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arxiv: math/0702722 · v2 · submitted 2007-02-24 · 🧮 math.FA

Revisiting Schur's bound on the largest singular value

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keywords boundboundslargestschursingularvalueanaloguesasymptotically
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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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