Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse

Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs

(2013) B.N. Khoromskij et al.   Computational Methods in Applied Mathematics

QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations

(2013) Venera Khoromskaia et al.   Computational Methods in Applied Mathematics

Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels

(2011) Cristóbal Bertoglio et al.   COMPUTER PHYSICS COMMUNICATIONS

O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling

(2011) Boris N. Khoromskij   CONSTRUCTIVE APPROXIMATION

A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients

(2011) Sergey Dolgov et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

QTT approximation of elliptic solution operators in higher dimensions

(2011) B. N. Khoromskij et al.   RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING

Numerical Solution of the Hartree–Fock Equation in Multilevel Tensor-Structured Format

(2011) B. N. Khoromskij et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs

(2011) Boris N. Khoromskij et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Tensor-Train Decomposition

(2011) I. V. Oseledets   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Krylov Subspace Methods for Linear Systems with Tensor Product Structure

(2010) Daniel Kressner et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition

(2010) I. V. Oseledets   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Hierarchical Singular Value Decomposition of Tensors

(2010) Lars Grasedyck   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Approximation of matrices with logarithmic number of parameters

(2009) I. V. Oseledets   DOKLADY MATHEMATICS

The tensor structure of the inverse of a banded Toeplitz matrix

(2009) N. L. Zamarashkin et al.   DOKLADY MATHEMATICS

A New Scheme for the Tensor Representation

(2009) W. Hackbusch et al.   JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS

Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions

(2009) I. V. Oseledets et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Tensor Decompositions and Applications

(2009) Tamara G. Kolda et al.   SIAM REVIEW

Unsupervised Multiway Data Analysis: A Literature Survey

(2008) E. Acar et al.   IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING