Best Low-rank Approximations and Kolmogorov $n$-widths
WEBWe relate the problem of best low-rank approximation in the spectral norm for a matrix $A$ to Kolmogorov $n$-widths and corresponding optimal spaces. We characterize all the optimal spaces for the image of the Euclidean unit ball under $A$, and we show that …
- Author: Michael S. Floater, Carla Manni, Espen Sande, Hendrik Speleers
- Publish Year: 2021
See results only from epubs.siam.orgBest Low-rank Approximatio…
We relate the problem of best low-rank approximation in the spectral norm for a …
WEBKolmogorov n-width equals σn+1 and that any orthonormal basis in such n-dimensional optimal space generates a best rank-n approximation to A. This results in a large …
- Author: Michael S. Floater, Carla Manni, Espen Sande, Hendrik Speleers
- Publish Year: 2020
WEBWe relate the problem of best low-rank approximation in the spectral norm for a 5 matrix Ato Kolmogorov n-widths and corresponding optimal spaces. We characterize all the …
Title: Best low-rank approximations and Kolmogorov n-widths
WEBJul 26, 2020 · Best low-rank approximations and Kolmogorov n-widths. Michael S. Floater, Carla Manni, Espen Sande, Hendrik Speleers. We relate the problem of best low-rank …
- Author: Michael S. Floater, Carla Manni, Espen Sande, Hendrik Speleers
- Cite as: arXiv:2007.13196 [math.NA]
- Publish Year: 2020
- Comments: 25 pages, 1 figure
Best low-rank approximations and Kolmogorov n-widths
WEBWe relate the problem of best low-rank approximation in the spectral norm for a matrix $A$ to Kolmogorov $n$-widths and corresponding optimal spaces. We characterize all …
Best Low-rank Approximations and Kolmogorov $n$-widths
WEBWe relate the problem of best low-rank approximation in the spectral norm for a matrix $A$ to Kolmogorov $n$-widths and corresponding optimal spaces. We characterize all …
Best low-rank approximations and Kolmogorov n-widths
WEBJul 26, 2020 · We relate the problem of best low-rank approximation in the spectral norm for a matrix A to Kolmogorov n -widths and corresponding optimal spaces.
Best low-rank approximations and Kolmogorov n-widths | DeepAI
WEBJul 26, 2020 · We relate the problem of best low-rank approximation in the spectral norm for a matrix A to Kolmogorov n-widths and corresponding optimal spaces. We …
WEBThe problem of approximating a given matrix by another matrix of a lower rank is labeled as the problem of low-rank approximation (of matrices). It aims to obtain a more compact …
Best Low-rank Approximations and Kolmogorov $n$-widths
WEBMar 9, 2021 · We relate the problem of best low-rank approximation in the spectral norm for a matrix A to Kolmogorov n-widths and corresponding optimal spaces.
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