Re: Eigensystem Bug? OS-X
- To: mathgroup at smc.vnet.net
- Subject: [mg56267] Re: Eigensystem Bug? OS-X
- From: carlos at colorado.edu
- Date: Wed, 20 Apr 2005 05:32:23 -0400 (EDT)
- References: <d3o0f3$bnc$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
On my old G4 laptop running MacOS, and calling your matrix A: Print[Timing[Eigenvalues[Rationalize[A]]//InputForm]]; {0.133333 Second, {-6, -6, -6, -6, 0, 0, 6, 6, 6, 6, -3*Sqrt[2], -3*Sqrt[2], -3*Sqrt[2], -3*Sqrt[2], 3*Sqrt[2], 3*Sqrt[2], 3*Sqrt[2], 3*Sqrt[2]}} Note that all eigenvalues of the rationalized matrix are real. In floating form and using Chop to get rid of tiny scraps: Print[Timing[Chop[Eigenvalues[A]]//InputForm]]; {0. Second, {-6.000000000000011, 6.000000000000005, -6.0000000000000036, -6.000000000000003, 6.000000000000001, 5.999999999999999, 5.999999999999997, -5.999999999999993, -4.242640687119292, -4.2426406871192865, 4.242640687119285, 4.242640687119285, 4.242640687119284, -4.242640687119283, 4.242640687119282, -4.242640687119281, 0, 0}}