PARDISO

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.


References in zbMATH (referenced in 233 articles , 1 standard article )

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  1. Bernaschi, Massimo; Carrozzo, Mauro; Franceschini, Andrea; Janna, Carlo: A dynamic pattern factored sparse approximate inverse preconditioner on graphics processing units (2019)
  2. Bollhöfer, Matthias; Eftekhari, Aryan; Scheidegger, Simon; Schenk, Olaf: Large-scale sparse inverse covariance matrix estimation (2019)
  3. Botti, Lorenzo; Di Pietro, Daniele A.; Droniou, Jérôme: A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam’s device (2019)
  4. Du, Cheng-Han; Chiou, Yih-Peng; Wang, Weichung: Compressed hierarchical Schur algorithm for frequency-domain analysis of photonic structures (2019)
  5. Gander, Martin J.; Zhang, Hui: A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and optimized Schwarz methods (2019)
  6. Herdeiro, C.; Perapechka, I.; Radu, E.; Shnir, Ya.: Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model (2019)
  7. Kopaničáková, Alena; Krause, Rolf; Tamstorf, Rasmus: Subdivision-based nonlinear multiscale cloth simulation (2019)
  8. Kuřátko, Jan: Factorization of saddle-point matrices in dynamical systems optimization -- reusing pivots (2019)
  9. Li, Ruipeng; Xi, Yuanzhe; Erlandson, Lucas; Saad, Yousef: The eigenvalues slicing library (EVSL): algorithms, implementation, and software (2019)
  10. Scott, Jennifer A.; Tůma, Miroslav: Sparse stretching for solving sparse-dense linear least-squares problems (2019)
  11. Su, Wei; Wang, Peng; Zhang, Yonghao; Wu, Lei: A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation (2019)
  12. Bilgen, Carola; Kopaničáková, Alena; Krause, Rolf; Weinberg, Kerstin: A phase-field approach to conchoidal fracture (2018)
  13. Breuer, Thomas; Bussieck, Michael; Cao, Karl-Kiên; Cebulla, Felix; Fiand, Frederik; Gils, Hans Christian; Gleixner, Ambros; Khabi, Dmitry; Koch, Thorsten; Rehfeldt, Daniel; Wetzel, Manuel: Optimizing large-scale linear energy system problems with block diagonal structure by using parallel interior-point methods (2018)
  14. Druinsky, Alex; Carlebach, Eyal; Toledo, Sivan: Wilkinson’s inertia-revealing factorization and its application to sparse matrices. (2018)
  15. Herdeiro, C.; Perapechka, I.; Radu, E.; Shnir, Ya.: Skyrmions around Kerr black holes and spinning BHs with Skyrme hair (2018)
  16. Herrmann, Lukas; Lang, Annika; Schwab, Christoph: Numerical analysis of lognormal diffusions on the sphere (2018)
  17. Hook, James; Scott, Jennifer; Tisseur, Françoise; Hogg, Jonathan: A Max-plus approach to incomplete Cholesky factorization preconditioners (2018)
  18. Kyziropoulos, Panagiotis E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A.: A class of symmetric factored approximate inverses and hybrid two-level solver (2018)
  19. Li, Xin; Li, Xiang; Zhang, Dongxiao: Generalized prism grid: a pillar-based unstructured grid for simulation of reservoirs with complicated geological geometries (2018)
  20. Moutafis, Byron E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A.: Parallel Schur complement techniques based on multiprojection methods (2018)

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Further publications can be found at: http://www.pardiso-project.org/#references