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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
4
votes
0
answers
202
views
Basin of Attraction
I have a function $F$ which is defined as follows:
$$
F(x) = \sum_{i=1}^N f(z_i^T x)
$$
where ${z_i}$ are known $m \times 1$ vectors, $x$ is an $m \times 1$ vector, and for $t\in \mathbb{R}$, $f(t) = …
3
votes
0
answers
127
views
Reducing $\ell_1$ norm of non-full-rank matrices
I have two matrices ${\bf{X}}_{p\times r}$ and ${\bf{Y}}_{r\times q}$ with $r<\min(p,q)$. Matrix ${\bf Y}$ does not have full row rank (i.e., rank$({\bf Y})<r$). Can I build two new matrices ${\bf{X}} …