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- Maxim Rakhuba, Ivan Oseledets
- The Journal of chemical physics
- 2016

We propose a new algorithm for calculation of vibrational spectra of molecules using tensor train decomposition. Under the assumption that eigenfunctions lie on a low-parametric manifold of low-rank tensors we suggest using well-known iterative methods that utilize matrix inversion (locally optimal block preconditioned conjugate gradient method, inverse… (More)

- Valentin Khrulkov, Maxim Rakhuba, Ivan V. Oseledets
- ArXiv
- 2017

Convolution with Green’s function of a differential operator appears in a lot of applications e.g. Lippmann-Schwinger integral equation. Algorithms for computing such are usually non-trivial and require non-uniform mesh. However, recently Vico, Greengard and Ferrando developed method for computing convolution with smooth functions with compact support with… (More)

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