• LAPACK

  • Referenced in 1189 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...
  • MINOS

  • Referenced in 410 articles [sw05095]
  • basis package (for maintaining sparse LU factors of the basis matrix), automatic scaling of linear...
  • CGS

  • Referenced in 270 articles [sw08225]
  • preconditioning called ILLU (an incomplete line-LU-factorization). The conclusion of the author is that...
  • UMFPACK

  • Referenced in 180 articles [sw00989]
  • ANSI C code for sparse LU factorization is presented that combines a column pre-ordering ... factorization, solving a system with the LU factors, transposing and permuting a sparse matrix...
  • ScaLAPACK

  • Referenced in 322 articles [sw00830]
  • estimation and iterative refinement, for LU and Cholesky factorization, matrix inversion, full-rank linear least ... squares problems, orthogonal and generalized orthogonal factorizations, orthogonal transformation routines, reductions to upper Hessenberg, bidiagonal ... provided for out-of-core solvers for LU, Cholesky, and QR, the matrix sign function...
  • ILUT

  • Referenced in 84 articles [sw08734]
  • ILUT: A dual threshold incomplete LU factorization. In this paper we describe an Incomplete ... LU factorization technique based on a strategy which combines two heuristics. This ILUT factorization extends...
  • symrcm

  • Referenced in 229 articles [sw08566]
  • good preordering for LU or Cholesky factorization of matrices that come from long, skinny problems...
  • SuperLU

  • Referenced in 88 articles [sw00930]
  • through forward and back substitution. The LU factorization routines can handle non-square matrices...
  • ARMS

  • Referenced in 46 articles [sw00048]
  • based on a block incomplete LU factorization. The ARMS is fully recursive and employs ... slower than ILUT and ILUTP (incomplete LU factorization with threshold and with threshold and pivoting...
  • SuperLU-DIST

  • Referenced in 59 articles [sw00002]
  • through forward and back substitution. The LU factorization routines can handle non-square matrices...
  • ILUM

  • Referenced in 57 articles [sw07244]
  • Standard preconditioning techniques based on incomplete LU (ILU) factorizations offer a limited degree of parallelism...
  • BILUTM

  • Referenced in 36 articles [sw07243]
  • combines a high accuracy in complete LU factorization with an algebraic multilevel recursive reduction. This...
  • cheney-kincaid

  • Referenced in 24 articles [sw11656]
  • emphasis. More material on the LU factorization has been added in the chapter on solving...
  • ILUS

  • Referenced in 15 articles [sw07245]
  • preconditioner in sparse skyline format Incomplete LU factorizations are among the most effective preconditioners...
  • BFSAI-IC

  • Referenced in 16 articles [sw12938]
  • approximate inverse (FSAI) with an incomplete LU (ILU) factorization. The block version of their FSAI...
  • SQOPT

  • Referenced in 11 articles [sw07860]
  • reliable basis package (for maintaining sparse LU factors of the basis matrix), a practical anti...
  • TAUCS

  • Referenced in 26 articles [sw04014]
  • Cholesky factors in files. Can work with factors whose size is tens of gigabytes ... systems. Out-of-Core Sparse LU with Partial Pivoting Factor and Solve. Can solve huge...
  • CALU

  • Referenced in 6 articles [sw06433]
  • CALU: A communication optimal LU factorization algorithm The authors discussed CALU, a communication avoiding ... LU factorization algorithm. The main part of the paper focuses on showing that CALU ... CALU and upper bounds of the growth factor of CALU. Experimental results for random matrices ... approaches for solving linear systems of LU-like factorization are discussed. In Section 5 parallel...
  • KLU

  • Referenced in 6 articles [sw06365]
  • dissection), and Gilbert/Peierls’ sparse left-looking LU factorization algorithm to factorize each block. The package...
  • LPAKO

  • Referenced in 3 articles [sw00527]
  • construction of initial basis, $LU$ factorization of basis matrix, pricing rule, presolving/postsolving and other miscellaneous...