Timeline for Help with finding eigenvalues of a class of matrices

Current License: CC BY-SA 3.0

11 events

when toggle format	what		by	license	comment
Nov 11, 2016 at 14:33	comment	added	Michael Barr		Yes that's the right matrix. Thanks. BTW, they add up, as the must to 5, which is a good check.
Nov 11, 2016 at 11:31	answer	added	Pietro Majer		timeline score: 5
Nov 11, 2016 at 7:48	comment	added	Anthony Quas		For $n=20$, there are three eigenvalues outside the unit disk; for $n=50$, there are six and for $n=100$, there are eight.
Nov 11, 2016 at 5:19	history	reopened	Yemon Choi Carlo Beenakker Stefan Kohl♦ Willie Wong Andrés E. Caicedo
Nov 10, 2016 at 19:52	review	Reopen votes
Nov 10, 2016 at 23:39
Nov 10, 2016 at 19:39	comment	added	Carlo Beenakker		the conjecture seems false: for $n=5$ I find the eigenvalues, 3.06664, 1.00351, 0.501031, 0.272797, 0.15602, so there are two eigenvalues greater than 1. Just to be sure we are talking about the same matrix: $$\left( \begin{array}{ccccc} 1 & \frac{1}{2} & \frac{1}{3} & \frac{1}{4} & \frac{1}{5} \\ \frac{1}{2} & 1 & \frac{2}{3} & \frac{2}{4} & \frac{2}{5} \\ \frac{1}{3} & \frac{2}{3} & 1 & \frac{3}{4} & \frac{3}{5} \\ \frac{1}{4} & \frac{2}{4} & \frac{3}{4} & 1 & \frac{4}{5} \\ \frac{1}{5} & \frac{2}{5} & \frac{3}{5} & \frac{4}{5} & 1 \\ \end{array} \right)$$
Nov 10, 2016 at 19:30	history	closed	Will Jagy Franz Lemmermeyer Michael Albanese Alex Degtyarev Dietrich Burde		Not suitable for this site
Nov 10, 2016 at 18:39	comment	added	Yemon Choi		@FedericoPoloni I think this is needlessly harsh. Michael Barr is not some apathetic undergraduate
Nov 10, 2016 at 18:12	review	Close votes
Nov 10, 2016 at 19:35
Nov 10, 2016 at 17:51	comment	added	Federico Poloni		Downvoted for clear lack of effort. You didn't typeset the matrix in Latex, and you don't want to recompute the result for a 3x3 matrix?
Nov 10, 2016 at 17:42	history	asked	Michael Barr	CC BY-SA 3.0