlab Operating Systems: Linux, Windows, Mac OS Keywords: shared memory multiprocessors Related Software: MUMPS; SparseMatrix; LAPACK; UMFPACK; MKL; PETSc; SuperLU; ARPACK; HSL; METIS; CSparse; Ipopt; SuperLU-DIST; MA57; SPIKE; WSMP; BLAS; Triangle; CHOLMOD; Gmsh Referenced in: 285 Publications Further Publications: http://www.pardiso-project.org/#references
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### Referenced by 616 Authors

 18 Schenk, Olaf 10 Manguoglu, Murat 9 Linke, Alexander 8 Bollhöfer, Matthias 6 Gärtner, Klaus 6 Scott, Jennifer A. 5 Bruggi, Matteo 5 Fuhrmann, Jürgen 5 Hogg, Jonathan D. 5 Hulsen, Martien A. 5 Sameh, Ahmed H. 5 Vincent, Stéphane 4 Badia, Santiago 4 Caltagirone, Jean-Paul 4 Dietzsch, Julian 4 Etienne, Stéphane 4 Gross, Michael B. 4 Hartmann, Stefan 4 Krause, Rolf H. 4 Martín, Alberto F. 4 Principe, Javier R. 4 Su, Wei 4 Tsamopoulos, John A. 4 Zhang, Yonghao 3 D’Avino, Gaetano 3 Dimakopoulos, Yannis 3 Fiebach, André 3 Filelis-Papadopoulos, Christos K. 3 Gravvanis, George A. 3 Gruttmann, Friedrich 3 Hamkar, Ahmad-Wahadj 3 Maffettone, Pier Luca 3 Pardo, David 3 Paszyński, Maciej 3 Perapechka, Ilya 3 Schiela, Anton 3 Treister, Eran 3 Venini, Paolo 3 Wächter, Andreas 3 Wu, Lei 2 Aquino, Wilkins 2 Bartelt, Matthias 2 Benedetti, Ivano 2 Bonnet, Marc 2 Calo, Victor Manuel 2 Clees, Tanja 2 Collier, Nathan 2 Costanzo, Francesco 2 Dalcín, Lisandro D. 2 Di Pietro, Daniele Antonio 2 Diaz, Manuel I. 2 Duff, Iain S. 2 Estivalezes, Jean-Luc 2 Fichtner, Wolfgang 2 Glitzky, Annegret 2 Grif, Alexander M. 2 Guhlke, Clemens 2 Gulizzi, Vincenzo 2 Haber, Eldad 2 Hagemann, Michael 2 Herdeiro, Carlos A. R. 2 Jandron, Michael A. 2 Kiselev, Dmitry S. 2 Kolditz, Olaf 2 Kopaničáková, Alena 2 Kummer, Florian 2 Le Borne, Sabine 2 Le Tallec, Patrick 2 Mavrič, Boštjan 2 Mehrmann, Volker 2 Mei, Gang 2 Meillot, Erick 2 Merdon, Christian 2 Müller, Rüdiger 2 Nackenhorst, Udo 2 Negrut, Dan 2 Pechstein, Clemens 2 Persova, Marina G. 2 Polizzi, Eric 2 Quintana-Ortí, Enrique S. 2 Rank, Ernst 2 Rasmussen, Henrik Koblitz 2 Rixen, Daniel J. 2 Román Marín, Jose Manuel 2 Römer, Rudolf A. 2 Rothe, Steffen 2 Roux, François-Xavier 2 Ruffa, Anthony A. 2 SantAnna, Rafael 2 Šarler, Božidar 2 Sarthou, Arthur 2 Sivas, Abdullah Ali 2 Soloveichik, Yuri G. 2 Thum, Peter 2 Tisseur, Françoise 2 Torrilhon, Manuel 2 Vagin, Denis V. 2 Van Gijzen, Martin Bastiaan 2 Vuik, Cornelis 2 Weichert, Dieter ...and 516 more Authors
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### Referenced in 73 Serials

 33 Computer Methods in Applied Mechanics and Engineering 28 Journal of Computational Physics 24 SIAM Journal on Scientific Computing 14 Computational Mechanics 12 Computers and Fluids 9 International Journal for Numerical Methods in Engineering 9 Computational Optimization and Applications 8 Computers & Mathematics with Applications 7 Numerical Linear Algebra with Applications 6 ACM Transactions on Mathematical Software 6 Applied Numerical Mathematics 6 Journal of Non-Newtonian Fluid Mechanics 5 Journal of Computational and Applied Mathematics 5 Numerische Mathematik 5 Computational Geosciences 4 Journal of High Energy Physics 3 Computer Physics Communications 3 Parallel Computing 3 Numerical Methods for Partial Differential Equations 3 Numerical Algorithms 3 Linear Algebra and its Applications 3 Engineering Analysis with Boundary Elements 3 Archives of Computational Methods in Engineering 2 Journal of Optimization Theory and Applications 2 Mathematics and Computers in Simulation 2 Meccanica 2 Journal of Scientific Computing 2 Applied Mathematical Modelling 2 SIAM Review 2 Mathematical Programming. Series A. Series B 2 Archive of Applied Mechanics 2 ETNA. Electronic Transactions on Numerical Analysis 2 International Journal of Computational Fluid Dynamics 2 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 2 European Journal of Mechanics. A. Solids 2 European Journal of Mechanics. B. Fluids 2 International Journal of Computational Methods 2 Algorithms 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Journal of the Mechanics and Physics of Solids 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 BIT 1 Computing 1 Bulletin of the Korean Mathematical Society 1 Computer Aided Geometric Design 1 ACM Transactions on Graphics 1 FGCS. Future Generation Computer Systems 1 Applications of Mathematics 1 Journal of Global Optimization 1 European Journal of Operational Research 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 INFORMS Journal on Computing 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of the ACM 1 Journal of Applied Mathematics 1 Milan Journal of Mathematics 1 Acta Numerica 1 GAMM-Mitteilungen 1 Optimization Letters 1 Advanced Modeling and Optimization 1 Mathematical Programming Computation 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Mathematics in Industry 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Theoretical Biology 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Advances in Applied Mathematics (Boca Raton)
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### Referenced in 24 Fields

 180 Numerical analysis (65-XX) 73 Fluid mechanics (76-XX) 71 Mechanics of deformable solids (74-XX) 26 Partial differential equations (35-XX) 23 Operations research, mathematical programming (90-XX) 15 Optics, electromagnetic theory (78-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Geophysics (86-XX) 10 Computer science (68-XX) 9 Biology and other natural sciences (92-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Mechanics of particles and systems (70-XX) 6 Quantum theory (81-XX) 5 Combinatorics (05-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)