• ITSOL

  • Referenced in 156 articles [sw04031]
  • 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 ... find parallel implentations of some of the preconditioners listed above in pARMS...
  • CVODE

  • Referenced in 62 articles [sw04947]
  • called CVBBDPRE which provides a band-block-diagonal preconditioner. For use with Fortran applications...
  • Aztec

  • Referenced in 83 articles [sw12817]
  • BiCGSTAB, GMRES and TFQMR) and preconditioners (point Jacobi, block Jacobi, Gauss-Seidel, least-squares polynomials ... format; b) a block-entry variable block row (VBR) format. These two formats have been ... highly optimized matrix-vector multiply kernels and preconditioners for both types of data structures...
  • BPKit

  • Referenced in 22 articles [sw05807]
  • BPKIT is a toolkit of block preconditioners for the iterative solution of linear systems ... black-box type of preconditioners are available, including block SSOR, block tridiagonal ... block extension of point ILU with level-of-fill. Any of these ”global” preconditioners ... preconditioners for approximately or exactly inverting or solving with the diagonal or pivot blocks. These...
  • BILUTM

  • Referenced in 40 articles [sw07243]
  • BILUTM: A domain-based multilevel block ILUT preconditioner for general sparse matrices The purpose...
  • FaCSI

  • Referenced in 18 articles [sw18530]
  • FaCSI: A block parallel preconditioner for fluid–structure interaction in hemodynamics. Modeling Fluid–Structure Interaction ... this paper we propose a new block parallel preconditioner for the coupled linearized FSI system ... SIMPLE preconditioner for saddle-point problems. FaCSI is built upon a block Gauss–Seidel factorization...
  • NSPCG

  • Referenced in 35 articles [sw00636]
  • space is limited.\parSome of the basic preconditioners that are available are point methods such ... successive overrelaxation as well as block and multicolor preconditioners. The user can select from...
  • BFSAI-IC

  • Referenced in 27 articles [sw12938]
  • Block FSAI-ILU parallel preconditioner for symmetric positive definite linear systems. The paper is concerned ... with a novel parallel preconditioner for symmetric positive definite matrices. It combines a generalized factored ... factorization. The block version of their FSAI-ILU preconditioner proves superior to both FSAI...
  • Teko

  • Referenced in 10 articles [sw15846]
  • package for development and implementation of block preconditioners. This includes support for manipulation and setup ... block operators. Furthermore tools exist to support decomposition of a fully coupled operator. Additionally, facilities ... operators using the full complement of available preconditioners and solvers are available in Teko ... Finally, a small number of generic block preconditioners has been implemented in Teko, including block...
  • lobpcg.m

  • Referenced in 145 articles [sw24008]
  • describe new algorithms of the locally optimal block preconditioned conjugate gradient (LOBPCG) method for symmetric ... different methods in the class, with different preconditioners, we propose a common system of model ... ideal” algorithm when the same preconditioner is used in both methods. We also show numerically ... global optimization method on the same generalized block Krylov subspace. We propose a new version...
  • AmgX

  • Referenced in 14 articles [sw13440]
  • with a variety of smoothers and preconditioners, including block-Jacobi, Gauss-Seidel, and incomplete ... available multigrid methods or simpler preconditioners. The parallelism in the aggregation scheme exploits parallel graph...
  • XPABLO

  • Referenced in 4 articles [sw08733]
  • nonzero entries. This block diagonal can then be used as a preconditioner. We propose ... TPABLO, and we use a block Gauss–Seidel preconditioner which can be implemented to have ... same execution time as the corresponding block Jacobi preconditioner. Experiments are presented showing that ... certain classes of matrices, the block Gauss–Seidel preconditioner used with the system permuted with...
  • CPR-AMG

  • Referenced in 7 articles [sw17621]
  • preconditioner derived using an approximate Schur complement arising from the block factorization of the Jacobian ... pressures, and we show that the block factorization preconditioner is both efficient and scales optimally...
  • KINSOL

  • Referenced in 7 articles [sw04323]
  • called KINBBDPRE, which provides a band-block-diagonal preconditioner for the parallel version...
  • ParPre

  • Referenced in 5 articles [sw12613]
  • package. ParPre is a library of parallel preconditioners for iterative solution methods for linear systems ... includes classical point/block relaxation methods, generalised block SSOR preconditioners (this includes ILU), and domain decomposition...
  • PSBLAS

  • Referenced in 23 articles [sw04026]
  • package implements various versions of additive Schwarz preconditioners and applies a smoothed aggregation technique ... corresponding system is solved by factorization or block Jacobi sweeps, respectively. The design ... package starts from a description of the preconditioners in terms of parallel basic linear algebra...
  • PARALAAOMPI

  • Referenced in 9 articles [sw30622]
  • circulant-related matrices as preconditioners for the non-symmetric block Toeplitz matrices which arise from ... present parallel numerical results for their preconditioner which exhibit strong scaling. We also extend their...
  • BLOPEX

  • Referenced in 27 articles [sw04024]
  • eigensolver implemented with the Locally Optimal Block Preconditioned Conjugate Gradient Method (LOBPCG). Its main features ... generalized eigenproblems; a user-defined symmetric positive preconditioner; robustness with respect to random initial approximations ... variable preconditioners, and ill-conditioning of the stiffness matrix; and apparently optimal convergence speed. BLOPEX ... package and is available as an external block to the PETSc package. SLEPc and PHAML...
  • BCCG+FAI

  • Referenced in 10 articles [sw12124]
  • definition of the “FFT-based Approximate Inverse” preconditioner. The underlying idea is that the inverse ... approximated well using a Toeplitz or block-Toeplitz form, which can be computed using ... original matrix elements. This preconditioner makes the total number of CG iterations effectively constant...
  • AILU

  • Referenced in 26 articles [sw41207]
  • operator. We investigate a new type of preconditioner for large systems of linear equations stemming ... with the LU factors of an exact block LU decomposition at the matrix level. Since ... leads to the new AILU (Analytic ILU) preconditioner with convergence rate effectiveness...