• PARDISO

  • Referenced in 295 articles [sw00679]
  • software for solving large sparse symmetric and unsymmetric linear systems of equations on shared-memory...
  • LIPSOL

  • Referenced in 84 articles [sw04712]
  • codes for solving large, sparse, symmetric positive definite linear systems. Specifically, LIPSOL constructs MEX-files ... from two Fortran packages: a sparse Cholesky factorization package developed by Esmond Ng and Barry...
  • MA57

  • Referenced in 94 articles [sw00536]
  • direct solution of sparse symmetric linear equations that solves indefinite systems with...
  • MA47

  • Referenced in 33 articles [sw13133]
  • direct solution of indefinite sparse symmetric linear systems...
  • CHOLMOD

  • Referenced in 115 articles [sw04412]
  • sparse symmetric positive definite matrices of the form A or AAT, updating/downdating a sparse Cholesky ... linear systems, updating/downdating the solution to the triangular system Lx = b, and many other sparse ... matrix functions for both symmetric and unsymmetric matrices. Its supernodal Cholesky factorization relies on LAPACK...
  • HSL_MA97

  • Referenced in 20 articles [sw12664]
  • direct method to solve large sparse symmetric linear systems of equations AX=B. This package...
  • PaStiX

  • Referenced in 31 articles [sw00685]
  • definite systems. Solving large sparse symmetric positive definite systems of linear equations is a crucial ... block partitioning and scheduling problem for sparse parallel factorization without pivoting is considered. There...
  • PSPIKE

  • Referenced in 17 articles [sw07072]
  • PSPIKE: A parallel hybrid sparse linear system solver. The package PSPIKE is a high-performance ... software for solving large sparse symmetric and unsymmetric linear systems of equations on shared-memory...
  • Expokit

  • Referenced in 200 articles [sw00258]
  • system of linear ordinary differential equations with constant inhomogeneity. The backbone of the sparse routines ... toolkit is capable of coping with sparse matrices of large dimension. The software handles real ... complex matrices and provides specific routines for symmetric and Hermitian matrices. The computation of matrix...
  • FSAIPACK

  • Referenced in 17 articles [sw14000]
  • preconditioning parallel solvers of symmetric positive definite sparse linear systems. The key factor controlling FSAI...
  • JDCG

  • Referenced in 41 articles [sw12540]
  • associated eigenvectors of a (large sparse) real symmetric matrix. A version is also provided that ... conjugate gradient solution of the arising linear systems...
  • OSL

  • Referenced in 107 articles [sw09295]
  • implementation of interior point (barrier) methods for linear programming within the framework ... must deal with are symmetric and, although still sparse, are considerably denser than those assumed ... super-scalar” processing on the RISC System/$6000^{TM}$ series...
  • HSL_MA79

  • Referenced in 3 articles [sw13930]
  • solver for the solution of sparse symmetric linear systems. On many current and emerging computing ... linear systems is a potential loss of accuracy in the computed solutions. For sparse linear ... precision within direct solvers for sparse symmetric linear systems, exploiting both the reduction in memory ... MA79—a fast, robust, mixed-precision sparse symmetric solver that is included in the mathematical...
  • BFSAI-IC

  • Referenced in 27 articles [sw12938]
  • definite linear systems. The paper is concerned with a novel parallel preconditioner for symmetric positive ... definite matrices. It combines a generalized factored sparse approximate inverse (FSAI) with an incomplete...
  • WSSMP

  • Referenced in 4 articles [sw33235]
  • parallel symmetric sparse linear solver. The Watson Symmetric Sparse Matrix Package, WSSMP, is a high ... software package for solving large sparse symmetric systems of linear equations ... uses scalable parallel multifrontal algorithms for sparse symmetric factorization and triangular solves. Sparse symmetric factorization...
  • BootCMatch

  • Referenced in 10 articles [sw27182]
  • handle general symmetric and positive definite (SPD) sparse linear systems, without assuming any a priori...
  • MA62

  • Referenced in 4 articles [sw13135]
  • solution of large sparse symmetric systems of linear finite-element equations. The code is intended ... primarily for positive-definite systems since numerical pivoting is not performed. The resulting software package ... from the Harwell Subroutine Library. Keywords: sparse symmetric linear equations, symmetric frontal method, Gaussian elimination...
  • HSL_MA86

  • Referenced in 2 articles [sw31176]
  • direct method to solve large sparse symmetric indefinite linear systems of equations AX=B. This...
  • qr_mumps

  • Referenced in 4 articles [sw38946]
  • package for the solution of sparse, linear systems on multicore computers. It implements a direct ... solving sparse least-squares problems, to computing the minimum-norm solution of sparse, underdetermined ... problems and to solving symmetric, positive-definite sparse linear systems. It can obviously be used...
  • CONTEST

  • Referenced in 22 articles [sw12738]
  • controllable test toolbox for MATLAB. Large, sparse networks that describe complex interactions are a common ... provide realistic, parametrized matrices for testing linear system and eigenvalue solvers. CONTEST (CONtrollable TEST matrices ... unweighted directed or undirected graphs; that is, symmetric or unsymmetric matrices with elements equal ... arising computational tasks that reduce to sparse linear system and eigenvalue problems...