
LAPACK
 Referenced in 1307 articles
[sw00503]
 singular value problems. The associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur ... computations such as reordering of the Schur factorizations and estimating condition numbers. Dense and banded...

mctoolbox
 Referenced in 1091 articles
[sw04827]
 functions for constructing test matrices, computing matrix factorizations, visualizing matrices, and carrying out direct search...

SINGULAR
 Referenced in 1019 articles
[sw00866]
 Tangent Cone algorithm. Furthermore, it provides polynomial factorizations, resultant, characteristic set and gcd computations, syzygy...

REDUCE
 Referenced in 678 articles
[sw00789]
 extending program syntax; analytic differentiation and integration; factorization of polynomials; facilities for the solution...

ARPACK
 Referenced in 631 articles
[sw04218]
 problems. For many standard problems, a matrix factorization is not required. Only the action...

CoCoA
 Referenced in 517 articles
[sw00143]
 dimensional schemes, Poincare’ series and Hilbert functions, factorization of polynomials, toric ideals. The capabilities...

ScaLAPACK
 Referenced in 345 articles
[sw00830]
 iterative refinement, for LU and Cholesky factorization, matrix inversion, fullrank linear least squares problems ... orthogonal and generalized orthogonal factorizations, orthogonal transformation routines, reductions to upper Hessenberg, bidiagonal and tridiagonal...

MINOS
 Referenced in 419 articles
[sw05095]
 basis package (for maintaining sparse LU factors of the basis matrix), automatic scaling of linear...

UMFPACK
 Referenced in 212 articles
[sw00989]
 ANSI C code for sparse LU factorization is presented that combines a column preordering ... rightlooking unsymmetricpattern multifrontal numerical factorization. The preordering and symbolic analysis phase computes ... memory usage during the subsequent numerical factorization. Usercallable routines are provided for ordering ... analyzing a sparse matrix, computing the numerical factorization, solving a system with the LU factors...

symrcm
 Referenced in 295 articles
[sw08566]
 good preordering for LU or Cholesky factorization of matrices that come from long, skinny problems...

CGS
 Referenced in 277 articles
[sw08225]
 preconditioning called ILLU (an incomplete lineLUfactorization). The conclusion of the author is that...

ILUT
 Referenced in 101 articles
[sw08734]
 ILUT: A dual threshold incomplete LU factorization. In this paper we describe an Incomplete ... factorization technique based on a strategy which combines two heuristics. This ILUT factorization extends ... usual ILU(O) factorization without using the concept of level of fillin. There ... traditional ways of developing incomplete factorization preconditioners. The first uses a symbolic factorization approach...

WEKA
 Referenced in 184 articles
[sw06435]
 This article provides an overview of the factors that we believe to be important...

SuperLU
 Referenced in 106 articles
[sw00930]
 through forward and back substitution. The LU factorization routines can handle nonsquare matrices ... matrix columns may be preordered (before factorization) either through library or user supplied routines. This ... sparsity is completely separate from the factorization. Working precision iterative refinement subroutines are provided...

CONOPT
 Referenced in 126 articles
[sw02791]
 critical components in a GRG code: basis factorizations, search directions, linesearches, and Newton iterations...

SDPLR
 Referenced in 86 articles
[sw04745]
 based on the idea of lowrank factorization. A specialized version of SDPLR is also ... Algorithm for Semidefinite Programs via Lowrank Factorization” written by S. Burer and R.D.C. Monteiro...

Quicksort
 Referenced in 117 articles
[sw20694]
 presortedness measure Inv. Differences close to a factor of two are observed between instances with...

TensorToolbox
 Referenced in 66 articles
[sw04185]
 Efficient MATLAB computations with sparse and factored tensors The term tensor refers simply ... tensor decomposition algorithms. Second, we study factored tensors, which have the property that they ... which itself may be dense, sparse, or factored) and a matrix along each mode...

SuperLUDIST
 Referenced in 63 articles
[sw00002]
 through forward and back substitution. The LU factorization routines can handle nonsquare matrices ... matrix columns may be preordered (before factorization) either through library or user supplied routines. This ... sparsity is completely separate from the factorization. Working precision iterative refinement subroutines are provided...