• MINOS

  • Referenced in 444 articles [sw05095]
  • large-scale optimization system, for the solution of sparse linear and nonlinear programs. The objective...
  • HSL

  • Referenced in 275 articles [sw00418]
  • known packages are those for the solution of sparse linear systems of equations and sparse...
  • CSparse

  • Referenced in 216 articles [sw20382]
  • scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these...
  • hypre

  • Referenced in 300 articles [sw00426]
  • software library for the solution of large, sparse linear systems on massively parallel computers...
  • SLEPc

  • Referenced in 180 articles [sw00875]
  • software library for the solution of large sparse eigenproblems on parallel computers...
  • MA57

  • Referenced in 89 articles [sw00536]
  • MA57 - a code for the solution of sparse symmetric definite and indefinite systems. We introduce ... code for the direct solution of sparse symmetric linear equations that solves indefinite systems with ... These include restart facilities, matrix modification, partial solution for matrix factors, solution of multiple right...
  • SuperLU

  • Referenced in 186 articles [sw00930]
  • purpose library for the direct solution of large, sparse, nonsymmetric systems of linear equations ... estimate error bounds for the refined solutions...
  • LAPACK

  • Referenced in 1677 articles [sw00503]
  • systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems ... banded matrices are handled, but not general sparse matrices. In all areas, similar functionality ... various types of matrix multiplication and the solution of triangular systems with multiple right-hand...
  • FPC_AS

  • Referenced in 66 articles [sw12218]
  • recovering sparse solutions to an undetermined system of linear equations Ax=b. The algorithm ... likely to be nonzero in an optimal solution. Restricting the decision variables x to this ... speed and its ability to recover sparse signals...
  • Expokit

  • Referenced in 189 articles [sw00258]
  • large sparse matrix exponential on an operand vector, or the solution of a system ... with constant inhomogeneity. The backbone of the sparse routines consists of matrix-free Krylov subspace ... toolkit is capable of coping with sparse matrices of large dimension. The software handles real ... Markov chains and furthermore, the computed solution is subject to probabilistic constraints. In addition...
  • MEBDF

  • Referenced in 83 articles [sw00567]
  • MEBDF package for the numerical solution of large sparse systems of stiff initial value problems ... algorithm is constructed by embedding a standard sparse linear algebraic equation solver into a suitably ... this algorithm is in the numerical solution of time dependent partial differential equations, particularly...
  • SuperLU-DIST

  • Referenced in 89 articles [sw00002]
  • purpose library for the direct solution of large, sparse, nonsymmetric systems of linear equations ... estimate error bounds for the refined solutions...
  • Aztec

  • Referenced in 83 articles [sw12817]
  • provides algorithms for the iterative solution of large sparse linear systems arising in scientific...
  • SPGL1

  • Referenced in 188 articles [sw08365]
  • large-scale sparse reconstruction: Probing the Pareto frontier for basis pursuit solutions. The basis pursuit...
  • CHOLMOD

  • Referenced in 106 articles [sw04412]
  • updating/downdating a sparse Cholesky factorization, solving linear systems, updating/downdating the solution to the triangular system...
  • MATLAB ODE suite

  • Referenced in 382 articles [sw12710]
  • suite of programs for the solution of initial value problems y ’ =F(t,y), with ... with a nonsingular and sparse matrix M(t). The programs are developed for MATLAB, which...
  • MA48

  • Referenced in 24 articles [sw00535]
  • MA48: A code for the direct solution of sparse unsymmetric linear systems of equations ... code for the direct solution of sparse unsymmetric linear systems of equations. The new code...
  • HSL_MI20

  • Referenced in 50 articles [sw07246]
  • effective iterative methods for the solution of large, sparse linear systems obtained from the discretization...
  • SparsePOP

  • Referenced in 66 articles [sw04331]
  • sparse semidefinite programming (SDP) relaxation method for approximating a global optimal solution of a polynomial ... sparse SDP relaxation exploits a sparse structure of polynomials in POPs when applying “a hierarchy ... efficiency of SparsePOP to approximate optimal solutions of POPs is thus increased, and larger-scale...
  • ParaSails

  • Referenced in 29 articles [sw11521]
  • inverse preconditioner for the iterative solution of large, sparse systems of linear equations...