Hierarchical tensor representation

Continued part 1, part 2 of ebook "Tensor spaces and numerical tensor calculus" provides readers with content including: numerical treatment; r-term representation; tensor subspace representation; r-term approximation; tensor subspace approximation; hierarchical tensor representation; matrix product systems; tensor operations; generalised cross approximation; miscellaneous topics;...

304p lytamnguyet 04-08-2023 10 4   Download

In order to treat high-dimensional problems, one has to find data-sparse representations. Starting with a six-dimensional problem, we first introduce the low-rank approximation of matrices. One purpose is the reduction of memory requirements, another advantage is that now vector operations instead of matrix operations can be applied.

24p viryucha2711 24-04-2019 16 1   Download