ugly Plot Eigenvalues ?
- To: mathgroup at smc.vnet.net
- Subject: [mg39670] ugly Plot Eigenvalues ?
- From: Pavel Pokorny <Pavel.Pokorny at vscht.cz>
- Date: Fri, 28 Feb 2003 04:46:07 -0500 (EST)
- Organization: Czech Technical University
- Sender: owner-wri-mathgroup at wolfram.com
Dear Mathematica friends,
How can I plot Re Eigenvalues as a function of a parameter
without unwanted ugly connections between branches?
In the example (computed by Mathematica 4.2 for HP-UX PA-RISC)
m1={{8., 8, 7}, {0, 5, 5}, {8, 0, 0}}
m2={{6., 0, 6}, {10, 8, 3}, {5, 8, 6}}
Plot[Evaluate[Re[Eigenvalues[m1+w*m2]]], {w,-3,3}];
for w approximately -0.4 there is an unwanted vertical bar.
This is related to "ordering" of solutions to equation.
Is there a simple nice solution for this and related examples?
(taking exact numbers in the example above avoids the unwanted connection,
but this is not a good solution for a general machine precission problem)
--
Pavel Pokorny
Math Dept, Prague Institute of Chemical Technology
http://staffold.vscht.cz/mat/Pavel.Pokorny