Revisiting Schur's bound on the largest singular value

Details Revisiting Schur's bound on the largest singular value Revisiting Schur's bound on the largest singular value

2007-02-24

arxiv.org/abs/math/0702722v2

Mathematics

Functional Analysis

Scientific paper

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.

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