ITSOL is a library of iterative solvers for general sparse linear systems of equations. ITSOL can be viewed as an extension of the itsol module in SPARSKIT. It is written in C and offers a selection of recently developed preconditioners. The preconditioner suite includes: ILUK (ILU preconditioner with level of fill) ILUT (ILU preconditioner with threshold) ILUC (Crout version of ILUT) VBILUK (variable block preconditioner with level of fill - with automatic block detection) VBILUT (variable block preconditioner with threshold - with automatic block detection) ARMS (Algebraic Recursive Multilevel Solvers -- includes actually several methods - In particular the standard ARMS and the ddPQ version which uses nonsymmetric permutations). Note that ITSOL is a scalar package. You may find parallel implentations of some of the preconditioners listed above in pARMS .

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  1. Il’in, V. P.; Skopin, I. N.: About performance and intellectuality of supercomputer modeling (2016) ioport
  2. Abdel-Rehim, A. M.; Stathopoulos, Andreas; Orginos, Kostas: Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems with multiple right-hand sides. (2014)
  3. Carpentieri, Bruno; Liao, Jia; Sosonkina, Masha: VBARMS: a variable block algebraic recursive multilevel solver for sparse linear systems (2014)
  4. Fezzani, Riadh; Grigori, Laura; Nataf, Frédéric; Wang, Ke: Block filtering decomposition. (2014)
  5. Izumi, Hideaki: Maple package ITSOL for formal solutions of iterative functional equations (2014)
  6. Abdelraheem, Mohamed Ahmed: Estimating the probabilities of low-weight differential and linear approximations on PRESENT-like ciphers (2013)
  7. Gundersen, Geir; Steihaug, Trond: On diagonally structured problems in unconstrained optimization using an inexact super Halley method (2012)
  8. Maclachlan, S.; Osei-Kuffuor, D.; Saad, Yousef: Modification and compensation strategies for threshold-based incomplete factorizations (2012)
  9. Shoele, Kourosh; Zhu, Qiang: Leading edge strengthening and the propulsion performance of flexible ray fins (2012)
  10. Sidje, Roger B.; Saad, Yousef: Rational approximation to the Fermi-Dirac function with applications in density functional theory (2011)
  11. Stevens, David; Power, Henry: A scalable and implicit meshless RBF method for the 3D unsteady nonlinear Richards equation with single and multi-zone domains (2011)
  12. Anderson, Gary S.: A reliable and computationally efficient algorithm for imposing the saddle point property in dynamic models (2010)
  13. Bender, Michael A.; Brodal, Gerth Stølting; Fagerberg, Rolf; Jacob, Riko; Vicari, Elias: Optimal sparse matrix dense vector multiplication in the I/O-model (2010)
  14. D’Avino, G.; Hulsen, M. A.: A comparison between a collocation and weak implementation of the rigid-body motion constraint on a particle surface (2010)
  15. Ferronato, Massimiliano; Bergamaschi, Luca; Gambolati, Giuseppe: Performance and robustness of block constraint preconditioners in finite element coupled consolidation problems (2010)
  16. Gordon, Dan; Gordon, Rachel: CARP-CG: A robust and efficient parallel solver for linear systems, applied to strongly convection dominated PDEs (2010)
  17. Manguoglu, Murat; Koyutürk, Mehmet; Sameh, Ahmed H.; Grama, Ananth: Weighted matrix ordering and parallel banded preconditioners for iterative linear system solvers (2010)
  18. Migallón, Héctor; Migallón, Violeta; Penadés, Jose: Alternating two-stage methods for consistent linear systems with applications to the parallel solution of Markov chains (2010)
  19. Strychalski, Wanda; Adalsteinsson, David; Elston, Timothy C.: Simulating biochemical signaling networks in complex moving geometries (2010)
  20. Zhang, Jingwei; Watson, Layne T.; Cao, Yang: A modified uniformization method for the solution of the chemical master equation (2010)

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