A projection method to solve linear systems in tensor format
Author:
Affiliation:
1. Max Planck Institute for Mathematics in the Sciences; Inselstraße 22-26; D-04103; Leipzig; Germany
2. Institut für Geometrie und Praktische Mathematik; RWTH Aachen; Templergraben 55; D-52056; Aachen; Germany
Publisher
Wiley
Subject
Applied Mathematics,Algebra and Number Theory
Reference17 articles.
1. Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure;Grasedyck;Computing,2004
2. Algorithms for numerical analysis in high dimensions;Beylkin;SIAM Journal on Scientific Computing,2005
3. Numerical operator calculus in higher dimensions;Beylkin;Proceedings of the National Academy of Sciences of the United States of America,2002
4. Espig M Hackbusch W Rohwedder T Schneider R Variational calculus with sums of elementary tensors of fixed rank Technical Report 52 2009
5. Krylov subspace methods for linear systems with tensor product structure;Kressner;SIAM Journal on Matrix Analysis and Applications,2010
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