
Aztec
 Referenced in 83 articles
[sw12817]
 comprising a set of iterative solvers, preconditioners and matrixvector multiplication routines. Users ... provide their own matrixvector multiplication routines or preconditioners in order to solve a linear ... will perform the necessary transformations for the matrixvector multiplication and preconditioning. After the transformations ... library includes highly optimized matrixvector multiply kernels and preconditioners for both types of data...

TAUCS
 Referenced in 31 articles
[sw04014]
 read matrices in HarwellBoeing format. Matrix Generators. Routines that generate finitedifferences discretizations ... conjugategradients and preconditioned minres. Vaidya’s Preconditioners. Augmented Maximumweightbasis preconditioners. These preconditioners ... nonzeros from the coefficient matrix and them factoring the preconditioner directly. Recursive Vaidya’s Preconditioners ... These preconditioners also drop nonzeros, but they don’t factor the resulting matrix completely. Instead...

RestoreTools
 Referenced in 63 articles
[sw04822]
 implementation of efficient matrix vector multiplication, and linear system solves for preconditioners...

ILUT
 Referenced in 137 articles
[sw08734]
 traditional ways of developing incomplete factorization preconditioners. The first uses a symbolic factorization approach ... element using only the graph of the matrix. Then each fillin that is introduced ... introduced, traditionally referred to as threshold preconditioners. The first type of approach...

FaCSI
 Referenced in 17 articles
[sw18530]
 paper we propose a new block parallel preconditioner for the coupled linearized FSI system obtained ... Factorized form of the linearized FSI matrix, the use of static Condensation to formally eliminate ... Jacobian matrix and it uses adhoc preconditioners for each physical component of the coupled ... SIMPLE preconditioner on the reduced fluid matrix. Moreover, to efficiently deal with a large number...

ParaSails
 Referenced in 27 articles
[sw11521]
 selfcontained module in the HYPRE preconditioner library currently being developed at the Center ... pattern of a power of a sparsified matrix. ParaSails also uses a postfiltering technique ... reduce the cost of applying the preconditioner. The pattern of the preconditioner can be reused ... nonsymmetric and/or indefinite) problems with a nonfactorized preconditioner. The software available to be downloaded includes...

BLOPEX
 Referenced in 26 articles
[sw04024]
 Method (LOBPCG). Its main features are: a matrixfree iterative method for computing several extreme ... generalized eigenproblems; a userdefined symmetric positive preconditioner; robustness with respect to random ... initial approximations, variable preconditioners, and illconditioning of the stiffness matrix; and apparently optimal convergence...

pTatin3D
 Referenced in 9 articles
[sw27642]
 algorithmic tradeoffs of pTatin3D’s multigrid preconditioner. Our matrixfree geometric multigrid preconditioner trades flops...

ExaDune
 Referenced in 10 articles
[sw32962]
 Galerkin discretisations as well as partially matrixfree preconditioners. On top of that, additional scalability...

PetRBF
 Referenced in 18 articles
[sw12862]
 Schwarz method (rasm) as a preconditioner and a fast matrixvector algorithm. Previous fast...

ILUM
 Referenced in 62 articles
[sw07244]
 ILUM: A multielimination ILU preconditioner for general sparse matrices Standard preconditioning techniques based ... applying the usual ILU factorization to a matrix obtained from a multicolor ordering.par We present ... robustness, it is necessary to allow the preconditioner to have an arbitrary high accuracy...

BCCG+FAI
 Referenced in 7 articles
[sw12124]
 based Approximate Inverse” preconditioner. The underlying idea is that the inverse matrix can be approximated ... original matrix elements. This preconditioner makes the total number of CG iterations effectively constant...

TNPACK
 Referenced in 39 articles
[sw00970]
 solve approximately the Newton equations. The preconditioner M is factored in PCG using a sparse ... Cholesky factorization based on the Yale Sparse Matrix Package. In this paper we briefly describe...

PSBLAS
 Referenced in 22 articles
[sw04026]
 package implements various versions of additive Schwarz preconditioners and applies a smoothed aggregation technique ... generate a coarselevel correction. The coarse matrix can be either replicated on the processors ... package starts from a description of the preconditioners in terms of parallel basic linear algebra...

NSPCG
 Referenced in 30 articles
[sw00636]
 required to copy the matrix into one of the package formats. This is particularly advantageous ... space is limited.\parSome of the basic preconditioners that are available are point methods such...

CIMGS
 Referenced in 11 articles
[sw17583]
 systems is proposed, analyzed, and tested. The preconditioner, compressed incomplete modified GramSchmidt (CIMGS ... rank matrix. Numerically it is more robust than an incomplete Cholesky factorization preconditioner ... properties usually hold numerically, even when the matrix is not an Mmatrix. When...

PINEAPL
 Referenced in 6 articles
[sw00708]
 particular, the iterative solver, the preconditioner and the matrixvector multiplication routines. Most...

2LEVD2P4
 Referenced in 8 articles
[sw00009]
 present a package of parallel preconditioners which implements onelevel and twolevel domain decomposition ... sparse matrix computations. The package, named 2LEVD2P4 (TwoLEVel Domain Decomposition Parallel Preconditioners Package...

MINRES
 Referenced in 29 articles
[sw13371]
 matrix A−sI must be symmetric but it may be definite or indefinite or singular ... Lanczos tridiagonalization. You may provide a preconditioner, but it must be positive definite. MINRES...

CVODE
 Referenced in 55 articles
[sw04947]
 Newton iteration, using the current Jacobian (through matrixfree products), in which the linear residual ... serial version, there is a banded preconditioner module called CVBANDPRE for use with the Krylov...