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Results tagged with linear-algebra
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user 17243
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
1
vote
Restricted Isometry Property (Non Sparse Gaussian)
The $\delta$ constants in the RIP-2 property depend on the number of non-zero entries of $x$, so if the support of $x$ is of fixed size $N-M$, you loose the liberty of prescribing a $\delta$. In this …
- 409
2
votes
Can sparse matrices satisfy the Null Space Property?
There is no reason why the inequality $s \leq C(m,n)\cdot |\{A_{ij}\neq 0\}|$ should hold.
Consider the adjacency matrix $A \in \mathbb{F}_2^{m \times n}$ of a left $d$-regular $(s, \varepsilon)$-expa …
- 409