Gil Goldman

activity

20162024

most citedSingle-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime

2 citations · 5 across the 12 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CA2019

Exponential Taylor domination

Omer Friedland, Gil Goldman, Yosef Yomdin

Let $f (z) = \sum_{k = 0}^{\infty} a_{k} z^{k}$ be an analytic function in a disk $D_{R}$ of radius $R > 0$ , and assume that $f$ is $p$ -valent in $D_{R}$ , i.e. it takes each value $c\in{\mathbb C…

math.NA2019

The spectral properties of Vandermonde matrices with clustered nodes

Dmitry Batenkov, Benedikt Diederichs, Gil Goldman +1

We study rectangular Vandermonde matrices $V$ with $N + 1$ rows and $s$ irregularly spaced nodes on the unit circle, in cases where some of the nodes are "clustered" togethe…

math.NA2019

Super-resolution of near-colliding point sources

Dmitry Batenkov, Gil Goldman, Yosef Yomdin

We consider the problem of stable recovery of sparse signals of the form $F (x) = j = 1 \sum d a_{j} δ (x - x_{j}), x_{j} \in R, a_{j} \in C,$ from their spectral measureme…