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 219 articles , 1 standard article )

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  1. Bollhöfer, Matthias; Eftekhari, Aryan; Scheidegger, Simon; Schenk, Olaf: Large-scale sparse inverse covariance matrix estimation (2019)
  2. Du, Cheng-Han; Chiou, Yih-Peng; Wang, Weichung: Compressed hierarchical Schur algorithm for frequency-domain analysis of photonic structures (2019)
  3. 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)
  4. 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)
  5. Kuřátko, Jan: Factorization of saddle-point matrices in dynamical systems optimization -- reusing pivots (2019)
  6. Bilgen, Carola; Kopaničáková, Alena; Krause, Rolf; Weinberg, Kerstin: A phase-field approach to conchoidal fracture (2018)
  7. 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)
  8. Druinsky, Alex; Carlebach, Eyal; Toledo, Sivan: Wilkinson’s inertia-revealing factorization and its application to sparse matrices. (2018)
  9. Herdeiro, C.; Perapechka, I.; Radu, E.; Shnir, Ya.: Skyrmions around Kerr black holes and spinning BHs with Skyrme hair (2018)
  10. Herrmann, Lukas; Lang, Annika; Schwab, Christoph: Numerical analysis of lognormal diffusions on the sphere (2018)
  11. Hook, James; Scott, Jennifer; Tisseur, Françoise; Hogg, Jonathan: A Max-plus approach to incomplete Cholesky factorization preconditioners (2018)
  12. Kyziropoulos, Panagiotis E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A.: A class of symmetric factored approximate inverses and hybrid two-level solver (2018)
  13. Li, Xin; Li, Xiang; Zhang, Dongxiao: Generalized prism grid: a pillar-based unstructured grid for simulation of reservoirs with complicated geological geometries (2018)
  14. Moutafis, Byron E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A.: Parallel Schur complement techniques based on multiprojection methods (2018)
  15. Perapechka, I.; Sawado, Nobuyuki; Shnir, Ya.: Soliton solutions of the fermion-skyrmion system in (2+1) dimensions (2018)
  16. Ruipeng Li, Yuanzhe Xi, Lucas Erlandson, Yousef Saad: The Eigenvalues Slicing Library (EVSL): Algorithms, Implementation, and Software (2018) arXiv
  17. Talat, Nazia; Mavrič, Boštjan; Hatić, Vanja; Bajt, Saša; Šarler, Božidar: Phase field simulation of Rayleigh-Taylor instability with a meshless method (2018)
  18. Torun, F. Sukru; Manguoglu, Murat; Aykanat, Cevdet: A novel partitioning method for accelerating the block Cimmino algorithm (2018)
  19. Zouain, Nestor; SantAnna, Rafael: Computing the asymptotic cyclic response of elastoplastic solids with nonlinear kinematic hardening (2018)
  20. Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland: Extended ALE method for fluid-structure interaction problems with large structural displacements (2017)

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