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blog.georgeshakan.com
| | nickhar.wordpress.com
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| | 1. Low-rank approximation of matrices Let $latex {A}&fg=000000$ be an arbitrary $latex {n \times m}&fg=000000$ matrix. We assume $latex {n \leq m}&fg=000000$. We consider the problem of approximating $latex {A}&fg=000000$ by a low-rank matrix. For example, we could seek to find a rank $latex {s}&fg=000000$ matrix $latex {B}&fg=000000$ minimizing $latex { \lVert A - B...
| | nhigham.com
4.1 parsecs away

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| | In many applications a matrix $latex A\in\mathbb{R}^{m\times n}$ has less than full rank, that is, $latex r = \mathrm{rank}(A) < \min(m,n)$. Sometimes, $latex r$ is known, and a full-rank factorization $LATEX A = GH$ with $latex G\in\mathbb{R}^{m \times r}$ and $latex H\in\mathbb{R}^{r \times n}$, both of rank $latex r$, is given-especially when $latex r =...
| | lucatrevisan.wordpress.com
4.1 parsecs away

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| | Welcome to phase two of in theory, in which we again talk about math. I spent last Fall teaching two courses and getting settled, I mostly traveled in January and February, and I have spent the last two months on my sofa catching up on TV series. Hence I will reach back to last Spring,...
| | jdh.hamkins.org
22.8 parsecs away

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| I shall be speaking at the ForcingFest meeting at the University of Oslo, 21 June 2024. Abstract. I will explain how the forcing construction can be seen as a direct implementation of the iterative...