• ABINIT

  • Referenced in 53 articles [sw06111]
  • dynamical matrices, Born effective charges, and dielectric tensors. Excited states can be computed within...
  • TENSOR

  • Referenced in 32 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...
  • Complex Optimization Toolbox

  • Referenced in 30 articles [sw14744]
  • least squares: minimization of vector-, matrix- or tensor-valued residual functions, complex bound constraints, Levenberg ... original format (i.e., as a vector, matrix, tensor or even a cell array of tensors ... part of Tensorlab, a MATLAB toolbox for tensor computations. Please consult the Tensorlab user guide...
  • htucker

  • Referenced in 30 articles [sw09637]
  • htucker: htucker - A Matlab toolbox for tensors in hierarchical Tucker format. The hierarchical Tucker format ... storage-efficient scheme to approximate and represent tensors of possibly high order. This paper presents ... efficient storage and manipulation of tensors in hierarchical Tucker format but also others...
  • tproduct

  • Referenced in 23 articles [sw34460]
  • tproduct: Tensor-Tensor Product Toolbox. The tensor-tensor product (t-product) [1] is a natural ... operations on matrix can be extended to tensor cases, including tensor SVD (see an illustration ... figure below), tensor spectral norm, tensor nuclear norm [2] and many others. The linear algebraic ... structure of tensors are similar to the matrix cases. We develop a Matlab toolbox...
  • xPerm

  • Referenced in 33 articles [sw01153]
  • xPerm: fast index canonicalization for tensor computer algebra. We present a very fast implementation ... essential in recent investigations in large-scale tensor computer algebra...
  • LOBPCG

  • Referenced in 33 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...
  • TenEig

  • Referenced in 25 articles [sw14671]
  • Computing tensor eigenvalues via homotopy methods. We introduce the concept of mode-k generalized eigenvalues ... eigenvectors of a tensor and prove some properties of such eigenpairs. In particular, we derive ... number of equivalence classes of generalized tensor eigenpairs using mixed volume. Based on this bound ... structures of tensor eigenvalue problems, we propose two homotopy continuation type algorithms to solve tensor...
  • CFTs4D

  • Referenced in 32 articles [sw23882]
  • frame) formalism. We construct their main ingredients (tensor structures and differential operators) and establish ... discussion by additional details like classification of tensor structures of $n$-point functions, normalization...
  • TSFC

  • Referenced in 25 articles [sw20272]
  • form to the subblocks of the local tensor in discontinuous Galerkin problems. This enables ... preserve the tensor structure of expressions longer through the compilation process than other form compilers ... lowering of finite element constructs to tensor algebra in the first stage, from the scheduling ... those tensor operations in the second stage. TSFC also efficiently traverses complicated expressions, and experimental...
  • SF

  • Referenced in 43 articles [sw07774]
  • standard operations such as scalar products, inner tensor (or Kronecker) products, and plethysm. Beginning with...
  • UQLab

  • Referenced in 43 articles [sw19740]
  • Gaussian process modelling, a.k.a. Kriging, low-rank tensor approximations), rare event estimation (structural reliability), global...
  • DifferentialGeometry

  • Referenced in 30 articles [sw07593]
  • operations of calculus on manifolds, differential geometry, tensor calculus, spinor calculus, Lie algebras, Lie groups ... Killing vector fields and isometry groups, Killing tensors, algebraic classification of solutions of the Einstein...
  • EXCALC

  • Referenced in 41 articles [sw06318]
  • such as calculating the Laplacian of a tensor field for an arbitrary given frame...
  • Golem95

  • Referenced in 25 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...
  • xPert

  • Referenced in 24 articles [sw06827]
  • metric perturbation theory. We present the tensor computer algebra package xPert for fast construction ... order perturbation of curvature tensors and their gauge changes, and the use of highly efficient ... index canonicalization, provided by the underlying tensor system xAct, for Mathematica. We give examples...
  • SHEEP

  • Referenced in 38 articles [sw00855]
  • handling calculations of the components of tensors. Its main use has been in general relativity...
  • MathTensor

  • Referenced in 21 articles [sw09364]
  • Large scale tensor analysis by computer. The paper contains a description of the software package ... equations and for detecting symmetries in tensor structures. The author addresses problems emerging from quantum ... demanding task to convert a large Riemann tensor term into a linear combination...
  • Pcp2Nurb

  • Referenced in 18 articles [sw00689]
  • generalization of the well-known tensor-product control structure. The routine Pcp2Nurb in turn translates ... patch integrates smoothly with untrimmed biquadratic tensor-product surfaces derived from subnets with tensor-product ... planar-cut polyhedron in the manner traditional tensor-product splines follow the outline of their...
  • Riegeom

  • Referenced in 16 articles [sw00805]
  • Riegeom package: abstract tensor calculation This paper describes a new package for abstract tensor calculation ... Riegeom can efficiently simplify generic tensor expressions written in the indicial format. It addresses ... dimension dependent relations of Riemann tensor polynomials. There are tools to manipulate tensors such ... substitution and symmetrization functions. The main tensors of the Riemannian geometry have been implemented...