Article
Open Access
Tensor-Train Ranks for Matrices and Their Inverses
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Published/Copyright:
January 1, 2011
Received: 2011-05-06
Revised: 2011-08-16
Accepted: 2011-09-21
Published Online: 2011
Published in Print: 2011
© Institute of Mathematics, NAS of Belarus
Articles in the same Issue
- Preface to the special issue, CMAM 2011, no. 3.
- Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians
- An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples
- Sparse Discrete Ordinates Method in Radiative Transfer
- QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations
- Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation
- Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems
- DMRG Approach to Fast Linear Algebra in the TT-Format
- Tensor-Train Ranks for Matrices and Their Inverses
Keywords for this article
tensor ranks;
tensor-train decomposition;
QTT-ranks;
inverse matrices;
multilevel matrices;
Toeplitz matrices;
banded matrices
Creative Commons
BY-NC-ND 4.0
Articles in the same Issue
- Preface to the special issue, CMAM 2011, no. 3.
- Quantized-TT-Cayley Transform for Computing the Dynamics and the Spectrum of High-Dimensional Hamiltonians
- An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples
- Sparse Discrete Ordinates Method in Radiative Transfer
- QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations
- Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation
- Preconditioned Low-Rank Methods for High-Dimensional Elliptic PDE Eigenvalue Problems
- DMRG Approach to Fast Linear Algebra in the TT-Format
- Tensor-Train Ranks for Matrices and Their Inverses
