Building z-permuted matrices in the QTT format

DOI10.1134/S096554252012009XzbMath1455.15011OpenAlexW3120275254MaRDI QIDQ828149

I. V. Tsybulin, L. B. Markeeva

Publication date: 8 January 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s096554252012009x

zbMATH Keywords

finite element methodtensor trainlow-rank tensor approximationsquantized tensor trainz-kronz-permutation

Mathematics Subject Classification ID

Special matrices (15B99) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Cites Work

• Unnamed Item
• Tensor-Train Decomposition
• Low-rank tensor structure of linear diffusion operators in the TT and QTT formats
• The strong Kronecker product
• Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions
• Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs
• Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse

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