• Macaulay2

  • Referenced in 1585 articles [sw00537]
  • compute Betti numbers, Ext, cohomology of coherent sheaves on projective varieties, primary decomposition of ideals...
  • Chebfun

  • Referenced in 310 articles [sw05897]
  • familiar powerful methods of numerical computation involving numbers to continuous or piecewise-continuous functions ... linear algebra notions like the QR decomposition and the SVD, and solves ordinary differential equations...
  • RcppEigen

  • Referenced in 14 articles [sw10610]
  • integer, floating point and complex numbers, decompositions of such matrices, and solutions of linear systems...
  • SVMTorch

  • Referenced in 67 articles [sw12121]
  • number of training examples. In this paper, we propose a decomposition algorithm, SVMTorch, which...
  • Armadillo

  • Referenced in 68 articles [sw05863]
  • Integer, floating point, and complex numbers are supported, as well as a subset of trigonometric ... statistics functions. Various matrix decompositions are provided through optional integration with LAPACK and ATLAS libraries...
  • RcppArmadillo

  • Referenced in 66 articles [sw09313]
  • Integer, floating point and complex numbers are supported, as well as a subset of trigonometric ... statistics functions. Various matrix decompositions are provided through optional integration with LAPACK and ATLAS libraries...
  • MSLiP

  • Referenced in 109 articles [sw01410]
  • describes an efficient implementation of a nested decomposition algorithm for the multistage stochastic linear programming ... investigated. The computer code supports an arbitrary number of time periods and various types...
  • SuperLU

  • Referenced in 166 articles [sw00930]
  • library routines will perform an LU decomposition with partial pivoting and triangular system solves through ... equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error...
  • ANN

  • Referenced in 45 articles [sw09854]
  • number of different data structures, based on kd-trees and box-decomposition trees, and employs...
  • gss

  • Referenced in 255 articles [sw06099]
  • univariate smoothing, ones practical in multivariate settings number far less. Smoothing spline ANOVA models ... multivariate models with built-in ANOVA decompositions. Extensive discussions are devoted to model construction, smoothing...
  • BL data set

  • Referenced in 25 articles [sw08330]
  • parallel. New constraint propagation and problem decomposition techniques are introduced with this distinction in mind ... number of activities requiring the same resource) and a problem decomposition scheme which applies well...
  • Mixmod

  • Referenced in 35 articles [sw06991]
  • eigenvalue decomposition. Moreover, different information criteria for choosing a parsimonious model (the number of mixture...
  • NAPACK

  • Referenced in 70 articles [sw11666]
  • solve linear systems, to estimate the condition number or the norm of a matrix ... compute eigenvalues, eigenvectors, the singular value decomposition, or the QR decomposition. The package has special...
  • P3DFFT

  • Referenced in 22 articles [sw06503]
  • high-performance parallel computers with a large number of processing elements (cores). This paper introduces ... domain decomposition. Designed for portable performance, P3DFFT achieves excellent timings for a number of systems...
  • SuperLU-DIST

  • Referenced in 81 articles [sw00002]
  • library routines will perform an LU decomposition with partial pivoting and triangular system solves through ... equilibrate the system, estimate the condition number, calculate the relative backward error, and estimate error...
  • WeylModules

  • Referenced in 2 articles [sw31472]
  • computes submodule structure, simple characters, and decomposition numbers. The package also has some (limited) support...
  • LOBPCG

  • Referenced in 30 articles [sw09638]
  • adapted to the hierarchical Tucker decomposition. Finally, a combination of ALS and MALS with LOBPCG ... rank variant is proposed. A number of numerical experiments indicate that such combinations represent...
  • FaCSI

  • Referenced in 15 articles [sw18530]
  • number of processes, FaCSI exploits efficient single field preconditioners, e.g., based on domain decomposition ... bypass. We analyze the dependence of the number of linear solver iterations on the cores...
  • IETI

  • Referenced in 55 articles [sw19412]
  • numerical simulation problem is subdivided into a number of independent sub-problems, which are then ... NURBS geometries. Since there is a natural decomposition of the computational domain into several subdomains...
  • BCGSTAB

  • Referenced in 4 articles [sw09045]
  • solving 3D incompressible low Reynolds number flows. Domain decomposition is employed to partition the global...