• MUMPS

  • Referenced in 502 articles [sw04013]
  • Solution of large linear systems with symmetric positive definite matrices; general symmetric matrices; general unsymmetric...
  • LINPACK

  • Referenced in 520 articles [sw04209]
  • matrices are general, banded, symmetric indefinite, symmetric positive definite, triangular, and tridiagonal square. In addition...
  • SeDuMi

  • Referenced in 1272 articles [sw04002]
  • Matlab toolbox for solving optimization problems over symmetric cones, i.e. it allows not only ... also quasiconvex-quadratic constraints and positive semi-definiteness constraints. Complex valued entries are allowed. Features...
  • CHOLMOD

  • Referenced in 113 articles [sw04412]
  • routines for factorizing sparse symmetric positive definite matrices of the form A or AAT, updating/downdating ... many other sparse matrix functions for both symmetric and unsymmetric matrices. Its supernodal Cholesky factorization ... when A is sparse symmetric positive definite, as well as in several other sparse matrix...
  • PARDISO

  • Referenced in 286 articles [sw00679]
  • Unsymmetric, structurally symmetric or symmetric systems, real or complex, positive definite or indefinite, hermitian...
  • testmatrix

  • Referenced in 81 articles [sw14347]
  • conditioned or rank deficient matrices; and symmetric, positive definite, orthogonal, defective, involutary, and totally positive...
  • PaStiX

  • Referenced in 30 articles [sw00685]
  • performance parallel direct solver for sparse symmetric positive definite systems. Solving large sparse symmetric positive...
  • 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...
  • ParaSails

  • Referenced in 29 articles [sw11521]
  • sequence of linear solves. ParaSails solves symmetric positive definite (SPD) problems using a factorized...
  • CIMGS

  • Referenced in 12 articles [sw17583]
  • factorization preconditioner. A new preconditioner for symmetric positive definite systems is proposed, analyzed, and tested ... properties than complete Cholesky factorization. For symmetric positive definite M-matrices, CIMGS induces a regular...
  • SOLAR

  • Referenced in 17 articles [sw08711]
  • single workstation an out-of-core positive-definite symmetric matrix at a rate exceeding...
  • ILUPACK

  • Referenced in 25 articles [sw10477]
  • well as real and complex symmetric (Hermitian) positive definite systems. The basic idea of ILUPACK...
  • FSAIPACK

  • Referenced in 16 articles [sw14000]
  • technique for preconditioning parallel solvers of symmetric positive definite sparse linear systems. The key factor...
  • LDL

  • Referenced in 19 articles [sw00507]
  • short, concise routines for factorizing symmetric positive-definite sparse matrices, with some applicability to symmetric...
  • PSPASES

  • Referenced in 14 articles [sw00739]
  • robust scalable parallel solvers for sparse symmetric positive definite linear sytems that we have developed...
  • SYM-ILDL

  • Referenced in 10 articles [sw13375]
  • MINRES implementation, applied with a specialized symmetric positive definite preconditioning technique based on the ILDL...
  • geomstats

  • Referenced in 9 articles [sw24373]
  • hyperspheres, hyperbolic spaces, spaces of symmetric positive definite matrices and Lie groups of transformations...
  • symamd

  • Referenced in 7 articles [sw08565]
  • permutation. p = symamd(S) for a symmetric positive definite matrix S, returns the permutation vector ... symamd function may also work well for symmetric indefinite matrices...
  • QPBOX

  • Referenced in 6 articles [sw04799]
  • smallest eigenvalue of a symmetric, positive definite matrix, and is solved by Newton iteration with...
  • PREQN

  • Referenced in 9 articles [sw01233]
  • coefficient matrices A i are symmetric and positive definite and vary slowly. Problems of this...