Revisiting Schur's bound on the largest singular value
泛函分析
2007-05-23 v2
摘要
We give upper and lower bounds on the largest singular value of a matrix using analogues to walks in graphs. For nonnegative matrices these bounds are asymptotically tight. In particular, we improve a bound due to I. Schur.
引用
@article{arxiv.math/0702722,
title = {Revisiting Schur's bound on the largest singular value},
author = {Vladimir Nikiforov},
journal= {arXiv preprint arXiv:math/0702722},
year = {2007}
}