• TensorToolbox

  • Referenced in 87 articles [sw04185]
  • Efficient MATLAB computations with sparse and factored tensors. The term tensor refers simply ... array, and we consider how specially structured tensors allow for efficient storage and computation. First ... study sparse tensors, which have the property that the vast majority of the elements ... zero. We propose storing sparse tensors using coordinate format and describe the computational efficiency...
  • LiE

  • Referenced in 137 articles [sw01075]
  • similar objects. Some specialities of LiE are: tensor product decompositions, branching to subgroups, Weyl group...
  • Maxima

  • Referenced in 127 articles [sw00560]
  • polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high precision numeric results...
  • Algorithm 862

  • Referenced in 58 articles [sw07347]
  • Algorithm 862: MATLAB tensor classes for fast algorithm prototyping. Tensors (also known as multidimensional arrays ... psychometrics. We describe four MATLAB classes for tensor manipulations that can be used for fast ... algorithm prototyping. The tensor class extends the functionality of MATLAB’s multidimensional arrays by supporting ... additional operations such as tensor multiplication. The tensor_as_matrix class supports the “matricization...
  • TensorFlow

  • Referenced in 87 articles [sw15170]
  • graph edges represent the multidimensional data arrays (tensors) communicated between them. The flexible architecture allows...
  • VTK

  • Referenced in 83 articles [sw10593]
  • variety of visualization algorithms including: scalar, vector, tensor, texture, and volumetric methods; and advanced modeling...
  • Cadabra

  • Referenced in 65 articles [sw00097]
  • powerful computer program for the manipulation of tensor equations. It is designed...
  • Tensorlab

  • Referenced in 30 articles [sw14255]
  • Tensorlab: A MATLAB Toolbox for Tensor Computations. Tensorlab is a MATLAB toolbox that offers algorithms ... fusion: define your own (coupled) matrix and tensor factorizations with structured factors and support ... dense, sparse and incomplete data sets, tensor decompositions: canonical polyadic decomposition (CPD), multilinear singular value ... real exact plane search (PS) for tensor optimization, and much more: cumulants, tensor visualization, estimating...
  • TT Toolbox

  • Referenced in 32 articles [sw12627]
  • Toolbox (TT=Tensor Train). TT(Tensor Train) format is an efficient way for low-parametric ... representation of high-dimensional tensors. The TT-Toolbox is a MATLAB implementation of basic operations ... with tensors in TT-format...
  • GRTensorII

  • Referenced in 32 articles [sw00393]
  • geometry. Its purpose is the calculation of tensor components on curved spacetimes specified in terms ... large number of commonly used curvature tensors, as well as the Newman-Penrose formalism ... expandable by a facility for defining new tensors. Calculations can be carried out in spaces...
  • TENSOLVE

  • Referenced in 27 articles [sw00956]
  • equations and nonlinear least-squares problems using tensor methods This article describes a modular software ... using a new class of methods called tensor methods. It is intended for small ... allows the user to choose between a tensor method and a standard method based ... linear model. The tensor method approximates F(x) by a quadratic model, where the second...
  • xAct

  • Referenced in 44 articles [sw07598]
  • suite of free packages for tensor computer algebra in Mathematica. xAct implements state...
  • TENSOR

  • Referenced in 26 articles [sw18284]
  • program, TENSOR, for the calculation of underground explosion phenomena and other time dependent problems involving ... straightforward generalization (to include a stress tensor) of conventional Lagrangian techniques for compressible flow...
  • LieART

  • Referenced in 29 articles [sw08573]
  • Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations ... memory consumption. Extensive tables of properties, tensor products and branching rules of irreducible representations...
  • Invar

  • Referenced in 23 articles [sw00446]
  • Invar Tensor Package. The Invar package is introduced, a fast manipulator of generic scalar polynomial ... expressions formed from the Riemann tensor of a four-dimensional metric-compatible connection. The package ... maximally simplify any polynomial containing tensor products of up to seven Riemann tensors within seconds...
  • xTensor

  • Referenced in 23 articles [sw04984]
  • xTensor: Fast abstract tensor computer algebra. xTensor extends Mathematica capabilities in abstract tensor calculus, specially ... General Relativity. It works with tensors with arbitrary symmetries under permutations of indices, defined ... each manifold and defines all the associated tensors (Riemann, Ricci, Einstein, Weyl, etc.) xTensor does...
  • EXCALC

  • Referenced in 40 articles [sw06318]
  • such as calculating the Laplacian of a tensor field for an arbitrary given frame...
  • Golem95

  • Referenced in 24 articles [sw00371]
  • numerical program to calculate one-loop tensor integrals with up to six external legs. Nature ... problem: Evaluation of one-loop multi-leg tensor integrals occurring in the calculation of next ... amplitudes in elementary particle physics. Solution method: Tensor integrals are represented in terms of form...
  • LOBPCG

  • Referenced in 26 articles [sw09638]
  • consider elliptic PDE eigenvalue problems on a tensorized domain, discretized such that the resulting matrix ... solution vector x in a low-rank tensor format. In this paper...
  • SHEEP

  • Referenced in 36 articles [sw00855]
  • handling calculations of the components of tensors. Its main use has been in general relativity...