• ARPACK

  • Referenced in 783 articles [sw04218]
  • most appropriate for large sparse or structured matrices A where structured means that a matrix ... Shifted QR technique that is suitable for large scale problems. For many standard problems...
  • SparseMatrix

  • Referenced in 616 articles [sw04629]
  • Matrix Collection, a large and actively growing set of sparse matrices that arise in real...
  • Expokit

  • Referenced in 173 articles [sw00258]
  • exponential in full, the action of a large sparse matrix exponential on an operand vector ... capable of coping with sparse matrices of large dimension. The software handles real and complex...
  • MUMPS

  • Referenced in 421 articles [sw04013]
  • Solution of large linear systems with symmetric positive definite matrices; general symmetric matrices; general unsymmetric...
  • PARI/GP

  • Referenced in 586 articles [sw00680]
  • large number of other useful functions to compute with mathematical entities such as matrices, power...
  • svdpack

  • Referenced in 60 articles [sw04819]
  • singular value decomposition (SVD) of large sparse matrices using double precision ANSI Fortran ... left- and right-singular vectors) for large sparse matrices. The package has been ported ... need to compute large rank approximations to sparse term-document matrices from information retrieval applications ... used, for example, to handle extremely large sparse matrices (on the order of a million...
  • softImpute

  • Referenced in 63 articles [sw12263]
  • completed with the current estimate. For large matrices there is a special sparse-matrix class ... computing low-rank SVDs on large sparse centered matrices (i.e. principal components...
  • Eigtool

  • Referenced in 476 articles [sw07020]
  • computing pseudospectra of dense and sparse matrices. It also provides a graphical interface to MATLAB ... built-in eigs routine (ARPACK) for large-scale eigenvalue computations...
  • JDQZ

  • Referenced in 572 articles [sw07031]
  • matrix pencil A-lambda*B. The matrices can be real or complex, Hermitian ... sparse and of large size. The Jacobi-Davidson method is used to compute a partial...
  • QETLAB

  • Referenced in 53 articles [sw20493]
  • both with full matrices and with large sparse matrices, and makes use of many advanced...
  • LINPACK

  • Referenced in 514 articles [sw04209]
  • singular value decompositions of rectangular matrices and applies them to least-squares problems. LINPACK uses ... 1970s and early 1980s. LINPACK has been largely superceded by LAPACK, which has been designed...
  • RTRMC

  • Referenced in 33 articles [sw20435]
  • address the numerical problem of recovering large matrices of low rank when most...
  • PROPACK

  • Referenced in 100 articles [sw04019]
  • singular value decomposition of large and sparse or structured matrices. The SVD routines are based...
  • QMRPACK

  • Referenced in 77 articles [sw00754]
  • obtain approximate eigenvalues of large non-Hermitian matrices. QMRPACK is a software package with Fortran...
  • HOMPACK90

  • Referenced in 45 articles [sw00412]
  • separate routines for dense and sparse Jacobian matrices. A high level driver for the special ... iterative algorithms for large sparse Jacobian matrices...
  • SparseM

  • Referenced in 22 articles [sw10534]
  • squares methods for problems with sparse design matrices. Significant performance improvements in memory utilization ... speed are possible for applications involving large sparse matrices...
  • CIRR

  • Referenced in 32 articles [sw12618]
  • generalized eigenvalue problems. When the matrices are very large, iterative methods are used to generate...
  • PHSVDS

  • Referenced in 11 articles [sw13690]
  • accurately computing singular triplets of large matrices. The computation of a few singular triplets ... large, sparse matrices is a challenging task, especially when the smallest magnitude singular values...
  • ParMETIS

  • Referenced in 128 articles [sw04697]
  • computing fill-reducing orderings of sparse matrices. ParMETIS extends the functionality provided by METIS ... especially suited for parallel AMR computations and large scale numerical simulations. The algorithms implemented...