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20152022
most citedOverlaps, Eigenvalue Gaps, and Pseudospectrum under real Ginibre and Absolutely Continuous Perturbations

2 citations · 6 across the 10 of their papers we have counts for

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math.NA2022

Global Convergence of Hessenberg Shifted QR II: Numerical Stability

Jess Banks, Jorge Garza-Vargas, Nikhil Srivastava

We develop a framework for proving rapid convergence of shifted QR algorithms which use Ritz values as shifts, in finite arithmetic. Our key contribution is a dichotomy result whic…

math.NA2022★ 1 cited

Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration

Jess Banks, Jorge Garza-Vargas, Nikhil Srivastava

We give a self-contained randomized algorithm based on shifted inverse iteration which provably computes the eigenvalues of an arbitrary matrix up to b…