Invertibility of random matrices: norm of the inverse Export

@misc{citeulike:244193, abstract = {Let A be an n by n matrix, whose entries are independent copies of a centered random variable satisfying the subgaussian tail estimate. We prove that the operator norm of A^{-1} does not exceed Cn^{3/2} with probability close to 1.}, archivePrefix = {arXiv}, author = {Rudelson, Mark}, citeulike-article-id = {244193}, citeulike-linkout-0 = {http://arxiv.org/abs/math.FA/0507024}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.FA/0507024}, day = {1}, eprint = {math.FA/0507024}, keywords = {inverse, matrix, random, theory}, month = {Jul}, posted-at = {2008-03-04 07:09:14}, priority = {2}, title = {Invertibility of random matrices: norm of the inverse}, url = {http://arxiv.org/abs/math.FA/0507024}, year = {2005} }

TY - ELEC ID - citeulike:244193 L3 - citeulike-article-id:244193 N2 - Let A be an n by n matrix, whose entries are independent copies of a centered random variable satisfying the subgaussian tail estimate. We prove that the operator norm of A^{-1} does not exceed Cn^{3/2} with probability close to 1. TI - Invertibility of random matrices: norm of the inverse KW - inverse KW - matrix KW - random KW - theory AU - Rudelson, Mark PY - 2005/Jul/01/ UR - http://arxiv.org/abs/math.FA/0507024 ER -