Archit Kulkarni

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

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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…