
LOBPCG
 Referenced in 32 articles
[sw09638]
 Preconditioned lowrank methods for highdimensional 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 lowrank tensor format. In this paper ... hierarchical Tucker decomposition to develop a lowrank variant of LOBPCG, a classical preconditioned eigenvalue...

UQLab
 Referenced in 33 articles
[sw19740]
 expansions, Gaussian process modelling, a.k.a. Kriging, lowrank tensor approximations), rare event estimation (structural reliability...

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

ALEA
 Referenced in 51 articles
[sw10167]
 python framework for spectral methods and lowrank 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 lowrank tensor approximation technique called the block tensor ... matrices is performed based on a lowrank BTT decomposition, by which storage and time ... largescale data matrices admitting a lowrank tensor structure. An iterative softthresholding algorithm...

t3f
 Referenced in 4 articles
[sw32795]
 generalization of the lowrank 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 lowrank approximation of the original tensorstructured 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 highlevel language and interactive...

PHCpack
 Referenced in 222 articles
[sw00705]
 Algorithm 795: PHCpack: A generalpurpose 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...