• LOBPCG

  • Referenced in 32 articles [sw09638]
  • Preconditioned low-rank methods for high-dimensional elliptic PDE eigenvalue problems. We consider elliptic ... eigenvalue problems on a tensorized domain, discretized such that the resulting matrix eigenvalue problem ... desired solution vector x in a low-rank tensor format. In this paper ... hierarchical Tucker decomposition to develop a low-rank variant of LOBPCG, a classical preconditioned eigenvalue...
  • UQLab

  • Referenced in 33 articles [sw19740]
  • expansions, Gaussian process modelling, a.k.a. Kriging, low-rank tensor approximations), rare event estimation (structural reliability...
  • Cross

  • Referenced in 3 articles [sw30282]
  • Cross: efficient low-rank tensor completion. The completion of tensors, or high-order arrays, attracts ... article, we propose a framework for low-rank tensor completion via a novel tensor measurement ... show that a third-order tensor of Tucker rank ... recovery error over certain classes of low-rank tensors for the proposed procedure. The results...
  • ALEA

  • Referenced in 51 articles [sw10167]
  • python framework for spectral methods and low-rank approximations in uncertainty quantification. ALEA is intended ... methods; stochastic Galerkin FEM; adaptive numerical methods; tensor methods for UQ. Most of these areas...
  • BTTSoftImpute

  • Referenced in 1 article [sw34805]
  • Block tensor train decomposition for missing data estimation. We propose a method for imputation ... scale matrix data based on a low-rank tensor approximation technique called the block tensor ... matrices is performed based on a low-rank BTT decomposition, by which storage and time ... large-scale data matrices admitting a low-rank tensor structure. An iterative soft-thresholding algorithm...
  • t3f

  • Referenced in 4 articles [sw32795]
  • generalization of the low-rank decomposition from matrices to tensors (=multidimensional arrays...
  • TuckerMPI

  • Referenced in 2 articles [sw27856]
  • based on treating the data as a tensor, i.e., a multidimensional array, and computing ... result is a low-rank approximation of the original tensor-structured data. Compression efficiency...
  • ATLAS

  • Referenced in 197 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...
  • Expokit

  • Referenced in 184 articles [sw00258]
  • Expokit provides a set of routines aimed at...
  • Gmsh

  • Referenced in 635 articles [sw00366]
  • Gmsh is a 3D finite element grid generator...
  • ISOGAT

  • Referenced in 298 articles [sw00457]
  • A tutorial 2D MATLAB code for solving elliptic...
  • LAPACK

  • Referenced in 1649 articles [sw00503]
  • LAPACK is written in Fortran 90 and provides...
  • LSQR

  • Referenced in 372 articles [sw00530]
  • Algorithm 583: LSQR: Sparse Linear Equations and Least...
  • Macaulay2

  • Referenced in 1758 articles [sw00537]
  • Macaulay2 is a software system devoted to supporting...
  • Magma

  • Referenced in 3052 articles [sw00540]
  • Computer algebra system (CAS). Magma is a large...
  • Maple

  • Referenced in 5199 articles [sw00545]
  • The result of over 30 years of cutting...
  • Matlab

  • Referenced in 12640 articles [sw00558]
  • MATLAB® is a high-level language and interactive...
  • PHCpack

  • Referenced in 222 articles [sw00705]
  • Algorithm 795: PHCpack: A general-purpose solver for...
  • R

  • Referenced in 8836 articles [sw00771]
  • R is a language and environment for statistical...
  • rbMIT

  • Referenced in 143 articles [sw00784]
  • The rbMIT © MIT Software package implements in Matlab...