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Nikhil Srivastava

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  • ITCS2 editions2022–2023

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titleconferencedate
Bit Complexity of Jordan Normal Form and Spectral FactorizationITCS 20232023-01-10
Gives a concrete, polynomial‑time procedure that either computes a matrix polynomial spectral factor q (to error ε in coefficient norm) or certifies none…
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A Spectral Approach to Polytope DiameterITCS 20222022-01-31
Constructs a weighted 1-skeleton from the Hessian of log-volume of the polar polytope, shows that Hessian has exactly one positive eigenvalue and decomposes as…
Talk
Gaussian Regularization of the Pseudospectrum and Numerical Linear AlgebraConcentration of Measure Phenomena2020-10-19
Shows that adding a small complex Gaussian regularizes nonnormal spectra: a Toeplitz example has Toeplitz n=100: κ≈10^30 but a tiny random perturbation yields…
Talk
Spectral Sparsification of GraphsWorkshop on Succinct Data Representations and Applications (Simons Institute Big Data 2013)2013-09-16
Claim: every weighted undirected graph admits a spectral sparsifier with about N log N / ε^2 edges that preserves the Laplacian quadratic form up to 1±ε…
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