Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898503 | Journal of Complexity | 2018 | 10 Pages |
Abstract
Let A=(aij) be a square nÃn matrix with i.i.d. zero mean and unit variance entries. It was shown by Rudelson and Vershynin in 2008 that the upper bound for the smallest singular value sn(A) is of order nâ12 with probability close to one under the additional assumption that the entries of A satisfy Ea114<â. We remove the assumption on the fourth moment and show the upper bound assuming only Ea112=1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Kateryna Tatarko,