• Macaulay2

  • Referenced in 1576 articles [sw00537]
  • coherent sheaves on projective varieties, primary decomposition of ideals, integral closure of rings, and more...
  • JDQZ

  • Referenced in 558 articles [sw07031]
  • used to compute a partial generalized Schur decomposition of the pair (A,B). The decomposition...
  • JDQR

  • Referenced in 470 articles [sw04021]
  • used to compute a partial Schur decomposition of A. The decomposition leads to the wanted...
  • LINPACK

  • Referenced in 511 articles [sw04209]
  • package computes the QR and singular value decompositions of rectangular matrices and applies them...
  • EISPACK

  • Referenced in 486 articles [sw04208]
  • routines are included that use singular value decomposition to solve certain least-squares problems. EISPACK...
  • UTV

  • Referenced in 221 articles [sw05213]
  • computing and modifying symmetric rank-revealing VSV decompositions, we expand the algorithms for the ULLV ... decomposition of a matrix pair to handle interference-type problems with a rank-deficient covariance...
  • Chebfun

  • Referenced in 304 articles [sw05897]
  • linear algebra notions like the QR decomposition and the SVD, and solves ordinary differential equations...
  • QEPCAD

  • Referenced in 273 articles [sw00752]
  • quantifier elimination by partial cylindrical algebraic decomposition due orginally to Hoon Hong, and subsequently added...
  • gss

  • Referenced in 252 articles [sw06099]
  • multivariate models with built-in ANOVA decompositions. Extensive discussions are devoted to model construction, smoothing...
  • PLTMG

  • Referenced in 214 articles [sw00717]
  • parallel adaptive meshing paradigm and corresponding domain decomposition solver are also provided. PLTMG is provided...
  • Bertini

  • Referenced in 204 articles [sw06683]
  • isolated solutions and for the numerical irreducible decomposition. Treats positive-dimensional solutions by computing witness...
  • redbKIT

  • Referenced in 138 articles [sw12977]
  • spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze ... offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry...
  • SuperLU

  • Referenced in 162 articles [sw00930]
  • library routines will perform an LU decomposition with partial pivoting and triangular system solves through...
  • Chaco

  • Referenced in 116 articles [sw09640]
  • communication is kept small. Finding an optimal decomposition is provably hard ... developing heuristics for this problem. The decomposition problem can be addressed in terms of graph...
  • LiE

  • Referenced in 146 articles [sw01075]
  • Some specialities of LiE are: tensor product decompositions, branching to subgroups, Weyl group orbits, reduced...
  • SLEPc

  • Referenced in 145 articles [sw00875]
  • related problems such as the singular value decomposition or the quadratic eigenvalue problem...
  • PMA

  • Referenced in 95 articles [sw19126]
  • Performs Penalized Multivariate Analysis: a penalized matrix decomposition, sparse principal components analysis, and sparse canonical ... Tibshirani and Hastie (2009) A penalized matrix decomposition, with applications to sparse principal components...
  • TensorToolbox

  • Referenced in 123 articles [sw04185]
  • mathematical operations, including those typical to tensor decomposition algorithms. Second, we study factored tensors, which...
  • Steerable pyramid

  • Referenced in 79 articles [sw14908]
  • linear multi-scale, multi-orientation image decomposition that provides a useful front-end for image ... overcome the limitations of orthogonal separable wavelet decompositions that were then becoming popular for image...
  • MSLiP

  • Referenced in 108 articles [sw01410]
  • describes an efficient implementation of a nested decomposition algorithm for the multistage stochastic linear programming...