English

Revisiting Schur's bound on the largest singular value

Functional Analysis 2007-05-23 v2

Abstract

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.

Keywords

Cite

@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}
}