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Revisiting Schur's bound on the largest singular value

Vladimir Nikiforov
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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.

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Vladimir Nikiforov. 2007-03-06. Revisiting Schur's bound on the largest singular value. https://arxiv.org/abs/math/0702722

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