Timeline for Invertibility of a certain matrix indexed by the Hamming cube
Current License: CC BY-SA 3.0
3 events
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| Mar 8, 2013 at 20:48 | comment | added | Richard Stanley | The solution to Exercise 3.96(a) shows how the matrix $M=F(s\wedge t,s)$ can be triangularized, from which a recurrence for the entries of $M$ follows. I believe this is essentially what is done in Section 6 of arXiv:1110.4954, though I haven't looked at this very carefully. It would be interesting to find an explicit formula for the entries of $M^{-1}$. | |
| Mar 8, 2013 at 4:08 | comment | added | Benjamin Young | I am curious, since it turned out so nicely here: In the general setting, is the matrix inverse known? | |
| Mar 8, 2013 at 2:25 | history | answered | Richard Stanley | CC BY-SA 3.0 |