Variational calculus with sums of elementary tensors of fixed rank
type: Item
instance of: scholarly article
title: Variational calculus with sums of elementary tensors of fixed rank
zbMATH Open document ID: 1259.65090
author: Mike Espig
author: Thorsten Rohwedder
author: Wolfgang Hackbusch
author: Reinhold Schneider
published in: Numerische Mathematik
publication date: 2013-02-04T00:00:00Z
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C06
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 6134326
zbMATH Keywords: numerical examples
zbMATH Keywords: calculus of variations
zbMATH Keywords: sums of elementary tensors
zbMATH Keywords: minimization methods
zbMATH Keywords: linear system
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: least squares algorithm
MaRDI profile type: Publication
full work available at URL: s00211-012-0464-x
OpenAlex ID: W2141965014
cites work: Numerical operator calculus in higher dimensions
cites work: Algorithms for Numerical Analysis in High Dimensions
cites work: Approximating a wavefunction as an unconstrained sum of Slater determinants
cites work: Approximation of 1/x by exponential sums in [1, ∞)
cites work: A Newton–Grassmann Method for Computing the Best Multilinear Rank-$(r_1,$ $r_2,$ $r_3)$ Approximation of a Tensor
cites work: Black box low tensor-rank approximation using fiber-crosses
cites work: A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format
cites work: On minimal subspaces in tensor representations
cites work: Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems
cites work: Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure
cites work: Multilinear Algebra
cites work: Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions
cites work: Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators
cites work: Approximate iterations for structured matrices
cites work: A new scheme for the tensor representation
cites work: The alternating linear scheme for tensor optimization in the tensor train format
cites work: On manifolds of tensors of fixed TT-rank
cites work: Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
cites work: An approach to n-mode components analysis
cites work: Dynamical Tensor Approximation
cites work: Q4321914
cites work: Principal component analysis of three-mode data by means of alternating least squares algorithms
cites work: Tensor-Train Decomposition
cites work: A new tensor decomposition
cites work: Recursive decomposition of multidimensional tensors
cites work: Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
cites work: Well-posedness of convex maximization problems on Stiefel manifolds and orthogonal tensor product approximations
cites work: Q3818441
DOI: 10.1007/S00211-012-0464-X
Recommended article: Q4807038
Recommended article: Q3704562
Recommended article: Q5142487
Recommended article: Symmetric divergence-free tensors in the calculus of variations
Recommended article: Calculus of variations in Hilbert spaces
Recommended article: Variational calculus with constraints on general algebroids
description: scientific article; zbMATH DE number 6134326