Archit Kulkarni

most citedOverlaps, Eigenvalue Gaps, and Pseudospectrum under real Ginibre and Absolutely Continuous Perturbations

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.PR2020★ 2 cited

Overlaps, Eigenvalue Gaps, and Pseudospectrum under real Ginibre and Absolutely Continuous Perturbations

Jess Banks, Jorge Garza Vargas, Archit Kulkarni +1

Let $G_{n}$ be an $n \times n$ matrix with real i.i.d. $N (0, 1/ n)$ entries, let $A$ be a real $n \times n$ matrix with $∥ A ∥ \leq 1$ , and let $γ \in (0, 1)$ . We show that with p…

math.FA2019

Gaussian Regularization of the Pseudospectrum and Davies' Conjecture

Jess Banks, Archit Kulkarni, Satyaki Mukherjee +1

A matrix $A \in C^{n \times n}$ is diagonalizable if it has a basis of linearly independent eigenvectors. Since the set of nondiagonalizable matrices has measure zero, every…

math.NA2019

The Lanczos Algorithm Under Few Iterations: Concentration and Location of the Output

Jorge Garza-Vargas, Archit Kulkarni

We study the Lanczos algorithm where the initial vector is sampled uniformly from $S^{n - 1}$ . Let $A$ be an $n \times n$ Hermitian matrix. We show that when run for few ite…