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Nov 8, 2010 at 14:04 comment added Denis Serre @Suvrit. Yes, this is an interesting question.
Nov 8, 2010 at 10:42 vote accept Suvrit
Nov 8, 2010 at 10:32 comment added Suvrit So in light of this answer, instead of looking for bounds of this form, ask my original question (I think I should make a new question): to describe the class of matrices for which $1^TA^{-1}1 \le n$ holds.
Nov 8, 2010 at 9:14 history answered Denis Serre CC BY-SA 2.5