Publications

Tensor Approximation

L. Grasedyck:
Existence and Computation of a Low Kronecker-Rank Approximant to the Solution
of a Tensor System with Tensor Right-Hand Side.
Computing 72: 247-265, 2004., DOI: 10.1007/s00607-003-0037-z
Preprint version

M. Espig, L. Grasedyck, W. Hackbusch:
Black Box Low Tensor Rank Approximation using Fibre-Crosses.
Constructive Approximation 30: 557-597, 2009, DOI: 10.1007/s00365-009-9076-9
Preprint version

L. Grasedyck:
Hierarchical Singular Value Decomposition of Tensors.
SIAM J. Matrix Anal. Appl. 31:2029-2054, 2010, DOI: 10.1137/090764189
Preprint version

L. Grasedyck:
Polynomial Approximation in Hierarchical Tucker Format by Vector-Tensorization.
Submitted to BIT
Preprint version

J. Ballani, L. Grasedyck:
A Projection Method to Solve Linear Systems in Tensor Format.
Num. Lin. Alg. Appl., DOI: 10.1002/nla.1818
Preprint version

J. Ballani, L. Grasedyck, M. Kluge:
Black Box Approximation of Tensors in Hierarchical Tucker Format.
Lin. Alg. Appl., DOI: 10.1016/j.laa.2011.08.010
Preprint version

L. Grasedyck, W. Hackbusch:
An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples.
CMAM (2011), DOI: 10.2478/cmam-2011-0016