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On a condition number of random polynomial systems

arXiv:1403.4293

Abstract

Condition numbers of random polynomial systems have been widely studied in the literature under certain coefficient ensembles of invariant type. In this note we introduce a method that allows us to study these numbers for a broad family of probability distributions. Our work also extends to perturbed systems.

Corrections on the probability bound of the main theorems; additional assumption on the perturbed systems